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Ayzenberg, Anton Andreyevich

Total publications: 25 (23)
in MathSciNet: 10 (10)
in zbMATH: 13 (13)
in Web of Science: 13 (13)
in Scopus: 17 (17)
Cited articles: 15
Citations: 72
Presentations: 76

Number of views:
This page:5776
Abstract pages:4765
Full texts:1096
References:620
Candidate of physico-mathematical sciences (2012)
Speciality: 01.01.04 (Geometry and topology)
E-mail:

https://www.mathnet.ru/eng/person48136
List of publications on Google Scholar
https://zbmath.org/authors/ai:ayzenberg.anton-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/886027

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. A. A. Ayzenberg, V. V. Cherepanov, “Dehn–Sommerville relations for complexity one torus actions”, Uspekhi Mat. Nauk (to appear)  mathnet

   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  mathnet  crossref  isi;
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  mathnet  crossref
4. Anton A. Ayzenberg, Dmitry V. Gugnin, “Topology of Misorientation Spaces”, Proc. Steklov Inst. Math., 325 (2024), 1–20  mathnet  crossref  crossref  zmath  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   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  mathnet  crossref  crossref  scopus
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  mathnet

   2021
9. A. A. Aizenberg, V. M. Bukhshtaber, “Mnogoobraziya izospektralnykh matrits-strelok”, Matem. sb., 212:5 (2021), 3–36  mathnet  crossref  mathscinet  zmath  adsnasa  isi;  crossref  mathscinet  zmath  isi  elib  scopus 1
10. Anton Ayzenberg, Victor Buchstaber, “Manifolds of isospectral matrices and Hessenberg varieties”, Int. Math. Res. Not. IMRN, 2021:21 (2021), 16669–16690  mathnet  crossref  isi  scopus; 9

   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.  mathnet

   2018
12. Anton A. Ayzenberg, “Torus actions of complexity 1 and their local properties”, Proc. Steklov Inst. Math., 302 (2018), 16–32  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2017
13. A. A. Ayzenberg, “Locally standard torus actions and sheaves over Buchsbaum posets”, Sb. Math., 208:9 (2017), 1261–1281  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
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  mathnet  crossref  zmath  isi  scopus 4
15. Anton Ayzenberg, “Topological model for $h''$ vectors of simplicial manifolds”, Bol. Soc. Mat. Mex., III. Ser., 23 (2017), 413–421  mathnet  crossref  mathscinet  isi  scopus 3

   2016
16. Anton Ayzenberg, “Locally standard torus actions and $h'$-numbers of simplicial posets”, J. Math. Soc. Japan, 68:4 (2016), 1725–1745  mathnet  crossref  mathscinet  zmath  isi  scopus 4
17. Anton Ayzenberg, Mikiya Masuda, “Volume polynomials and duality algebras of multi-fans”, Arnold Math. J., 2:3 (2016), 329–381  mathnet  crossref  zmath  scopus 9
18. Anton Ayzenberg, “Homology cycles in manifolds with locally standard torus actions”, Homology Homotopy Appl., 18:1 (2016), 1–23  mathnet  crossref  zmath  isi  scopus 4
19. Anton Ayzenberg, “Buchstaber invariant, minimal non-simplices and related”, Osaka J. Math., 53:2 (2016), 377–395  mathnet  mathscinet  zmath

   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  mathnet  crossref  crossref  isi  elib  scopus

   2013
21. A. A. Aizenberg, “Substitutions of polytopes and of simplicial complexes, and multigraded Betti numbers”, Trans. Moscow Math. Soc., 74 (2013), 175–202  mathnet  crossref  mathscinet  zmath  elib  scopus

   2012
22. A. A. Aizenberg, “Topological applications of Stanley-Reisner rings of simplicial complexes”, Trans. Moscow Math. Soc., 73 (2012), 37–65  mathnet  crossref  zmath  elib  elib  scopus

