Derived categories of Quot schemes on smooth curves and tautological bundles
We define a categorical action of the shifted quantum loop group of $\mathfrak{sl}_2$ on the derived categories of Quot schemes of finite length quotient sheaves on a smooth projective curve. As an application, we obtain a semi-orthogonal decomposition of the derived categories of Quot schemes, of r...
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| creator | Marian, Alina Neguţ, Andrei |
| description | We define a categorical action of the shifted quantum loop group of
$\mathfrak{sl}_2$ on the derived categories of Quot schemes of finite length
quotient sheaves on a smooth projective curve. As an application, we obtain a
semi-orthogonal decomposition of the derived categories of Quot schemes, of
representation theoretic origin. We use this decomposition to calculate the
cohomology of interesting tautological vector bundles over the Quot scheme. |
| doi_str_mv | 10.48550/arxiv.2411.08695 |
| format | Article |
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$\mathfrak{sl}_2$ on the derived categories of Quot schemes of finite length
quotient sheaves on a smooth projective curve. As an application, we obtain a
semi-orthogonal decomposition of the derived categories of Quot schemes, of
representation theoretic origin. We use this decomposition to calculate the
cohomology of interesting tautological vector bundles over the Quot scheme.</description><identifier>DOI: 10.48550/arxiv.2411.08695</identifier><language>eng</language><subject>Mathematics - Algebraic Geometry ; Mathematics - Representation Theory</subject><creationdate>2024-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2411.08695$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2411.08695$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Marian, Alina</creatorcontrib><creatorcontrib>Neguţ, Andrei</creatorcontrib><title>Derived categories of Quot schemes on smooth curves and tautological bundles</title><description>We define a categorical action of the shifted quantum loop group of
$\mathfrak{sl}_2$ on the derived categories of Quot schemes of finite length
quotient sheaves on a smooth projective curve. As an application, we obtain a
semi-orthogonal decomposition of the derived categories of Quot schemes, of
representation theoretic origin. We use this decomposition to calculate the
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$\mathfrak{sl}_2$ on the derived categories of Quot schemes of finite length
quotient sheaves on a smooth projective curve. As an application, we obtain a
semi-orthogonal decomposition of the derived categories of Quot schemes, of
representation theoretic origin. We use this decomposition to calculate the
cohomology of interesting tautological vector bundles over the Quot scheme.</abstract><doi>10.48550/arxiv.2411.08695</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry Mathematics - Representation Theory |
| title | Derived categories of Quot schemes on smooth curves and tautological bundles |
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