The parabolic Verlinde formula: iterated residues and wall-crossings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866913489004527616 |
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| author | Szenes, Andras Trapeznikova, Olga |
| author_facet | Szenes, Andras Trapeznikova, Olga |
| contents | We give a new proof for the parabolic Verlinde formula in all ranks based on a comparison of wall-crossings in Geometric Invariant Theory and certain iterated residue functionals. On the way, we develop a tautological variant of Hecke correspondences, calculate the Hilbert polynomials of the moduli spaces, and present a new, transparent, local approach to the rho-shift problem of the theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_15149 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The parabolic Verlinde formula: iterated residues and wall-crossings Szenes, Andras Trapeznikova, Olga Algebraic Geometry 14D20 We give a new proof for the parabolic Verlinde formula in all ranks based on a comparison of wall-crossings in Geometric Invariant Theory and certain iterated residue functionals. On the way, we develop a tautological variant of Hecke correspondences, calculate the Hilbert polynomials of the moduli spaces, and present a new, transparent, local approach to the rho-shift problem of the theory. |
| title | The parabolic Verlinde formula: iterated residues and wall-crossings |
| topic | Algebraic Geometry 14D20 |
| url | https://arxiv.org/abs/2112.15149 |