Crossingless sheaves and their classes in the equivariant <mml:math><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:math>-theory

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 <mml:math> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> </mml:math>-theory of Cautis–Kamnitzer varieties.

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Publication Details

Journal
Ukrains’kyi Matematychnyi Zhurnal
Published
2024-12-28
DOI
https://doi.org/10.3842/umzh.v76i12.8083
Primary Topic
Algebraic structures and combinatorial models
Type
article
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article

Crossingless sheaves and their classes in the equivariant <mml:math><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:math>-theory

Galyna Dobrovolska
Ukrains’kyi Matematychnyi Zhurnal
Algebraic structures and combinatorial models
article

Crossingless sheaves and their classes in the equivariant <mml:math><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:math>-theory

Galyna Dobrovolska
article en

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 <mml:math> <mml:mrow> <mml:mi>K</mml:mi> </mml:mrow> </mml:math>-theory of Cautis–Kamnitzer varieties.

Ukrains’kyi Matematychnyi ZhurnalVol. 76(12)
Ariel University (IL)
Openalex Percentile: Top 62%
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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Crossingless sheaves and their classes in the equivariant <mml:math><mml:mrow><mml:mi>K</mml:mi></mml:mrow></mml:math>-theory — Galyna Dobrovolska · Ukrains’kyi Matematychnyi Zhurnal (2024) | TGRS Research Map | TGRS