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Equivariant Sheaves and Functors

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TLDR
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.

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A Diagrammatic Categorification of a Clifford Algebra

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Smith theory and geometric Hecke algebras

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Notes on affine canonical and monomial bases

TL;DR: In this paper, the affine canonical basis and the monomial basis constructed in [LXZ] in Lusztig's geometric setting were investigated and it was shown that the transition matrix between the two bases is upper triangular with 1's in the diagonal and coefficients in the upper diagonal entries in N[v, v^{-1}] for affine Canonical bases.
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Localizations for construction of quantum coset spaces

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Variations on Themes of Kostant

TL;DR: In this paper, a graded algebra isomorphism of complex semisimple Lie algebras with trivial centers was established, where Xλ is an arbitrary spherical Schubert variety in the loop Grassmannian for LG, and Iλ is the centralizer of a principal nilpotent.
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