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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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Bimodules in bordered Heegaard Floer homology
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Legendrian knots and constructible sheaves
TL;DR: In this paper, the authors studied the Fukaya category of Lagrangian branes with singular support controlled by the front projection of a Legendrian knot and showed that the resulting category is invariant under Legendrian isotopies and conjecture it is equivalent to the representation category of the Chekanov-Eliashberg differential graded algebra.
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Moduli of ADHM sheaves and the local Donaldson–Thomas theory
TL;DR: In this paper, the authors studied the geometry of moduli spaces of representations of the same quiver with relations in the abelian category of coherent sheaves on a smooth complex projective curve X and proved that this moduli space is virtually smooth and related by relative Beilinson spectral sequence to the curve counting construction via stable pairs of Pandharipande and Thomas.
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Hodge genera of algebraic varieties I
TL;DR: In this article, the behavior of Hodge-theoretic genera and their associated characteristic classes under proper morphisms of complex algebraic varieties is studied. But the focus is on the singularities of complex maps.
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Canonical bases and Khovanov-Lauda algebras
Michela Varagnolo,E. Vasserot +1 more
TL;DR: In this article, the authors prove some recent conjectures of Khovanov-Lauda concerning the categorification of one-half of the quantum group associated with a simply laced Cartan datum.