scispace - formally typeset
Open AccessBook

Equivariant Sheaves and Functors

Reads0
Chats0
TLDR
In this paper, the DG-modules and equivariant cohomology of toric varieties have been studied, and the derived category D G (X) and functors have been defined.
Abstract
Derived category D G (X) and functors.- DG-modules and equivariant cohomology.- Equivariant cohomology of toric varieties.

read more

Citations
More filters
Posted Content

Three perspectives on categorical symmetric Howe duality

TL;DR: The categorical symmetric Howe duality introduced by Khovanov, Lauda, Sussan and Yonezawa has geometric and representation-theoretic interpretations, corresponding to certain perverse sheaves on spaces of quiver representations as discussed by the authors.

Graded Hecke algebras and equivariant constructible sheaves on the nilpotent cone

TL;DR: In this article it was shown that every geometric graded Hecke algebra is naturally isomorphic to the endomorphism algebra of a certain G × C × -equivariant semisimple complex of sheaves on the nilpotent cone g N .
Posted Content

Descent of coherent sheaves and complexes to geometric invariant theory quotients

TL;DR: In this article, the authors give necessary and sufficient conditions for a bounded-above complex of coherent sheaves to descend to a good quotient of a reductive algebraic group.
Journal ArticleDOI

The equivariant Atiyah class

TL;DR: In this article, it was shown that the Atiyah class of a simple perfect complex on a smooth projective family is equivariant in the sense that it is reductive.

Geometric realisations of the unipotent enveloping algebra of a quiver

TL;DR: In this paper , Davison and Schlegel Mejia showed that the top cohomological Hall algebra of the strictly seminilpotent stack is isomorphic to the positive part of the enveloping algebra of generalised Kac-Moody algebra associated with the quiver.
Related Papers (5)