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Buchstaber Victor Matveevich
(recent publications)
| by years | scientific publications | by types |

1. V. M. Buchstaber, E. Yu. Bunkova, Funktsional. Anal. i Prilozhen. (to appear)  mathnet

2. V. M. Buchstaber, S. I. Tertychnyi, “Group algebras acting on the space of solutions of a special double confluent Heun equation”, Theoret. and Math. Phys., 204:2 (2020), 967–983  mathnet  crossref  crossref  isi  scopus
3. V. M. Buchstaber, E. Yu. Bunkova, “Lie Algebras of Heat Operators in a Nonholonomic Frame”, Math. Notes, 108:1 (2020), 15–28  mathnet  crossref  crossref  isi  scopus
4. V. M. Buchstaber, “Partially framed manifolds and loop spaces on the group $\operatorname{SU}(2)$”, Russian Math. Surveys, 75:4 (2020), 782–784  mathnet  crossref  crossref
5. V. M. Buchstaber, “Multidimensional Sigma Functions and Applications”, Victor Enolski (1945–2019), Notices Amer. Math. Soc., 2020, 2–9, 15 (to appear)
6. V. M. Buchstaber, A. P. Veselov, Chern–Dold character in complex cobordisms and theta divisors, 2020 , 27 pp., arXiv: 2007.05782v2
7. V. M. Buchstaber, M. A. Korolev, “On the scientific works of Dmitry Alexandrovich Popov”, Chebyshevskii Sb., 21:4 (2020) (to appear)  mathnet
8. T. Ayano, V. M. Buchstaber, “Analytical and number-theoretical properties of the two-dimensional sigma function”, Chebyshevskii Sb., 21:1 (2020), 9–50  mathnet  crossref
9. Anton Ayzenberg, Victor Buchstaber, “Manifolds of isospectral matrices and Hessenberg varieties”, Int. Math. Res. Not. IMRN, 2020, 388 (Published online) , 12 pp.  mathnet  crossref; (Published online)

10. V. M. Buchstaber, A. P. Veselov, “Conway topograph, $\mathrm{PGL}_2(\pmb{\mathbb Z})$-dynamics and two-valued groups”, Russian Math. Surveys, 74:3 (2019), 387–430  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
11. V. M. Buchstaber, S. Terzić, “The foundations of $(2n,k)$-manifolds”, Sb. Math., 210:4 (2019), 508–549  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus
12. Takanori Ayano, Victor M. Buchstaber, “Construction of Two Parametric Deformation of KdV-Hierarchy and Solution in Terms of Meromorphic Functions on the Sigma Divisor of a Hyperelliptic Curve of Genus 3”, SIGMA, 15 (2019), 32 , 15 pp., arXiv: 1811.07138  mathnet (cited: 1)  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
13. V. M. Buchstaber, V.Ż. Enolski, D. V. Leykin, “Sigma-functions: old and new results”, Integrable Systems and Algebraic Geometry, v. 2, LMS Lecture Note Series, Cambridge Univ. Press, 2019 (to appear)
14. T. Ayano, V. M. Buchstaber, “Ultraelliptic integrals and two-dimensional sigma-functions”, Funct. Anal. Appl., 53:3 (2019), 157–173  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus (cited: 1)
15. V. M. Buchstaber, I. Yu. Limonchenko, “Massey products, toric topology and combinatorics of polytopes”, Izv. Math., 83:6 (2019), 1081–1136  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
16. V. M. Buchstaber, A. A. Glutsyuk, “Total positivity, Grassmannian and modified Bessel functions”, Functional Analysis and Geometry: Selim Grigorievich Krein Centennial, Contemp. Math., 733, AMS, 2019, 97–107  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
17. V. M. Buchstaber, S. Terzić, “Toric topology of the complex Grassmann manifolds”, Mosc. Math. J., 19:3 (2019), 397–463  mathnet  crossref  mathscinet  isi  scopus;

