Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Mikhail Kapranov"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
Constructible sheaves of abelian groups on a stratified space can be equivalently described in terms of representations of the exit-path category. In this work, we provide a similar presentation of the abelian category of perverse sheaves on a strati
Externí odkaz:
https://doaj.org/article/1759d0843f564faaa922b0707316e669
Autor:
Mikhail Kapranov
Publikováno v:
Japanese Journal of Mathematics. 16:49-80
Infinite-dimensional Lie algebras (such as Kac-Moody, Virasoro etc.) govern, in many ways, various moduli spaces associated to algebraic curves. To pass from curves to higher-dimensional varieties, it is necessary to work in the setup of derived geom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc3f599bb53b916687d8dd1935054972
https://doi.org/10.1007/s11537-020-1921-4
https://doi.org/10.1007/s11537-020-1921-4
Publikováno v:
Trends in Mathematics ISBN: 9783030820060
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67a3c6573ac40c774dfc660be9de62e1
https://doi.org/10.1007/978-3-030-82007-7_4
https://doi.org/10.1007/978-3-030-82007-7_4
Publikováno v:
Advances in Mathematics
We provide a generalization to the higher dimensional case of the construction of the current algebra g((z)), of its Kac-Moody extension and of the classical results relating them to the theory of G-bundles over a curve. For a reductive algebraic gro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0c16f252b8bd8742ae9125fcb944ce9
https://doi.org/10.1016/j.aim.2019.01.040
https://doi.org/10.1016/j.aim.2019.01.040
Autor:
Mikhail Kapranov
This is a chapter for a planned collective volume entitled "New spaces in mathematics and physics" (M. Anel, G. Catren Eds.). The first part contains a short formal exposition of supergeometry as it is understood by mathematicians. The second part di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3556ea367217617d8c994c5f90d0de85
https://doi.org/10.1017/9781108854399.005
https://doi.org/10.1017/9781108854399.005
Autor:
Mikhail Kapranov, Robert Penner
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783030439958
Lecture Notes in Mathematics
Lecture Notes in Mathematics
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c40064949519fb5b383f4ed3e2df9eab
https://doi.org/10.1007/978-3-030-43996-5
https://doi.org/10.1007/978-3-030-43996-5
Autor:
Mikhail Kapranov, Vadim Schechtman
Publikováno v:
Advances in Mathematics. 398:108200
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd7dfbb85402f44258235620c62181f7
https://doi.org/10.1016/j.aim.2022.108200
https://doi.org/10.1016/j.aim.2022.108200
Publikováno v:
Selecta Mathematica. 24:85-143
Perverse schobers are conjectural categorical analogs of perverse sheaves. We show that such structures appear naturally in Homological Minimal Model Program which studies the effect of birational transformations such as flops, on the coherent derive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b465b75cb083143afa7f3c0dd1f962a
https://doi.org/10.1007/s00029-018-0395-1
https://doi.org/10.1007/s00029-018-0395-1
Autor:
Mikhail Kapranov, Vadim Schechtman
Let H be an arrangement of hyperplanes in R^n and Perv(C^n,H) be the category of perverse sheaves on C^n smooth with respect to the stratification given by complexified flats of H. We give a description of Perv(C^n,H) in terms of "matrix diagrams", i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04de34bce6e27df737595185099c1abe
http://arxiv.org/abs/1910.01677
http://arxiv.org/abs/1910.01677
Autor:
Mikhail Kapranov, Vadim Schechtman
Motivated by applications to perverse sheaves, we study combinatorics of two cell decompositions of the symmetric product of the complex line, refining the complex stratification by multiplicities. Contingency matrices, appearing in classical statist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b5fd6731a23e25f28025a6a1f065474
http://arxiv.org/abs/1909.09793
http://arxiv.org/abs/1909.09793