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Sergeev Armen Glebovich
(recent publications)
| by years | scientific publications | by types |



   2019
1. A. G. Sergeev, “Quantum calculus and ideals in the algebra of compact operators”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Tr. Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019 (to appear)  mathnet
2. A. G. Sergeev, “Quantization of Mathematical Theory of Non-Smooth Strings”, Geometric Methods in Physics (XXXVI Workshop, 2017), Trends Math., 2019, 119–129  mathnet  crossref  scopus
3. G. Barsegian, A. Sergeev, A. Montes-Rodrigues, “A new sharp inequality for arbitrary complex polynomials related to Gamma-lines”, Complex Var. Elliptic Equ., 64:3 (2019), 443–446  mathnet  crossref  isi  scopus
4. A. Sergeev, “On Kähler Geometry of Infinite-dimensional Complex Manifolds $\mathrm{Diff}_+(S^1)/S^1$ and $\mathrm{Diff}_+(S^1)/\mathrm{Mob}(S^1)$”, Lobachevskii Journal of Mathematics, 40:9 (2019), 1410–1416 (to appear)  crossref
5. A. G. Sergeev, A. B. Sukhov, Uspekhi Mat. Nauk (to appear)  mathnet

   2019
6. Armen Sergeev, “Twistor Geometry and Gauge Fields”, Geometric Methods in Physics (XX.XVII Workshop, 2018), Trends in Mathematics, Springer Nature, 2019, 240–245 (to appear)
7. Armen G. Sergeev, “Adiabatic limit in Yang–Mills equations in $\mathbb{R}^4$”, Zhurn. SFU. Ser. Matem. i fiz., 12:4 (2019), 449–454  mathnet  crossref  isi

   2018
8. A. G. Sergeev, Twistor Geometry and Gauge Fields, 2018  hlocal  hlocal
9. A. G. Sergeev, “Twistor Geometry and Gauge Fields”, Trans. Moscow Math. Soc., 2018, 135–175  mathnet  crossref  mathscinet  elib  scopus
10. Armen Sergeev, “Mathematical Tomography”, Biostat. Biometrics Open Acc. J., 6:5 (2018), 555697 , 4 pp.  mathnet  crossref

   2017
11. A. G. Sergeev, “Spin Geometry of Dirac and Noncommutative Geometry of Connes”, Proc. Steklov Inst. Math., 298 (2017), 256–293  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 1)

   2019
12. A. G. Sergeev, “Noncommutative Geometry and Analysis”, Journal of Mathematical Sciences, 236:6 (2019), 641662  mathnet  crossref  mathscinet  scopus

   2017
13. Sergeev Armen, “Seiberg-Witten theory as a complex version of Abelian Higgs model”, Sci. China, Math., 60:6 (2017), 1089–1100  mathnet  crossref  mathscinet  isi  scopus
14. A. G. Sergeev, “String theory and quasiconformal maps”, Lobachevskii J. Math., 38:2 (2017), 352–363  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
15. A. Sergeev, “Adiabatic limit in Abelian Higgs model with application to Seiberg–Witten equations”, Phys. Part. Nucl. Lett., 14:2 (2017), 341–346  mathnet  crossref  mathscinet  isi  scopus

   2016
16. A. G. Sergeev, “Quantum Calculus and Quasiconformal Mappings”, Math. Notes, 100:1 (2016), 123–131  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 2)

   2018
17. A. G. Sergeev, “Magnetic Schrödinger operator from the point of view of noncommutative geometry”, Journal of Mathematical Sciences, 293:6 (2018), 949–957  mathnet  crossref  mathscinet  scopus

   2016
18. Armen Sergeev, “Adiabatic limit in GinzburgLandau and SeibergWitten equations”, Geometric Methods in Physics (XXXIV Workshop, Białowieża, Poland, June 28 – July 4, 2015), Trends Math., Trends Math., 2016, 321–330  mathnet  isi  elib  scopus
19. A. G. Sergeev, Introduction to noncommutative geometry, 2016  hlocal  hlocal
20. Armen Sergeev, “The Sobolev space of half-differentiable functions and quasisymmetric homeomorphisms”, Georgian Math. J., 23:4 (2016), 615–622  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 1)
21. A. G. Sergeev, “Quantization of the Sobolev space of half-differentiable functions”, Sb. Math., 207:10 (2016), 1450–1457  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)

   2015
22. A. G. Sergeev, “Twistor interpretation of harmonic spheres and Yang–Mills fields”, Mathematics, 3:1 (2015), 47–75  mathnet (cited: 2)  crossref  zmath  isi (cited: 3)
23. A. G. Sergeev, “Adiabatic Limit in the Ginzburg–Landau and Seiberg–Witten Equations”, Proc. Steklov Inst. Math., 289 (2015), 227–285  mathnet  crossref  crossref  isi (cited: 9)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 8)
24. A. Sergeev, “On the moduli space of Yang-Mills fields on $\mathbb R^4$”, Geometric Methods in Physics, XXXIII Workshop, Białowieża, Poland, June 29 – July 5, 2014, Trends in Mathematics, eds. P. Kielanowski, P. Bieliavsky, A. Odzijewicz, T. Voronov, Birkhauser, Basel, 2015, 167–176  mathnet  crossref