18. V. M. Buchstaber, S. I. Tertychnyi, “Representations of the Klein Group Determined by Quadruples of Polynomials Associated with the Double Confluent Heun Equation”, Math. Notes, 103:3 (2018), 357–371  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  scopus (cited: 3)
19. V. M. Buchstaber, S. Terzic, Toric topology of the complex Grassmann manifolds, 2018 , arXiv: 1802.06449v2
20. V. M. Buchstaber, “Cobordisms, manifolds with torus action, and functional equations”, Proc. Steklov Inst. Math., 302 (2018), 48–87  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 4)
21. V. M. Buchstaber, V. I. Dragovich, “Two-Valued Groups, Kummer Varieties, and Integrable Billiards”, Arnold Math. J., 4:1 (2018), 27–57  mathnet (cited: 1)  crossref  mathscinet  scopus (cited: 2)
22. V. Buchstaber, V. Enolski, D. Leykin, “Multi-variable sigma-functions: old and new results”, 2018, arXiv: 1810.11079
23. V. Buchstaber, I. Limonchenko, “Direct families of polytopes with nontrivial massey products”, 2018, arXiv: 1811.02221v1
24. V. M. Buchstaber, A. V. Mikhailov, “Polynomial Hamiltonian integrable systems on symmetric powers of plane curves”, Russian Math. Surveys, 73:6 (2018), 1122–1124  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus
25. T. Ayano, V. M. Buchstaber, Construction of two parametric deformation of KdV-hierarchy and solution in terms of meromorphic functions on the sigma divisor of a hyperelliptic curve of genus 3, 2018 , arXiv: 1811.07138v1  zmath
26. T. Ayano, V. M. Buchstaber, The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications, 2018 , arXiv: 1811.05806v1  zmath
27. Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov, MP 2016 (Kezenoi-Am, Russia, 31 October–2 November, 2016), Springer Proceedings in Mathematics & Statistics, 273, Springer, Cham, 2018 , xi+216 pp.  crossref  zmath

28. V. M. Buchstaber, A. V. Mikhailov, “Infinite-Dimensional Lie Algebras Determined by the Space of Symmetric Squares of Hyperelliptic Curves”, Funct. Anal. Appl., 51:1 (2017), 2–21  mathnet  crossref  crossref  mathscinet  isi (cited: 8)  elib  elib  scopus (cited: 7)
29. V. M. Buchstaber, A. A. Glutsyuk, “On Monodromy Eigenfunctions of Heun Equations and Boundaries of Phase-Lock Areas in a Model of Overdamped Josephson Effect”, Proc. Steklov Inst. Math., 297 (2017), 50–89  mathnet  crossref  crossref  mathscinet  isi (cited: 5)  elib  elib  scopus (cited: 5)
30. Victor M. Buchstaber, Nikolay Yu. Erokhovets, “Finite sets of operations sufficient to construct any fullerene from $C_{20}$”, Structural Chemistry, 28:1 (2017), 225–234  mathnet  crossref  isi (cited: 7)  scopus (cited: 8)
31. V. M. Buchstaber, N. Yu. Erokhovets, M. Masuda, T. E. Panov, S. Park, “Cohomological rigidity of manifolds defined by 3-dimensional polytopes”, Russian Math. Surveys, 72:2 (2017), 199–256  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 14)  elib  elib  scopus (cited: 11)
32. V. M. Buchstaber, N. Yu. Erokhovets, “Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes”, Izv. Math., 81:5 (2017), 901–972  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 8)  elib  scopus (cited: 9)
33. T. Ayano, V. M. Buchstaber, “The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications”, Funct. Anal. Appl., 51:3 (2017), 162–176  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 1)
34. V. M. Buchstaber, “Polynomial Lie algebras and the Zelmanov–Shalev theorem”, Russian Math. Surveys, 72:6 (2017), 1168–1170  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 3)
35. V. M. Buchstaber, A. A. Glutsyuk, Total positivity, Grassmannian and modified Bessel functions, 2017 , arXiv: 1708.02154v1
36. V. M. Buchstaber, A. V. Mikhailov, The space of symmetric squares of hyperelliptic curves and integrable Hamiltonian polynomial systems on $R^4$, 2017 , arXiv: 1710.00866v1
37. V. M. Buchstaber, Nikolay Yu. Erokhovets, “Fullerenes, polytopes and toric topology”, Combinatorial and toric homotopy. Introductory lectures, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap., 35, World Scientific, 2017, 67–178  mathnet  crossref  mathscinet  isi (cited: 8)  scopus (cited: 2)  scopus (cited: 2)

