A. A. Ayzenberg, V. V. Cherepanov, “Dehn–Sommerville relations for complexity one torus actions”, Uspekhi Mat. Nauk (to appear)
2024
2.
Anton Ayzenberg, Victor Buchstaber, “Cluster-permutohedra and submanifolds of flag varieties with torus actions”, Int. Math. Res. Not. IMRN, 2024:3 (2024), 1931–1967 , arXiv: 2203.14133;
3.
A. A. Ayzenberg, D. V. Gugnin, “On actions of tori and quaternionic tori on products of spheres”, 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)
4.
Anton A. Ayzenberg, Dmitry V. Gugnin, “Topology of Misorientation Spaces”, Proc. Steklov Inst. Math., 325 (2024), 1–20
2023
5.
A. A. Ayzenberg, M. Masuda, G. D. Solomadin, “How is a graph not like a manifold?”, Sb. Math., 214:6 (2023), 793–815
2022
6.
Anton A. Ayzenberg, Mikiya Masuda, Takashi Sato, “The Second Cohomology of Regular Semisimple Hessenberg Varieties from GKM Theory”, Proc. Steklov Inst. Math., 317 (2022), 1–20
7.
A. Ayzenberg, V. Buchstaber, “Cluster-permutohedra and submanifolds of flag varieties with torus actions”, 2022, arXiv: 2203.14133
8.
Toricheskaya topologiya, deistviya grupp, geometriya i kombinatorika, Sbornik statei, Trudy MIAN, 317, ed. V. M. Bukhshtaber, A. A. Gaifullin, T. E. Panov, A. A. Aizenberg, MIAN, M., 2022
2021
9.
A. A. Aizenberg, V. M. Bukhshtaber, “Mnogoobraziya izospektralnykh matrits-strelok”, Matem. sb., 212:5 (2021), 3–36;
Anton Ayzenberg, Victor Buchstaber, “Manifolds of isospectral matrices and Hessenberg varieties”, Int. Math. Res. Not. IMRN, 2021:21 (2021), 16669–16690;
Algebraicheskaya topologiya, kombinatorika i matematicheskaya fizika, Sbornik statei. K 75-letiyu so dnya rozhdeniya chlena-korrespondenta RAN Viktora Matveevicha Bukhshtabera, Trudy MIAN, 305, ed. S. P. Novikov, A. A. Gaifullin, T. E. Panov, A. A. Aizenberg, MIAN, M., 2019 , 374 pp.
2018
12.
Anton A. Ayzenberg, “Torus actions of complexity 1 and their local properties”, Proc. Steklov Inst. Math., 302 (2018), 16–32
2017
13.
A. A. Ayzenberg, “Locally standard torus actions and sheaves over Buchsbaum posets”, Sb. Math., 208:9 (2017), 1261–1281
14.
Anton Ayzenberg, Mikiya Masuda, Seonjeong Park, Haozhi Zeng, “Cohomology of toric origami manifolds with acyclic proper faces”, J. Symplectic Geom., 15:3 (2017), 645–685
Anton Ayzenberg, “Buchstaber invariant, minimal non-simplices and related”, Osaka J. Math., 53:2 (2016), 377–395
2015
20.
A. A. Aizenberg, M. Masuda, Seonjeong Park, Haozhi Zeng, “Toric origami structures on quasitoric manifolds”, Proc. Steklov Inst. Math., 288 (2015), 10–28
2013
21.
A. A. Aizenberg, “Substitutions of polytopes and of simplicial complexes, and multigraded Betti numbers”, Trans. Moscow Math. Soc., 74 (2013), 175–202
2012
22.
A. A. Aizenberg, “Topological applications of Stanley-Reisner rings of simplicial complexes”, Trans. Moscow Math. Soc., 73 (2012), 37–65
2011
23.
A. A. Aizenberg, “Connection between Buchstaber invariants and generalized chromatic numbers”, Dal'nevost. Mat. Zh., 11:2 (2011), 113–139
24.
A. A. Aizenberg, V. M. Buchstaber, “Nerve complexes and moment–angle spaces of convex polytopes”, Proc. Steklov Inst. Math., 275 (2011), 15–46
2009
25.
A. A. Aizenberg, “Exponential law for the $K$-power”, Russian Math. Surveys, 64:4 (2009), 745–747
Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 305, ed. S. P. Novikov, A. A. Gaifullin, T. E. Panov, A. A. Ayzenberg, 2019, 374 с. http://mi.mathnet.ru/book1762
2024
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