   2011
23. A. A. Aizenberg, “Connection between Buchstaber invariants and generalized chromatic numbers”, Dal'nevost. Mat. Zh., 11:2 (2011), 113–139  mathnet  elib
24. A. A. Aizenberg, V. M. Buchstaber, “Nerve complexes and moment–angle spaces of convex polytopes”, Proc. Steklov Inst. Math., 275 (2011), 15–46  mathnet  crossref  mathscinet  isi  elib  elib  scopus

   2009
25. A. A. Aizenberg, “Exponential law for the $K$-power”, Russian Math. Surveys, 64:4 (2009), 745–747  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

Presentations in Math-Net.Ru
1. Local and global combinatorial structure of torus actions
A. A. Ayzenberg
International Conference "Algebraic Topology and Applications"
December 20, 2021 10:00   
2. Приложения конечных топологий. Семинар 3
А. А. Айзенберг
Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021
July 24, 2021 17:15   
3. Приложения конечных топологий. Семинар 2
А. А. Айзенберг
Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021
July 22, 2021 15:30   
4. Приложения конечных топологий. Семинар 1
А. А. Айзенберг
Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021
July 20, 2021 17:15   
5. Homological theory of torus actions (joint meeting with the Seminar of the International Laboratory of Algebraic Topology and its Applications of the Computer Science Department of NRU HSE)
A. A. Ayzenberg
Geometric Topology Seminar
June 25, 2021 18:00   
6. Orbit spaces for torus actions of complexity one
A. A. Ayzenberg
Geometric Topology Seminar
September 18, 2020 17:00   
7. Toric topology of complexity one
A. A. Ayzenberg
Algebraic topology and its applications. Postnikov memorial seminar
March 3, 2020 16:45
8. Гомотопические копределы диаграмм и теорема о нерве покрытия
A. A. Ayzenberg

September 20, 2019 18:10
9. Действие тора и потоки Тоды на пространствах изоспектральных матриц
A. A. Ayzenberg
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
August 28, 2019 14:00
10. Torus actions on quoric 8-folds
A. A. Ayzenberg
Japanese-Russian Seminar on Toric Topology and Homotopy Theory
August 26, 2019 11:10   
11. Вокруг g-теоремы, занятие 4
A. A. Ayzenberg

July 26, 2019 09:30   
12. Вокруг g-теоремы, занятие 3
A. A. Ayzenberg

July 24, 2019 09:30   
13. Вокруг g-теоремы, занятие 2
A. A. Ayzenberg

July 22, 2019 15:30   
14. Вокруг g-теоремы, занятие 1
A. A. Ayzenberg

July 20, 2019 15:30   
15. Пространства периодических трехдиагональных матриц и немного кристаллографии
A. A. Ayzenberg
Differential operators on singular spaces, algebraically integrable systems and quantization
December 3, 2018 18:35
16. Периодический поток Тоды и пермутоэдрический паркет
A. A. Ayzenberg
Differential operators on singular spaces, algebraically integrable systems and quantization
October 29, 2018 18:35
17. The topology of compact torus actions of complexity one
A. Ayzenberg
Lie groups and invariant theory
October 24, 2018 16:45
18. Топология пространств изоспектральных эрмитовых матриц, инвариантных относительно действия тора
A. A. Ayzenberg
Meetings of the Moscow Mathematical Society
October 16, 2018 18:30
19. Spaces of isospectral Hermitian matrices having zeroes at prescribed positions
A. A. Ayzenberg
Geometric Topology Seminar
October 15, 2018 15:30
20. On isospectral space of periodic three-diagonal hermitian matrices
A. A. Ayzenberg
Algebraic topology and its applications. Postnikov memorial seminar
October 2, 2018 16:45
21. Пространства матриц и многогранники, занятие 4
A. A. Ayzenberg
Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018
July 25, 2018 17:15   
22. Пространства матриц и многогранники, занятие 3
A. A. Ayzenberg
Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018
July 23, 2018 11:15   
23. Пространства матриц и многогранники, занятие 2
A. A. Ayzenberg
Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018
July 21, 2018 09:30   
24. Пространства матриц и многогранники, занятие 1
A. A. Ayzenberg
Summer School "Contemporary Mathematics" named Vitaly Arnold, 2018
July 20, 2018 11:15   
25. Torus actions of complexity one
A. A. Aizenberg
Algebraic topology and its applications. Postnikov memorial seminar
February 20, 2018 16:45
26. Многообразия ступенчатых изоспектральных матриц и многообразия Хессенберга
A. A. Aizenberg
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
November 15, 2017 18:30
27. Объемы мульти-многогранников и алгебры мульти-вееров
A. A. Aizenberg
Differential operators on singular spaces, algebraically integrable systems and quantization
October 30, 2017 19:40
28. On manifold of Isospectrum Hermitian matrixes-arrows
A. A. Aizenberg
Algebraic topology and its applications. Postnikov memorial seminar
October 24, 2017 16:45
29. Топология-3. Лекция 15
A. A. Aizenberg