38. E. Yu. Bunkova, V. M. Buchstaber, A. V. Ustinov, “Coefficient Rings of Tate Formal Groups Determining Krichever Genera”, Proc. Steklov Inst. Math., 292 (2016), 37–62  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  elib  scopus (cited: 2)
39. Victor M. Buchstaber, Svjetlana Terzić, “Topology and geometry of the canonical action of $T^4$ on the complex Grassmannian $G_{4,2}$ and the complex projective space $\mathbb CP^5$”, Mosc. Math. J., 16:2 (2016), 237–273 , arXiv: 1410.2482  mathnet (cited: 7)  crossref  mathscinet  isi (cited: 7)  elib  scopus (cited: 6)
40. V. M. Buchstaber, “Polynomial dynamical systems and the Korteweg–de Vries equation”, Proc. Steklov Inst. Math., 294 (2016), 176–200  mathnet  crossref  crossref  mathscinet  isi (cited: 11)  elib  elib  scopus (cited: 11)
41. V. M. Buchstaber, S. I. Tertychnyi, “Automorphisms of the solution spaces of special double-confluent Heun equations”, Funct. Anal. Appl., 50:3 (2016), 176–192  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 9)  elib  elib  scopus (cited: 6)
42. V. M. Buchstaber, A A Glutsyuk, “On determinants of modified Bessel functions and entire solutions of double confluent Heun equations”, Nonlinearity, 29 (2016), 3857–3870 , arXiv: 1509.01725  mathnet  crossref  mathscinet  isi (cited: 7)  elib  scopus (cited: 7)
43. V. M. Buchstaber, T. E. Panov, “On manifolds defined by 4-colourings of simple 3-polytopes”, Russian Math. Surveys, 71:6 (2016), 1137–1139  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib  elib  scopus (cited: 7)

44. V. M. Buchstaber, T. E. Panov, Toric Topology, Mathematical Surveys and Monographs, 204, Amer. Math. Soc., 2015 , 518 pp., arXiv: 1210.2368v3  crossref  mathscinet  zmath
45. V. M. Buchstaber, S. I. Tertychnyi, “Holomorphic solutions of the double confluent Heun equation associated with the RSJ model of the Josephson junction”, Theoret. and Math. Phys., 182:3 (2015), 329–355  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 9)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 8)
46. V. M. Buchstaber, E. Yu. Bunkova, “The universal formal group that defines the elliptic function of level 3”, Chebyshevskii Sb., 16:2 (2015), 66–78  mathnet  elib
47. V. M. Buchstaber, N. Yu. Erokhovets, “Truncations of Simple Polytopes and Applications”, Proc. Steklov Inst. Math., 289 (2015), 104–133  mathnet  crossref  crossref  isi (cited: 7)  elib  elib  scopus (cited: 8)
48. V. M. Buchstaber, S. I. Tertychnyi, “On a Remarkable Sequence of Bessel Matrices”, Math. Notes, 98:5 (2015), 714–724  mathnet  crossref  crossref  mathscinet  isi (cited: 6)  elib  scopus (cited: 3)
49. V. M. Buchstaber, A. V. Ustinov, “Coefficient rings of formal group laws”, Sb. Math., 206:11 (2015), 1524–1563  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 9)  elib  elib  scopus (cited: 5)
50. V. M. Buchstaber, E. Yu. Bunkova, “Manifolds of Solutions for Hirzebruch Functional Equations”, Proc. Steklov Inst. Math., 290 (2015), 125–137  mathnet  crossref  crossref  isi (cited: 7)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)
51. V. M. Buchstaber, I. V. Netay, “Hirzebruch Functional Equation and Elliptic Functions of Level $d$”, Funct. Anal. Appl., 49:4 (2015), 239–252  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib  elib  scopus (cited: 2)
52. International Conference Proceedings (6–12 September 2015, Khabarovsk), eds. V. M. Buchstaber, V. A. Bykovskii, TOGU, 2015 , 140 pp.
53. V. M. Buchstaber, “Toric Topology and Carbon Structures (Fullerenes and Grafenes)”, International Conference Proceedings (6–12 September 2015, Khabarovsk), TOGU, 2015, 9–10  mathscinet
54. V. M. Bukhshtaber, N. Yu. Erokhovets, “Toricheskaya topologiya fullerenov”, tezisy doklada, Materialy Mezhdunarodnoi konferentsii (6–12 sentyabrya 2015 g., Khabarovsk), Izd. TOGU, 2015, 69–70
55. V. M. Bukhshtaber, G. D. Solomadin, Yu. M. Ustinovskii, “Dvuparametricheskii rod Todda i toricheskie razresheniya osobennostei”, tezisy doklada, Materialy Mezhdunarodnoi konferentsii (6–12 sentyabrya 2015 g., Khabarovsk), Tikhookeanskii gosudarstvennyi universitet, Khabarovsk, 2015, 112–113  elib
56. V. M. Buchstaber, “Fullerenes and polygonal partitions of surfaces”, abstract, 3-rd Workshop on Analysis, Geometry and Probability (September 28 – October 2, 2015 Ulm University, Germany), DAAD, 2015, 22
57. V. M. Buchstaber, N. Yu. Erokhovets, Construction of Fullerenes, 2015 , arXiv: 1510.02948 v1 [math.CO]
58. V. M. Buchstaber, A. A. Kustarev, “Embedding theorems for quasi-toric manifolds given by combinatorial data”, Izv. Math., 79:6 (2015), 1157–1183  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus

