<p>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 <i>K</i>-theory of Cautis–Kamnitzer varieties.</p>

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Crossingless Sheaves and Their Classes in the Equivariant K-Theory

  • Galyna Dobrovolska

摘要

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.