May 19, 2017 17:30   
30. Топология-3. Лекция 14
A. A. Aizenberg

May 12, 2017 17:30   
31. Топология-3. Лекция 13
A. A. Aizenberg

May 5, 2017 17:30   
32. Топология-3. Лекция 12
A. A. Aizenberg

April 28, 2017 17:30   
33. Топология-3. Лекция 11
A. A. Aizenberg

April 21, 2017 17:30   
34. Топология-3. Лекция 10
A. A. Aizenberg

April 14, 2017 17:30   
35. Топология-3. Лекция 9
A. A. Aizenberg

April 7, 2017 17:30   
36. Spectral sequences associated with torus actions
Anton Ayzenberg
British-Russian Seminar on Toric Topology and Homotopy Theory
April 4, 2017 10:30
37. Топология-3. Лекция 8
A. A. Aizenberg

March 31, 2017 17:30   
38. Топология-3. Лекция 7
A. A. Aizenberg

March 24, 2017 17:30   
39. Топология-3. Лекция 6
A. A. Aizenberg

March 17, 2017 17:30   
40. Топология-3. Лекция 5
A. A. Aizenberg

March 10, 2017 17:30   
41. Топология-3. Лекция 4
A. A. Aizenberg

March 3, 2017 17:30   
42. Топология-3. Лекция 3
A. A. Aizenberg

February 24, 2017 17:35   
43. Топология-3. Лекция 2
A. A. Aizenberg

February 17, 2017 17:30   
44. Торическая топология, лекция 13
A. A. Aizenberg
A. A. Ayzenberg, Toric topology, Fall 2016
December 15, 2016   
45. Торическая топология, лекция 12
A. A. Aizenberg
A. A. Ayzenberg, Toric topology, Fall 2016
December 8, 2016   
46. Торическая топология, лекция 11
A. A. Aizenberg
A. A. Ayzenberg, Toric topology, Fall 2016
December 1, 2016   
47. Торическая топология, лекция 10
A. A. Aizenberg
A. A. Ayzenberg, Toric topology, Fall 2016
November 24, 2016   
48. Торическая топология, лекция 9
A. A. Aizenberg
A. A. Ayzenberg, Toric topology, Fall 2016
November 17, 2016   
49. Почему не бывает симплектических торических многообразий над додекаэдром?
A. A. Aizenberg
Algebraic topology and its applications. Postnikov memorial seminar
November 15, 2016 16:45
50. Торическая топология, лекция 8
A. A. Aizenberg
A. A. Ayzenberg, Toric topology, Fall 2016
November 10, 2016   
51. Торическая топология, лекция 7
A. A. Aizenberg
A. A. Ayzenberg, Toric topology, Fall 2016
November 3, 2016   
52. Комбинаторика триангулированных многообразий
A. A. Aizenberg
Knots and Representation Theory
May 17, 2016 18:30
53. Combinatorics, topology and algebra of simplicial complexes. Lecture 10
A. A. Aizenberg
A. A. Aizenberg course "Combinatorics, topology and algebra of simplicial complexes", spring semester 2015/2016
May 16, 2016 18:00   
54. Топология-3, лекция 12
A. A. Aizenberg