59. V. M. Buchstaber, S. I. Tertychnyi, “Dynamical systems on a torus with identity Poincaré map which are associated with the Josephson effect”, Russian Math. Surveys, 69:2 (2014), 383–385  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
60. V. M. Buchstaber, E. Yu. Netay, “$\mathbb{C}P(2)$-multiplicative Hirzebruch genera and elliptic cohomology”, Russian Math. Surveys, 69:4 (2014), 757–759  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib  scopus
61. V. M. Buchstaber, E. Yu. Netay, Differential-algebraic solutions of the heat equation, 2014 , 11 pp., arXiv: 1405.0926  mathscinet
62. V. M. Buchstaber, S. Terzic, Towards the theory of $(2n,k)$-manifolds: primary examples, 2014 , arXiv: 1410.2482
63. V. M. Buchstaber, E. Yu. Netay, “Differential-algebraic solutions of the heat equations”, Tezisy dokladov VII Mezhdunorodnoi konferentsii po differentsialnym i funktsionalno-differentsialnym uravneniyam (DFDE) (Moskva, 22–24 avgusta 2014 g.), 2014, 25–26 http://dfde2014.mi.ras.ru/files/abstracts.pdf
64. V. M. Buchstaber, S. Terzic, “$(2n,k)$-manifolds and applications”, Report No 27/2014, Mathematisches Forschung Institut (25–31 May 2014), Oberwolfach, 2014, 11–14 https://www.mfo.de/document/1422b/preliminary_OWR_2014_27.pdf
65. V. M. Buchstaber, B. A. Dubrovin, I. M. Krichever (Eds.), Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014, Advances in the Mathematical Sciences, Amer. Math. Soc. Transl. Ser. 2, 234, 2014 , 393 pp.  mathscinet  zmath
66. V. M. Buchstaber, “Dynamical system on a torus associated to Josephson junction model”, International Conference Applied and Geometrical Analysys (Samarkand, Uzbekistan, 22–25 September 2014), 2014, 12
67. V. M. Buchstaber, “Hirzebruch genera and functional equations”, Tezisy Mezhdunarodnoi konferentsii, posvyaschennoi 85-letiyu akademika Yu. G. Reshetnyaka (Novosibirsk, 24–27 sentyabrya 2014 g.), Institut matematiki im. S. L. Soboleva SO RAN, 2014, 90–91
68. V. M. Buchstaber, “Dynamical systems on a torus associated to Josephson junction”, Prikladnoi i geometricheskii analiz, Mezhdunarodnaya konferentsiya: tezisy dokladov (Samarkand, 22–25 sentyabrya 2014 g.), Novosibirskii gosudarstvennyi tekhnicheskii universitet, Novosibirsk, 2014, 12  elib
69. V. M. Buchstaber, Jelena Grbić, “Hopf algebras and homologyof loop suspension spaces”, Topology, Geometry, Integrable Systems, and Mathematical Physic, Novikov's seminar: 2012–2014, Amer. Math. Soc. Transl., ser. 2, 234, Amer. Math. Soc., Providence, RI, 2014, 75–92  mathscinet  zmath; 19 Nov 2010, arXiv: 1011.2549 (v2)

