The cohomology of the Quot scheme on a smooth curve as a Yangian representation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866912979044270080 |
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| author | Marian, Alina Neguţ, Andrei |
| author_facet | Marian, Alina Neguţ, Andrei |
| contents | We describe the action of the shifted Yangian of sl_2 on the cohomology groups of the Quot schemes of 0-dimensional quotients on a smooth projective curve. We introduce a commuting family of r operators in the positive half of the Yangian, whose action yields a natural basis of the Quot cohomology. These commuting operators further lead to formulas for the operators of multiplication by the Segre classes of the universal bundle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_13671 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The cohomology of the Quot scheme on a smooth curve as a Yangian representation Marian, Alina Neguţ, Andrei Algebraic Geometry Representation Theory We describe the action of the shifted Yangian of sl_2 on the cohomology groups of the Quot schemes of 0-dimensional quotients on a smooth projective curve. We introduce a commuting family of r operators in the positive half of the Yangian, whose action yields a natural basis of the Quot cohomology. These commuting operators further lead to formulas for the operators of multiplication by the Segre classes of the universal bundle. |
| title | The cohomology of the Quot scheme on a smooth curve as a Yangian representation |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2307.13671 |