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Erokhovets Nikolai Yur'evich
(recent publications)
| by years | scientific publications | by types |

1. N. Yu. Erokhovets, “Canonical geometrization of orientable $3$-manifolds defined by vector-colourings of $3$-polytopes”, Mat. Sb. (to appear)  mathnet

2. N. Yu. Erokhovets, “Theory of families of polytopes: fullerenes and polytopes of A.V. Pogorelov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 2, 61–72  mathnet  mathscinet
3. Nikolai Yu. Erokhovets, “$B$-rigidity of the property to be an almost Pogorelov polytope”, Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial, Contemporary Mathematics, 772, eds. Anatoly M. Vershik, Victor M. Buchstaber, Andrey V. Malyutin, American Mathematical Society, 2021, 107–122 https://www.ams.org/books/conm/772/  crossref  scopus (cited: 1)

4. N. Yu. Erokhovets, “Three-Dimensional Right-Angled Polytopes of Finite Volume in the Lobachevsky Space: Combinatorics and Constructions”, Proc. Steklov Inst. Math., 305 (2019), 78–134  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus (cited: 2)
5. V. A. Alexandrov, L. D. Beklemishev, V. M. Buchstaber, A. Yu. Vesnin, A. A. Gaifullin, N. P. Dolbilin, N. Yu. Erokhovets, M. D. Kovalev, V. S. Makarov, S. P. Novikov, D. O. Orlov, A. N. Parshin, I. Kh. Sabitov, D. V. Treschev, O. K. Sheinman, E. V. Shchepin, “Mikhail Ivanovich Shtogrin (on his 80th birthday)”, Russian Math. Surveys, 74:6 (2019), 1159–1162  mathnet  crossref  crossref  mathscinet  adsnasa  isi

6. Nikolai Erokhovets, “Construction of Fullerenes and Pogorelov Polytopes with 5-, 6-and one 7-Gonal Face”, Symmetry, 10:3 (2018), 67 , 28 pp.  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 4)
7. I. A. Baburin, M. Bouniaev, N. Dolbilin, N. Yu. Erokhovets, A. Garber, S. V. Krivovichev, E. Schulte, “On the origin of crystallinity: on a lower bound for the regularity radius of Delone sets”, Acta Crystallogr. Sect. A, 74:6 (2018), 616–629  mathnet  crossref  mathscinet  isi (cited: 8)  scopus (cited: 10)

8. 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: 16)  elib  elib  scopus (cited: 13)
9. 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: 8)  scopus (cited: 9)
10. 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)
11. V. M. Buchstaber, N. Yu. Erokhovets, “Fullerenes, Polytopes and Toric Topology”, Combinatorial and Toric Homotopy, Introductory Lectures, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore (LNIMSNUS), 35, World Scientific, 2017, 67–-178  mathnet  crossref  mathscinet  isi (cited: 12)  scopus (cited: 5)  scopus (cited: 5)

12. N. Yu. Erokhovets, “$k$-belts and edge-cycles of three-dimensional simple polytopes with at most hexagonal facets”, Dal'nevost. Mat. Zh., 15:2 (2015), 197–213  mathnet  elib
13. 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: 9)  elib  elib  scopus (cited: 11)

14. N. Yu. Erokhovets, “Buchstaber invariant theory of simplicial complexes and convex polytopes”, Proc. Steklov Inst. Math., 286 (2014), 128–187  mathnet  crossref  crossref  isi (cited: 4)  elib  elib  scopus (cited: 4)

15. N. Yu. Erokhovets, “Moment-angle manifolds of simple $n$-polytopes with $n+3$ facets”, Russian Math. Surveys, 66:5 (2011), 1006–1008  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
16. V. M. Buchstaber, N. Yu. Erokhovets, “Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions”, Russian Math. Surveys, 66:2 (2011), 271–367  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)

17. V. M. Buchstaber, N. Yu. Erokhovets, “Algebra of operators on the ring of polytopes and quasi-symmetric functions”, Russian Math. Surveys, 65:2 (2010), 381–383  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

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