   2017
25. A. G. Sergeev, “On two geometric problems arising in mathematical physics”, J. Math. Sci., 223:6 (2017), 756–762  mathnet  crossref  mathscinet  elib  scopus

   2015
26. A. G. Sergeev, “Matematika i fizika: skovannye odnoi tsepyu”, Beskonechnomernyi analiz, stokhastika, matematicheskoe modelirovanie: novye zadachi i metody. Problemy matematicheskogo i estestvennonauchnogo obrazovaniya, Sbornik statei Mezhdunarodnoi konferentsii, eds. A. I. Kirillov, S. A. Rozanova, Rossiiskii universitet druzhby narodov, M., 2015, 71–77  elib

   2014
27. A. G. Sergeev, Xiangyu Zhou, “Invariant domains of holomorphy: twenty years later”, Proc. Steklov Inst. Math., 285 (2014), 241–250  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)
28. A. Sergeev, “Harmonic spheres conjecture”, Concrete operators, spectral theory, operators in harmonic analysis and approximation, Oper. Theory Adv. Appl., 236, Birkhäuser/Springer, Basel, 2014, 463–473  crossref  mathscinet
29. A. G. Sergeev, Lectures on functional analysis, Lekts. Kursy NOC, 23, Steklov Math. Inst., RAS, Moscow, 2014 , 102 pp.  mathnet  mathnet  crossref  crossref  elib
30. I. V. Beloshapka, A. G. Sergeev, “Harmonic spheres in the Hilbert-Schmidt Grassmannian”, Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014, Advances in the Mathematical Sciences, Amer. Math. Soc. Transl. Ser. 2, 234, eds. V. M. Buchstaber, B. A. Dubrovin, I. M. Krichever, Amer. Math. Soc., Providence, RI, 2014, 13–31  mathscinet
31. A. G. Sergeev, Lectures on universal Teichmüller space, EMS Series of Lectures in Mathematics, EMS Publshing House, Zürich, 2014 , 104 pp.  zmath
32. A. Sergeev, “Quantization of universal Teichmüller space”, Phys. Part. Nucl. Lett., 11:7 (2014), 904–909  mathnet  crossref  elib  scopus

   2013
33. A. G. Sergeev, “Harmonic spheres conjecture”, Geometric methods in physics, XXX Workshop on Geometric Methods in Physics (Bialowiezha, Poland, June 26–July 2, 2011), Trends in Mathematics, eds. P. Kielanowski, S. Twareque Ali, A. Odzijewicz, M. Schlichenmaier, T. Voronov, Birkhäuser, Basel, 2013, 391–404  mathnet  crossref  mathscinet  zmath  scopus
34. A. G. Sergeev, Lectures on universal Teichmüller space, Lekts. Kursy NOC, 21, Steklov Math. Inst., RAS, Moscow, 2013 , 130 pp.  mathnet  mathnet  crossref  crossref  zmath  zmath  elib
35. A. Yu. Vasiliev, A. G. Sergeev, “Classical and quantum Teichmüller spaces”, Russian Math. Surveys, 68:3 (2013), 435–502  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)

   2014
36. A. G. Sergeev, “Adiabatic limit for hyperbolic Ginzburg–Landau equations”, Journal of Mathematical Sciences, 202:6 (2014), 887–896  mathnet  crossref  scopus

   2012
37. A. G. Sergeev, “Magnetic Bloch Theory and Noncommutative Geometry”, Proc. Steklov Inst. Math., 279 (2012), 181–193  mathnet  crossref  mathscinet  isi  elib
38. R. V. Palvelev, A. G. Sergeev, “Justification of the adiabatic principle for hyperbolic Ginzburg–Landau equations”, Proc. Steklov Inst. Math., 277 (2012), 191–205  mathnet  crossref  mathscinet  isi (cited: 6)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)
39. A. G. Sergeev, “Drobnyi kvantovyi effekt Kholla s tochki zreniya nekommutativnoi geometrii”, Trudy Seminara po vektornomu i tenzornomu analizu, 28, MGU, Moskva, 2012, 250–270
40. A. Sergeev, “Harmonic spheres and Yang–Mills fields”, J. Geom. Symmetry Phys., 27 (2012), 1–25  mathnet  crossref  mathscinet  zmath  elib  scopus

   2011
41. A. G. Sergeev, “Quantization of universal Teichmüller space”, Geometry and quantization, Trav. Math., 19, Univ. Luxemb., Luxembourg, 2011, 7–26  mathscinet  zmath
42. A. Sergeev, “Quantization of the universal Teichmüller space”, Complex Var. Elliptic Equ., 56:1-4 (2011), 325–344  crossref  zmath  isi  elib  scopus

   2010
43. A. G. Sergeev, “Adiabatic limit in the Ginzburg–Landau and Seiberg–Witten equations”, Proc. Steklov Inst. Math., 270 (2010), 230–239  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
44. A. G. Sergeev, “Harmonic spheres conjecture”, Theoret. and Math. Phys., 164:3 (2010), 1140–1150  mathnet  crossref  crossref  adsnasa  isi (cited: 2)  elib  elib  scopus (cited: 3)
45. A. Sergeev, Kähler geometry of loop spaces, MSJ Memoirs, 23, Mathematical Society of Japan, Tokyo, 2010 , xvi+212 pp.  mathscinet  zmath


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