Crossingless sheaves and their classes in the  equivariant $K$-theory

Galyna Dobrovolska

doi:10.3842/umzh.v76i12.8083

Galyna Dobrovolska Department of Mathematics, Ariel University, Israel

DOI: https://doi.org/10.3842/umzh.v76i12.8083

Keywords: exotic t-structures, affine tangles

Abstract

UDC 517.9

We introduce crossingless sheaves in certain equivariant derived categories, which are analogous to the Bezrukavnikov–Mirkovic exotic sheaves for two-block nilpotents. The classes of crossingless sheaves are computed in the equivariant $K$-theory of Cautis–Kamnitzer varieties.

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