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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

   2022
2. N. Yu. Erokhovets, “Cohomological rigidity of families of manifolds associated to ideal right-angled hyperbolic $3$-polytopes”, Toric Topology, Group Actions, Geometry, and Combinatorics, Collected papers, Trudy Mat. Inst. Steklova, 317, Steklov Math. Inst., М., 2022 (to appear)  mathnet

   2021
3. N. Yu. Erokhovets, “Theory of families of polytopes: fullerenes and Pogorelov polytopes”, Moscow University Mathematics Bulletin, 76:2 (2021), 83–95  mathnet  crossref  mathscinet  zmath  isi  scopus
4. 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)

   2019
5. 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)

   2018
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: 10)  scopus (cited: 11)

   2017
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: 18)  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)

   2015
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: 10)  elib  elib  scopus (cited: 11)

   2014
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: 5)  elib  elib  scopus (cited: 5)

   2011
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)

   2010
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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