Decompositions of moduli spaces of vector bundles and graph potentials
We propose a conjectural semiorthogonal decomposition for the derived category of the moduli space of stable rank 2 bundles with fixed determinant of odd degree, independently formulated by Narasimhan. We discuss some evidence for and furthermore propose semiorthogonal decompositions with additional...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2023-01-01
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| Series: | Forum of Mathematics, Sigma |
| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423000142/type/journal_article |
| _version_ | 1811156235866603520 |
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| author | Pieter Belmans Sergey Galkin Swarnava Mukhopadhyay |
| author_facet | Pieter Belmans Sergey Galkin Swarnava Mukhopadhyay |
| author_sort | Pieter Belmans |
| collection | DOAJ |
| description | We propose a conjectural semiorthogonal decomposition for the derived category of the moduli space of stable rank 2 bundles with fixed determinant of odd degree, independently formulated by Narasimhan. We discuss some evidence for and furthermore propose semiorthogonal decompositions with additional structure. |
| first_indexed | 2024-04-10T04:48:14Z |
| format | Article |
| id | doaj.art-6387f66514214a14b253541db24bc6e5 |
| institution | Directory Open Access Journal |
| issn | 2050-5094 |
| language | English |
| last_indexed | 2024-04-10T04:48:14Z |
| publishDate | 2023-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj.art-6387f66514214a14b253541db24bc6e52023-03-09T12:34:30ZengCambridge University PressForum of Mathematics, Sigma2050-50942023-01-011110.1017/fms.2023.14Decompositions of moduli spaces of vector bundles and graph potentialsPieter Belmans0https://orcid.org/0000-0002-0140-2824Sergey Galkin1https://orcid.org/0000-0003-3175-2670Swarnava Mukhopadhyay2Department of Mathematics, Université de Luxembourg, 6, avenue de la Fonte, L-4364 Esch-sur-Alzette, Luxembourg; E-mail:PUC-Rio, Departamento de Matemática, Rua Marquês de São Vicente 225, Gávea, Rio de Janeiro; E-mail:School of Mathematics, Tata Institute of Fundamental Research, 1 Homi Bhabha Road, Navy Nagar, Colaba, Mumbai 400005; E-mail:We propose a conjectural semiorthogonal decomposition for the derived category of the moduli space of stable rank 2 bundles with fixed determinant of odd degree, independently formulated by Narasimhan. We discuss some evidence for and furthermore propose semiorthogonal decompositions with additional structure.https://www.cambridge.org/core/product/identifier/S2050509423000142/type/journal_article14J3318G8014D2014J45 |
| spellingShingle | Pieter Belmans Sergey Galkin Swarnava Mukhopadhyay Decompositions of moduli spaces of vector bundles and graph potentials Forum of Mathematics, Sigma 14J33 18G80 14D20 14J45 |
| title | Decompositions of moduli spaces of vector bundles and graph potentials |
| title_full | Decompositions of moduli spaces of vector bundles and graph potentials |
| title_fullStr | Decompositions of moduli spaces of vector bundles and graph potentials |
| title_full_unstemmed | Decompositions of moduli spaces of vector bundles and graph potentials |
| title_short | Decompositions of moduli spaces of vector bundles and graph potentials |
| title_sort | decompositions of moduli spaces of vector bundles and graph potentials |
| topic | 14J33 18G80 14D20 14J45 |
| url | https://www.cambridge.org/core/product/identifier/S2050509423000142/type/journal_article |
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