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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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Equivariant Hirzebruch class for singular varieties
TL;DR: In this paper, an equivariant version of the Hirzebruch class for singular varieties is developed for simplicial toric varieties, where the group acting is a torus and the localization theorem of Atiyah-Bott and Berline-Vergne is applied.
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Noncommutative localization in noncommutative geometry
TL;DR: In this paper, the basic localization toolbox for the geometric study of geometrical spaces locally described by noncommutative rings and their categories of modules is collected and motivated for geometric applications.
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Witt groups of sheaves on topological spaces
TL;DR: In this paper, the constructible Witt groups of triangulated categories of sheaves (of modules over a ring R in which 2 is invertible) equipped with Poincare-Verdier duality were investigated.