Zobrazeno 1 - 10
of 69
pro vyhledávání: '"Zhao, Gufang"'
We prove a degeneration formula for Donaldson-Thomas theory on Calabi-Yau 4-folds, and apply it to compute zero dimensional invariants on $\mathbb{C}^4$ and on any local curve.
Comment: 65 pages
Comment: 65 pages
Externí odkaz:
http://arxiv.org/abs/2402.16103
Autor:
Zhao, Gufang, Zhong, Changlong
Associated to any root datum, there is an elliptic affine Hecke algebra defined by Ginzburg, Kapranov, and Vasserot. In this study, we establish a Fourier-Mukai functor from the representation category of the elliptic affine Hecke algebra to the corr
Externí odkaz:
http://arxiv.org/abs/2310.13460
This paper explores a construction of the elliptic classes of the Springer resolution using the periodic Hecke module. The module is established by employing the Poincar\'e line bundle over the product of the abelian variety of elliptic cohomology an
Externí odkaz:
http://arxiv.org/abs/2309.09140
Autor:
Cao, Yalong, Zhao, Gufang
This paper is concerned with a non-compact GIT quotient of a vector space, in the presence of an abelian group action and an equivariant regular function (potential) on the quotient. We define virtual counts of quasimaps from prestable curves to the
Externí odkaz:
http://arxiv.org/abs/2306.01302
Autor:
Yang, Yaping, Zhao, Gufang
In this paper, we study a family of new quantum groups labelled by a prime number $p$ and a natural number $n$ constructed using the Morava $E$-theories. We define the quantum Frobenius homomorphisms among these quantum groups. This is a geometric ge
Externí odkaz:
http://arxiv.org/abs/2105.14681
We study the Drinfeld double of the (equivariant spherical) Cohomological Hall algebra in the sense of Kontsevich and Soibelman, associated to a smooth toric Calabi-Yau 3-fold $X$. By general reasons, the COHA acts on the cohomology of the moduli spa
Externí odkaz:
http://arxiv.org/abs/2007.13365
Autor:
Nandakumar, Vinoth, Zhao, Gufang
Bernstein, Frenkel and Khovanov have constructed a categorification of tensor products of the standard representation of $\mathfrak{sl}_2$ using singular blocks of category $\mathcal{O}$ for $\mathfrak{sl}_n$. In earlier work, we construct a positive
Externí odkaz:
http://arxiv.org/abs/2005.08248
Autor:
Yang, Yaping, Zhao, Gufang
This paper aims at a geometric realization of the Yangian of non-simply laced type in terms of quiver with potentials. For every quiver with symmetrizer, there is an extended quiver with superpotential, whose Jacobian algebra is the generalized prepr
Externí odkaz:
http://arxiv.org/abs/1911.02689
We compare the $K$-theory stable bases of the Springer resolution associated to different affine Weyl alcoves. We prove that (up to relabelling) the change of alcoves operators are given by the Demazure-Lusztig operators in the affine Hecke algebra.
Externí odkaz:
http://arxiv.org/abs/1904.03769
Publikováno v:
Commun. Math. Phys. (2019)
We define an action of the (double of) Cohomological Hall algebra of Kontsevich and Soibelman on the cohomology of the moduli space of spiked instantons of Nekrasov. We identify this action with the one of the affine Yangian of $\mathfrak{gl}(1)$. Ba
Externí odkaz:
http://arxiv.org/abs/1810.10402