Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Vasserot, Eric"'
Autor:
Schiffmann, Olivier, Vasserot, Eric
We construct an isomorphism between the preprojective cohomological Hall algebra of an arbitrary quiver and a positive half of the corresponding Maulik-Okounkov Yangian, which intertwines the respective actions on the cohomology of the Nakajima quive
Externí odkaz:
http://arxiv.org/abs/2312.15803
We compute the cohomological Hall algebra of zero-dimensional sheaves on an arbitrary smooth quasi-projective surface $S$ with pure cohomology, deriving an explicit presentation by generators and relations. When $S$ has trivial canonical bundle, this
Externí odkaz:
http://arxiv.org/abs/2311.13415
Autor:
Varagnolo, Michela, Vasserot, Eric
We realize the quantum loop groups and shifted quantum loop groups of arbitrary types, possibly non symmetric, using critical K-theory. This generalizes the Nakajima construction of symmetric quantum loop groups via quiver varieties to non symmetric
Externí odkaz:
http://arxiv.org/abs/2308.01809
Autor:
Varagnolo, Michela, Vasserot, Eric
We realize geometrically a family of simple modules of (shifted) quantum loop groups including Kirillov-Reshetikhin and prefundamental representations. To do this, we introduce a new family of algebras attached to quivers with potentials, using criti
Externí odkaz:
http://arxiv.org/abs/2302.01418
We propose a new geometric model for the center of the small quantum group using the cohomology of certain affine Springer fibers. More precisely, we establish an isomorphism between the equivariant cohomology of affine Spaltenstein fibers for a spli
Externí odkaz:
http://arxiv.org/abs/2205.05951
Autor:
Varagnolo, Michela, Vasserot, Eric
We first prove that the K-theoretic Hall algebra of a preprojective algebra of affine type is isomorphic to the positive half of a quantum toroidal quantum group. An essential step consists to deform the K-theoretic Hall algebra so that the deformati
Externí odkaz:
http://arxiv.org/abs/2011.01203
We construct an equivalence of graded Abelian categories from a category of representations of the quiver-Hecke algebra of type $A_1^{(1)}$ to the category of equivariant perverse coherent sheaves on the nilpotent cone of type $A$. We prove that this
Externí odkaz:
http://arxiv.org/abs/1912.03325
Autor:
Kapranov, Mikhail, Vasserot, Eric
For a smooth quasi-projective surface S over complex numbers we consider the Borel-Moore homology of the stack of coherent sheaves on S with compact support and make this space into an associative algebra by a version of the Hall multiplication. This
Externí odkaz:
http://arxiv.org/abs/1901.07641
Autor:
Schiffmann, Olivier, Vasserot, Eric
We consider the cohomological Hall algebra Y of a Lagrangian substack of the moduli stack of representations of the preprojective algebra of an arbitrary quiver Q, and its actions on the cohomology of quiver varieties. We conjecture that Y is equal,
Externí odkaz:
http://arxiv.org/abs/1705.07491
Autor:
Schiffmann, Olivier, Vasserot, Eric
We study the cohomological Hall algebra Y of a lagrangian substack of the moduli stack of representations of the preprojective algebra of an arbitrary quiver Q, and their actions on the cohomology of Nakajima quiver varieties. We prove that Y is pure
Externí odkaz:
http://arxiv.org/abs/1705.07488