Crossingless sheaves and their classes in the equivariant $K$-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  $K$-theory of...
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| Дата: | 2025 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2025
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8083 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512890702790656 |
|---|---|
| author | Dobrovolska, Galyna Dobrovolska, Galyna |
| author_facet | Dobrovolska, Galyna Dobrovolska, Galyna |
| author_sort | Dobrovolska, Galyna |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-08-27T10:16:17Z |
| description | 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. |
| doi_str_mv | 10.3842/umzh.v76i12.8083 |
| first_indexed | 2026-03-24T03:35:59Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8083 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:35:59Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-80832025-08-27T10:16:17Z Crossingless sheaves and their classes in the equivariant $K$-theory Crossingless sheaves and their classes in the equivariant $K$-theory Dobrovolska, Galyna Dobrovolska, Galyna exotic t-structures affine tangles 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. УДК 517.9 Безперехресні жмутки та їх класи в еквіваріантній $K$-теорії  Введено поняття жмутків без перехрещень у деяких еквіваріантних похідних категоріях, що аналогічні екзотичним жмуткам Безрукавнікова–Мірковича для двоблокових нільпотентів. Розраховано класи жмутків без перехрещень в еквіваріантній $K$-теорії многовидів Каутіса–Камніцера. Institute of Mathematics, NAS of Ukraine 2025-08-27 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8083 10.3842/umzh.v76i12.8083 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 12 (2024); 1715–1726 Український математичний журнал; Том 76 № 12 (2024); 1715–1726 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8083/10286 Copyright (c) 2024 Galyna Dobrovolska |
| spellingShingle | Dobrovolska, Galyna Dobrovolska, Galyna Crossingless sheaves and their classes in the equivariant $K$-theory |
| title | Crossingless sheaves and their classes in the equivariant $K$-theory |
| title_alt | Crossingless sheaves and their classes in the equivariant $K$-theory |
| title_full | Crossingless sheaves and their classes in the equivariant $K$-theory |
| title_fullStr | Crossingless sheaves and their classes in the equivariant $K$-theory |
| title_full_unstemmed | Crossingless sheaves and their classes in the equivariant $K$-theory |
| title_short | Crossingless sheaves and their classes in the equivariant $K$-theory |
| title_sort | crossingless sheaves and their classes in the equivariant $k$-theory |
| topic_facet | exotic t-structures affine tangles |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8083 |
| work_keys_str_mv | AT dobrovolskagalyna crossinglesssheavesandtheirclassesintheequivariantktheory AT dobrovolskagalyna crossinglesssheavesandtheirclassesintheequivariantktheory |