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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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Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data
TL;DR: In this article, a geometric realization of the Khovanov-Lauda-Rouquier algebra with a symmetric Borcherds-Cartan matrix via quiver varieties is presented.
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Equivariant split generation and mirror symmetry of special isogenous tori
TL;DR: In this article, a version of equivariant split generation of Fukaya category was shown to be complete invariant of special isogenous tori with non-split symplectic forms.
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From the function-sheaf dictionary to quasicharacters of $p$-adic tori
Clifton Cunningham,David Roe +1 more
TL;DR: In this paper, the rigid monoidal category of character sheaves on a smooth commutative group scheme over a finite field was considered and the scope of the function-sheaf dictionary was expanded to this setting.
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Invariance of the gerstenhaber algebra structure on tate-hochschild cohomology
TL;DR: In this article, the Gerstenhaber algebra structure on the Tate-Hochschild cohomology of an algebra is preserved under singular equivalences of Morita type with level.
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Equivariant Matrix Factorizations and Hamiltonian reduction
Sergey Arkhipov,Tina Kanstrup +1 more
TL;DR: In this article, the authors established an equivalence of two categories related to the corresponding moment map of a smooth scheme with an action of an algebraic group: coherent coherent sheaves and matrix factorizations.