May 5, 2016   
55. Топология-3, лекция 11
A. A. Aizenberg

April 28, 2016   
56. Комбинаторика триангулированных многообразий и многочлены объема мультивееров
A. A. Aizenberg
Meetings of the Moscow Mathematical Society
April 26, 2016
57. Combinatorics, topology and algebra of simplicial complexes. Lecture 9
A. A. Aizenberg
A. A. Aizenberg course "Combinatorics, topology and algebra of simplicial complexes", spring semester 2015/2016
April 25, 2016 18:00   
58. Топология-3, лекция 10
A. A. Aizenberg

April 14, 2016   
59. Combinatorics, topology and algebra of simplicial complexes. Lecture 8
A. A. Aizenberg
A. A. Aizenberg course "Combinatorics, topology and algebra of simplicial complexes", spring semester 2015/2016
April 11, 2016 18:00   
60. Топология-3, лекция 9
A. A. Aizenberg

April 7, 2016   
61. Combinatorics, topology and algebra of simplicial complexes. Lecture 7
A. A. Aizenberg
A. A. Aizenberg course "Combinatorics, topology and algebra of simplicial complexes", spring semester 2015/2016
April 4, 2016 18:00   
62. Топология-3, лекция 8
A. A. Aizenberg

March 31, 2016   
63. Топология-3, лекция 6
A. A. Aizenberg

March 17, 2016   
64. Combinatorics, topology and algebra of simplicial complexes. Lecture 4
A. A. Aizenberg
A. A. Aizenberg course "Combinatorics, topology and algebra of simplicial complexes", spring semester 2015/2016
March 14, 2016 18:00   
65. Топология-3, лекция 5
A. A. Aizenberg

March 10, 2016   
66. Топология-3, лекция 4
A. A. Aizenberg

March 3, 2016   
67. Combinatorics, topology and algebra of simplicial complexes. Lecture 3
A. A. Aizenberg
A. A. Aizenberg course "Combinatorics, topology and algebra of simplicial complexes", spring semester 2015/2016
February 29, 2016   
68. Топология-3, лекция 3
A. A. Aizenberg

February 25, 2016   
69. Combinatorics, topology and algebra of simplicial complexes. Lecture 2
A. A. Aizenberg
A. A. Aizenberg course "Combinatorics, topology and algebra of simplicial complexes", spring semester 2015/2016
February 20, 2016 18:00   
70. Топология-3, лекция 2
A. A. Aizenberg

February 18, 2016   
71. Combinatorics, topology and algebra of simplicial complexes. Lecture 1
A. A. Aizenberg
A. A. Aizenberg course "Combinatorics, topology and algebra of simplicial complexes", spring semester 2015/2016
February 15, 2016 18:00   
72. Топология-3, лекция 1
A. A. Aizenberg

February 11, 2016   
73. Мульти-многогранники и многочлены объема
A. A. Aizenberg
Algebraic topology and its applications. Postnikov memorial seminar
October 20, 2015 16:45
74. Торические оригами многообразия
A. A. Aizenberg
Differential geometry and applications
October 27, 2014 16:45
75. Depth of Stanley–Reisner algebras
A. Aizenberg
Lie groups and invariant theory
December 12, 2012 16:45
76. Moment-angle of the space of non-somple polytopes
V. M. Bukhshtaber, A. A. Aizenberg
Differential geometry and applications
November 14, 2011 16:45

Books in Math-Net.Ru
  1. 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

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