70. V. M. Buchstaber, S. I. Tertychnyi, “Explicit solution family for the equation of the resistively shunted Josephson junction model”, Theoret. and Math. Phys., 176:2 (2013), 965–986  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 10)
71. V. M. Bukhshtaber, S. Terzić, “Toric genera of homogeneous spaces and their fibrations”, Int. Math. Res. Not. IMRN, 2013, no. 6, 1324–1403 , arXiv: 1102.4165  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
72. V. M. Bukhshtaber, “Nekommutativnye simmetricheskie funktsii i kombinatorika vypuklykh mnogogrannikov”, I. M. Gelfand i sovremennaya matematika (Moskva, 17–19 dekabrya 2013 g.), 2013, 8–9 http://gelfand100.mech.math.msu.su/  mathscinet
73. V. M. Bukhshtaber, V. A. Bykovskii (red.), Deistviya torov: topologiya, geometriya, teoriya chisel, Khabarovsk, 2–7 sentyabrya 2013 g., Tezisy dokladov Mezhdunarodnoi otkrytoi rossiisko-kitaiskoi konferentsii, Izd-vo Tikhookean. gos. un-ta, Khabarovsk, 2013 , 127 pp.

74. V. M. Buchstaber, Jelena Grbic, Hopf algebras and homotopy invariants, 2012 , arXiv: 1011.2549
75. V. M. Buchstaber, O. V. Karpov, S. I. Tertychnyi, “A system on a torus modelling the dynamics of a Josephson junction”, Russian Math. Surveys, 67:1 (2012), 178–180  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 12)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 8)
76. V. M. Buchstaber, “Complex cobordism and formal groups”, Russian Math. Surveys, 67:5 (2012), 891–950  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 7)
77. E. Yu. Bunkova, V. M. Buchstaber, “Polynomial Dynamical Systems and Ordinary Differential Equations Associated with the Heat Equation”, Funct. Anal. Appl., 46:3 (2012), 173–190  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
78. V. M. Buchstaber, E. Yu. Bunkova, Algebraically integrable quadratic dynamical systems, 2012 , 10 pp., arXiv: 1212.6675  mathscinet
79. V. M. Buchstaber, E. Yu. Bunkova, Ordinary differential equations associated with the heat equation, 2012 , 20 pp., arXiv: 1204.3784  mathscinet
80. V. M. Buchstaber, V. D. Volodin, “Combinatorial 2-truncated cubes and applications”, Associahedra, Tamari Lattices, and Related Structures, Tamari Memorial Festschrift, Progress in Mathematics, 299, Birkhäuser, Basel, 2012, 161–186  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 9)
81. V. M. Buchstaber, “Symmetric quadratic dynamical systems”, International Conference “Analysys and singularities” dedicated to the 75th anniversary of Vladimir Igorevich Arnold, Abstracts (Moscow, December 17–21, 2012), 2012, 124 http://arnold75.mi.ras.ru/Abstracts.pdf
82. V. M. Buchstaber, V. Z. Enolski, D. V. Leykin, Multi-Dimensional Sigma-Functions, 2012 , 267 pp., arXiv: 1208.0990

