Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Ivan Limonchenko"'
Publikováno v:
Filomat. 34:2329-2356
In this paper we illustrate a tight interplay between homotopy theory and combinatorics within toric topology by explicitly calculating homotopy and combinatorial invariants of toric objects associated with the dodecahedron. In particular, we calcula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82c0157b08964602f7d0815f2422e7dc
https://doi.org/10.2298/fil2007329b
https://doi.org/10.2298/fil2007329b
Autor:
Ivan Limonchenko
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 305:174-196
Найдены условия на мультиградуированные числа Бетти симплициального комплекса $K$, гарантирующие существование высшего произведения М
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73fd2d946289c30395c1d046f8f1a8e2
https://doi.org/10.4213/tm4016
https://doi.org/10.4213/tm4016
Autor:
Ivan Limonchenko
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 305:161-181
We prove that certain conditions on multigraded Betti numbers of a simplicial complex K imply the existence of a higher Massey product in the cohomology of a moment-angle complex $${{\cal Z}_K}$$ , and this product contains a unique element (a strict
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a911e77d181e502c2ebc0cf7bfedff2
https://doi.org/10.1134/s008154381903009x
https://doi.org/10.1134/s008154381903009x
Publikováno v:
Известия Российской академии наук. Серия математическая. 83:3-62
В настоящей работе построена прямая последовательность $P^{0}\subset P^{1}\subset\cdots$ простых многогранников таких, что для всех $2\leq k\leq n$ в кольцах
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::33b3f15cb345aa07b50d10748f43ab3f
https://doi.org/10.4213/im8927
https://doi.org/10.4213/im8927
Publikováno v:
Uspekhi Matematicheskikh Nauk. 74:95-166
В первой части обзора дано современное изложение структуры кольца специальных унитарных бордизмов, включающее как классические геомет
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a4699c21e90620e25e321fb19f0de1c
https://doi.org/10.4213/rm9883
https://doi.org/10.4213/rm9883
In this survey, we discuss two research areas related to Massey's higher operations. The first direction is connected with the cohomology of Lie algebras and the theory of representations. The second main theme is at the intersection of toric topolog
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97d2548a18d1a655b2d45ec63c15e757
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 302:270-278
V. V. Batyrev constructed a family of Calabi–Yau hypersurfaces dual to the first Chern class in toric Fano varieties. Using this construction, we introduce a family of Calabi–Yau manifolds whose SU-bordism classes generate the special unitary bor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1bc76594a8735b3f01a46e35212e7925
https://doi.org/10.1134/s0081543818060135
https://doi.org/10.1134/s0081543818060135
Autor:
Ivan Limonchenko
Publikováno v:
Chinese Annals of Mathematics, Series B. 38:1287-1302
The author constructs a family of manifolds, one for each n ≥ 2, having a nontrivial Massey n-product in their cohomology for any given n. These manifolds turn out to be smooth closed 2-connected manifolds with a compact torus Tm-action called mome
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2225336fcea2c976a2dc1d58123d6792
https://doi.org/10.1007/s11401-017-1037-1
https://doi.org/10.1007/s11401-017-1037-1
Autor:
Ivan Limonchenko
Publikováno v:
Matematicheskie Zametki. 94:373-388
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20e9d5a41af7acb0f03b1a6000a31ecd
https://doi.org/10.4213/mzm9144
https://doi.org/10.4213/mzm9144
Autor:
Ivan Limonchenko
Publikováno v:
Uspekhi Matematicheskikh Nauk. 71:207-208
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae58b6465078a7cdc2722ed3943b23df
https://doi.org/10.4213/rm9712
https://doi.org/10.4213/rm9712