Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations
We show that equivariant tilting modules over equivariant algebras induce equivalences of derived factorization categories. As an application, we show that the derived category of a noncommutative resolution of a linear section of a Pfaffian variety is equivalent to the derived factorization categor...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2021 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211294 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations. Yuki Hirano. SIGMA 17 (2021), 055, 43 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | We show that equivariant tilting modules over equivariant algebras induce equivalences of derived factorization categories. As an application, we show that the derived category of a noncommutative resolution of a linear section of a Pfaffian variety is equivalent to the derived factorization category of a noncommutative gauged Landau-Ginzburg model (Λ, χ, 𝓌)ᴳᵐ, where Λ is a noncommutative resolution of the quotient singularity 𝑊/GSp(𝑄) arising from a certain representation 𝑊 of the symplectic similitude group GSp(𝑄) of a symplectic vector space 𝑄.
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| ISSN: | 1815-0659 |