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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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On geometric realizations of quantum modified algebras and their canonical bases, II
TL;DR: In this paper, the construction of quantum modified algebras in [Li10a] with the functorial construction in [ZH08] was shown to be equivalent.
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On the monoidality of Saito reflection functors
TL;DR: In this paper, the authors extend the definition of the Saito reflection functor of the Khovanov-Lauda-Rouquier algebras to symmetric Kac-Moody algebra case and prove that it defines a monoidal functor.
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Formality of $\mathbb{P}$-objects
Andreas Hochenegger,Andreas Krug +1 more
TL;DR: In this article, it was shown that simple configurations of simple objects have a formal derived endomorphism algebra and that the triangulated category generated by such objects is independent of the ambient triangulation.
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Andersen Filtration and Hard Lefschetz
TL;DR: In this article, the authors define a natural filtration following Andersen and establish a formula expressing the dimensions of the steps in terms of coefficients of Kazhdan-Lusztig polynomials.
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On the regularity of D-modules generated by relative characters
TL;DR: In this paper, the notion of K-admissible D-modules on a homogeneous G-variety Z was introduced, and it was shown that these modules are regular holonomic when K and Z are absolutely spherical.