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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.01401 |
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| _version_ | 1866911965271556096 |
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| author | Ohkawa, Ryo |
| author_facet | Ohkawa, Ryo |
| contents | We consider equivariant integrals on flag manifolds of type $A$. Using a computational method inspired by the theory of wall-crossing formulas by Takuro Mochizuki, we re-prove residue formulas for equivariant integrals given by Weber and Zielenkiewicz. As an application, we give the determinantal formula of the Grothendieck polynomial by properly setting $K$ theory classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01401 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Residue formula for flag manifold of type $A$ from wall-crossing Ohkawa, Ryo Algebraic Geometry We consider equivariant integrals on flag manifolds of type $A$. Using a computational method inspired by the theory of wall-crossing formulas by Takuro Mochizuki, we re-prove residue formulas for equivariant integrals given by Weber and Zielenkiewicz. As an application, we give the determinantal formula of the Grothendieck polynomial by properly setting $K$ theory classes. |
| title | Residue formula for flag manifold of type $A$ from wall-crossing |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2309.01401 |