Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Kononov, Yakov"'
We initiate a systematic study on the cohomology rings of the moduli stack $\mathfrak{M}_{d,\chi}$ of semistable one-dimensional sheaves on the projective plane. We introduce a set of tautological relations of geometric origin, including Mumford-type
Externí odkaz:
http://arxiv.org/abs/2403.06277
Publikováno v:
Advances in Mathematics Volume 433, 15 November 2023, 109294
We explore connections between three structures associated with the cohomology of the moduli of 1-dimensional stable sheaves on $\mathbb{P}^2$: perverse filtrations, tautological classes, and refined BPS invariants for local $\mathbb{P}^2$. We formul
Externí odkaz:
http://arxiv.org/abs/2211.06991
We study generalized Deligne categories and related tensor envelopes for the universal two-dimensional cobordism theories described by rational functions, recently defined by Sazdanovic and one of the authors.
Comment: 60 pages
Comment: 60 pages
Externí odkaz:
http://arxiv.org/abs/2011.14758
Autor:
Kononov, Yakov, Smirnov, Andrey
Consider a pair of symplectic varieties dual with respect to 3D-mirror symmetry. The K-theoretic limit of the elliptic duality interface is an equivariant K-theory class of the product. We show that this class provides correspondences in the product
Externí odkaz:
http://arxiv.org/abs/2008.06309
Autor:
Kononov, Yakov, Smirnov, Andrey
Let $X$ be a symplectic variety equipped with an action of a torus $A$. Let $\nu \subset A$ be a finite cyclic subgroup. We show that K-theoretic stable envelope of subvarieties $X^{\nu}\subset X$ can be obtained via various limits of the elliptic st
Externí odkaz:
http://arxiv.org/abs/2004.07862
Publikováno v:
In Advances in Mathematics 15 November 2023 433
It was shown in \cite{DVV} for $2d$ topological Conformal field theory (TCFT) \cite{EY,W} and more recently in \cite{BSZ}-\cite{BB2} for the non-critical String theory \cite{P}-\cite{BAlZ} that a number of models of these two types can be exactly sol
Externí odkaz:
http://arxiv.org/abs/1510.06970
Autor:
Kononov, Yakov1,2 (AUTHOR), Smirnov, Andrey3,4 (AUTHOR) asmirnov@email.unc.edu
Publikováno v:
Letters in Mathematical Physics. Aug2022, Vol. 112 Issue 4, p1-25. 25p.
Autor:
Kononov, Yakov, Smirnov, Andrey
Publikováno v:
IMRN: International Mathematics Research Notices; 7/15/2023, Vol. 2023 Issue 15, p13290-13331, 42p
Publikováno v:
Selecta Mathematica. 28
We study generalized Deligne categories and related tensor envelopes for the universal two-dimensional cobordism theories described by rational functions, recently defined by Sazdanovic and one of the authors.
60 pages
60 pages