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| 1. |
A. A. Ayzenberg, V. V. Cherepanov, “Dehn–Sommerville relations for complexity one torus actions”, Uspekhi Mat. Nauk (to appear)  |
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 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. |
Anton A. Ayzenberg, Dmitry V. Gugnin, “On Actions of Tori and Quaternionic Tori on Products of Spheres”, Proc. Steklov Inst. Math., 326 (2024), 1–10  |
| 4. |
Anton A. Ayzenberg, Dmitry V. Gugnin, “Topology of Misorientation Spaces”, Proc. Steklov Inst. Math., 325 (2024), 1–20  |
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| 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  |
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| 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 |
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| 2021 |
| 9. |
A. A. Ayzenberg, V. M. Buchstaber, “Manifolds of isospectral arrow matrices”, Sb. Math., 212:5 (2021), 605–635  |
| 10. |
Anton Ayzenberg, Victor Buchstaber, “Manifolds of isospectral matrices and Hessenberg varieties”, Int. Math. Res. Not. IMRN, 2021:21 (2021), 16669–16690
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10
[x]
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| 2019 |
| 11. |
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. |
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| 2018 |
| 12. |
Anton A. Ayzenberg, “Torus actions of complexity 1 and their local properties”, Proc. Steklov Inst. Math., 302 (2018), 16–32 |
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| 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
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4
[x]
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| 15. |
Anton Ayzenberg, “Topological model for $h''$ vectors of simplicial manifolds”, Bol. Soc. Mat. Mex., III. Ser., 23 (2017), 413–421
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3
[x]
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| 2016 |
| 16. |
Anton Ayzenberg, “Locally standard torus actions and $h'$-numbers of simplicial posets”, J. Math. Soc. Japan, 68:4 (2016), 1725–1745
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4
[x]
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| 17. |
Anton Ayzenberg, Mikiya Masuda, “Volume polynomials and duality algebras of multi-fans”, Arnold Math. J., 2:3 (2016), 329–381
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9
[x]
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| 18. |
Anton Ayzenberg, “Homology cycles in manifolds with locally standard torus actions”, Homology Homotopy Appl., 18:1 (2016), 1–23
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4
[x]
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| 19. |
Anton Ayzenberg, “Buchstaber invariant, minimal non-simplices and related”, Osaka J. Math., 53:2 (2016), 377–395 |
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| 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 |
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| 2013 |
| 21. |
A. A. Aizenberg, “Substitutions of polytopes and of simplicial complexes, and multigraded Betti numbers”, Trans. Moscow Math. Soc., 74 (2013), 175–202 |
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| 2012 |
| 22. |
A. A. Aizenberg, “Topological applications of Stanley-Reisner rings of simplicial complexes”, Trans. Moscow Math. Soc., 73 (2012), 37–65 |
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| 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 |
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| 2009 |
| 25. |
A. A. Aizenberg, “Exponential law for the $K$-power”, Russian Math. Surveys, 64:4 (2009), 745–747 |
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