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Equivariant Sheaves and Functors
Joseph Bernstein,Valery A. Lunts +1 more
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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
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Journal ArticleDOI
DG quotients of DG categories
TL;DR: In this article, Keller introduced a notion of quotient of a differential graded category modulo a full differential graded subcategory which agreed with Verdier's notion of the quotient for a triangulated classifier.
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Homological algebra of homotopy algebras
TL;DR: In this article, the authors propose a homological algebra of homotopy algebras, which is a generalization of homology of homophily of homologies.
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Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
Maxim Kontsevich,Yan Soibelman +1 more
TL;DR: In this article, the authors define a new type of Hall algebras associated with quivers with polynomial potentials, called cohomology of the stack of representations instead of constructible sheaves or functions.
Posted Content
Perverse sheaves on a Loop group and Langlands' duality
TL;DR: In this article, an intrinsic construction of the tensor category of finite dimensional representations of the Langlands dual group of G in terms of the perverse sheaves on the loop group, LG, is given.
Book ChapterDOI
Derived Categories and Their Uses
TL;DR: Derived categories are a formalism for hyperhomology as discussed by the authors, and derive a relation between coherent sheaves on projective space and representations of certain finite-dimensional algebras.