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

Authors

  • 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.

References

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G. Dobrovolska, V. Nandakumar. D. Yang, Modular representations in type A with a two-row nilpotent central character}; arXiv:1710.08754v3.

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Published

27.08.2025

Issue

Section

Research articles

How to Cite

Dobrovolska, Galyna. “Crossingless Sheaves and Their Classes in the Equivariant $K$-Theory”. Ukrains’kyi Matematychnyi Zhurnal, vol. 76, no. 12, Aug. 2025, pp. 1715–1726, https://doi.org/10.3842/umzh.v76i12.8083.