N. Yu. Erokhovets, “Manifolds realized as orbit spaces of non-free $\mathbb Z_2^k$-actions on real moment-angle manifolds”, Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, Steklov Math. Inst., Moscow, 2024 (to appear)
2.
Topologiya, geometriya, kombinatorika i matematicheskaya fizika, Sbornik statei. K 80-letiyu chlena-korrespondenta RAN Viktora Matveevicha Bukhshtabera, Trudy MIAN, 326, ed. A. A. Gaifullin, T. E. Panov, D. V. Gugnin, N. Yu. Erokhovets, MIAN, M., 2024
2022
3.
N. Yu. Erokhovets, “Canonical geometrization of orientable $3$-manifolds defined by vector colourings of $3$-polytopes”, Sb. Math., 213:6 (2022), 752–793
4.
Nikolai Yu. Erokhovets, “Cohomological Rigidity of Families of Manifolds Associated with Ideal Right-Angled Hyperbolic 3-Polytopes”, Proc. Steklov Inst. Math., 318 (2022), 90–125
5.
Toricheskaya topologiya, deistviya grupp, geometriya i kombinatorika. Chast 1, Sbornik statei, Trudy MIAN, 317, ed. V. M. Bukhshtaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, MIAN, M., 2022 , 210 pp.
6.
Toricheskaya topologiya, deistviya grupp, geometriya i kombinatorika. Chast 2, Sbornik statei, Trudy MIAN, 318, ed. V. M. Bukhshtaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, MIAN, M., 2022 , 204 pp.
2021
7.
N. Yu. Erokhovets, “Theory of families of polytopes: fullerenes and Pogorelov polytopes”, Moscow University Mathematics Bulletin, 76:2 (2021), 83–95
8.
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/
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
10.
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
2018
11.
Nikolai Erokhovets, “Construction of Fullerenes and Pogorelov Polytopes with 5-, 6-and one 7-Gonal Face”, Symmetry, 10:3 (2018), 67 , 28 pp.
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
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
14.
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
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
16.
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
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
18.
V. M. Buchstaber, N. Yu. Erokhovets, “Truncations of Simple Polytopes and Applications”, Proc. Steklov Inst. Math., 289 (2015), 104–133
2014
19.
N. Yu. Erokhovets, “Buchstaber invariant theory of simplicial complexes and convex polytopes”, Proc. Steklov Inst. Math., 286 (2014), 128–187
2011
20.
N. Yu. Erokhovets, “Moment-angle manifolds of simple $n$-polytopes with $n+3$ facets”, Russian Math. Surveys, 66:5 (2011), 1006–1008
21.
V. M. Buchstaber, N. Yu. Erokhovets, “Polytopes, Fibonacci numbers, Hopf algebras, and quasi-symmetric functions”, Russian Math. Surveys, 66:2 (2011), 271–367
2010
22.
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
2009
23.
N. Yu. Erokhovets, “Gal's Conjecture for Nestohedra Corresponding to Complete Bipartite Graphs”, Proc. Steklov Inst. Math., 266 (2009), 120–132
2008
24.
N. Yu. Erokhovets, “Buchstaber invariant of simple polytopes”, Russian Math. Surveys, 63:5 (2008), 962–964
Флаговые числа и кольцо выпуклых многогранников N. Yu. Erokhovets Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS April 25, 2012 18:30
Квазисимметрические функции и их приложения N. Yu. Erokhovets Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS March 17, 2010 18:30
32.
Инвариант Бухштабера и структура простых многогранников N. Yu. Erokhovets Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS April 16, 2008
Books in Math-Net.Ru
Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, ed. A. A. Gaifullin, T. E. Panov, D. V. Gugnin, N. Yu. Erokhovets, 2024 http://mi.mathnet.ru/book1988
Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Collected papers, Trudy Mat. Inst. Steklova, 317, ed. V. M. Buchstaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, 2022, 210 с. http://mi.mathnet.ru/book1902
Toric Topology, Group Actions, Geometry, and Combinatorics. Part 2, Collected papers, Trudy Mat. Inst. Steklova, 318, ed. V. M. Buchstaber, A. A. Gaifullin, T. E. Panov, N. Yu. Erokhovets, 2022, 204 с. http://mi.mathnet.ru/book1932
2024
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