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Ayzenberg, Anton Andreyevich
Statistics Math-Net.Ru
in MathSciNet:
10 (10)
in zbMATH:
13 (13)
in Web of Science:
13 (13)
in Scopus:
17 (17)
Candidate of physico-mathematical sciences (2012)
Speciality:
01.01.04 (Geometry and topology)
E-mail:
email
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:
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)
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
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 ;
1
[x]
10.
Anton Ayzenberg, Victor Buchstaber, “Manifolds of isospectral matrices and Hessenberg varieties”, Int. Math. Res. Not. IMRN , 2021 :21 (2021), 16669–16690 ;
9
[x]
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.
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
4
[x]
15.
Anton Ayzenberg, “Topological model for $h''$ vectors of simplicial manifolds”, Bol. Soc. Mat. Mex., III. Ser. , 23 (2017), 413–421
3
[x]
2016
16.
Anton Ayzenberg, “Locally standard torus actions and $h'$ -numbers of simplicial posets”, J. Math. Soc. Japan , 68 :4 (2016), 1725–1745
4
[x]
17.
Anton Ayzenberg, Mikiya Masuda, “Volume polynomials and duality algebras of multi-fans”, Arnold Math. J. , 2 :3 (2016), 329–381
9
[x]
18.
Anton Ayzenberg, “Homology cycles in manifolds with locally standard torus actions”, Homology Homotopy Appl. , 18 :1 (2016), 1–23
4
[x]
19.
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
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
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
Organisations