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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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Canonical bases and affine Hecke algebras of type B
Michela Varagnolo,Eric Vasserot +1 more
TL;DR: This paper proved a conjecture of Kashiwara and Miemietz on canonical bases and branching rules of affine Hecke algebras of type D. The proof is similar to the proof of the type B case.
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The hypertoric intersection cohomology ring
Tom Braden,Nicholas Proudfoot +1 more
TL;DR: In this paper, the authors presented a functorial computation of the equivariant intersection cohomology of a hypertoric variety, and endow it with a natural ring structure.
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Andersen filtration and hard lefschetz
TL;DR: In this paper, a natural filtration of homomorphisms from a Verma module to an indecomposable tilting module of the BGG-category is defined.
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Hyperbolic localization of intersection cohomology
TL;DR: For a normal variety X defined over an algebraically closed field with an action of the multiplicative group G_m, this article showed that the hyperbolic localization of the intersection cohomology sheaf is a direct sum of intersection cohomeology sheaves.
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Orbifold Cohomology as Periodic Cyclic Homology
TL;DR: In this article, it was shown that for a finite group G acting on a smooth complex variety X, the same procedure applied to G-equivariant sheaves gives the orbifold cohomology of X/G.