83. V. M. Bukhshtaber, V. D. Volodin, “Tochnye verkhnie i nizhnie granitsy dlya nestoedrov”, Izv. RAN. Ser. matem., 75:6 (2011), 17–46 , arXiv: 1005.1631v2  mathnet (cited: 10)  crossref  mathscinet  zmath  adsnasa  isi (cited: 10)  elib (cited: 4)
84. V. M. Bukhshtaber, N. Yu. Erokhovets, “Mnogogranniki, chisla Fibonachchi, algebry Khopfa i kvazisimmetricheskie funktsii”, UMN, 66:2(398) (2011), 67–162  mathnet (cited: 5)  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 4)
85. V. M. Bukhshtaber, E. Yu. Bunkova, “Formalnye gruppy Krichevera”, Funkts. analiz i ego pril., 45:2 (2011), 23–44  mathnet (cited: 18)  crossref  mathscinet  zmath  isi (cited: 18)  elib (cited: 11)
86. A. A. Aizenberg, V. M. Bukhshtaber, “Nerv-kompleksy i moment–ugol-prostranstva vypuklykh mnogogrannikov”, Klassicheskaya i sovremennaya matematika v pole deyatelnosti Borisa Nikolaevicha Delone, Sbornik statei. K 120-letiyu so dnya rozhdeniya chlena-korrespondenta AN SSSR Borisa Nikolaevicha Delone, Tr. MIAN, 275, MAIK, M., 2011, 22–54  mathnet (cited: 7)  mathscinet  isi (cited: 6)  elib (cited: 3)
87. V. M. Bukhshtaber, V. A. Bykovskii (red.), Mezhdunarodnaya konferentsiya Toricheskaya topologiya i avtomorfnye funktsii, Tezisy dokladov, Izdatelstvo TOGU, Khabarovsk, 2011 , 198 pp.
88. A. A. Ayzenberg, V. M. Buchstaber, “Moment-angle spaces of nonsimple polytopes”, Mezhdunarodnaya konferentsiya Toricheskaya topologiya i avtomorfnye funktsii, Tezisy dokladov (Khabarovsk, 5–10 sentyabrya 2011), Izdatelstvo TOGU, Khabarovsk, 2011, 7–8

89. V. M. Buchstaber, N. Yu. Erokhovets, Ring of Polytopes, Quasi-symmetric functions and Fibonacci numbers, 2010 , arXiv: 1002.0810v1
90. V. M. Buchstaber, E. Yu. Bunkova, Elliptic formal group laws, integral Hirzebruch genera and Krichever genera, 2010 , 39 pp., arXiv: 1010.0944
91. V. M. Bukhshtaber, O. V. Karpov, S. I. Tertychnyi, “Effekt kvantovaniya chisla vrascheniya”, TMF, 162:2 (2010), 254–265  mathnet (cited: 15)  crossref  mathscinet  zmath  adsnasa  isi (cited: 18)  elib (cited: 8)
92. V. M. Bukhshtaber, N. Yu. Erokhovets, “Algebra operatorov na koltse mnogogrannikov i kvazisimmetricheskie funktsii”, UMN, 65:2(392) (2010), 197–198  mathnet (cited: 1)  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)
93. V. M. Buchstaber, E. Yu. Bunkova, “Addition theorems, formal group laws and integrable systems”, XXIX Workshop on Geometric Methods in Physics, AIP Conference Proceedings, 1307, 2010, 33–43  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)
94. A. A. Ayzenberg, V. M. Buchstaber, Moment-angle complexes and polyhedral products for convex polytopes, 2010 , arXiv: 1010.1922v3
95. V. M. Buchstaber, N. Yu. Erokhovets, Polytopes, Hopf algebras and Quasi-symmetric functions, 2010 , arXiv: 1011.1536v1
96. V. M. Bukhshtaber, V. Dragovic, Two-valued groups, Kummer varieties and integrable billiards, 2010 , arXiv: 1011.2716v1  zmath
97. V. M. Bukhshtaber, “Obschii rod Krichevera”, UMN, 65:5(395) (2010), 187–188  mathnet (cited: 4)  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 3)
98. V. Buchstaber, T. Panov, N. Ray, “Toric genera”, Int. Math. Res. Notices IMRN, 2010, no. 16, 3207–3262 , arXiv: 0908.3298v2  crossref  mathscinet  zmath  isi (cited: 15)  elib (cited: 8)  scopus (cited: 16)
99. V. Buchstaber, P. Kielanowski, A. Odzijewicz, M. Schlichenmaier, T. Voronov (Eds.), XXIX Workshop on Geometric Methods in Physics, AIP Conf. Proc., 1307, 2010 , 230 pp.  mathscinet  zmath

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