Harder-Narasimhan Filtration on Moment Map for Quiver Representations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918201358548992 |
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| author | Yau, Ching Yan Timothy |
| author_facet | Yau, Ching Yan Timothy |
| contents | For a quiver without loops with many edges, we generalize the methods of Kac, Crawley-Boevey and Reineke and compute the dimension of Harder-Narasimhan strata of the zero set of the moment map. We notice a link between this dimension and the terms in the Kac's polynomial, which is given by the equivariant cohomology of this zero set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02449 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Harder-Narasimhan Filtration on Moment Map for Quiver Representations Yau, Ching Yan Timothy Representation Theory Algebraic Geometry For a quiver without loops with many edges, we generalize the methods of Kac, Crawley-Boevey and Reineke and compute the dimension of Harder-Narasimhan strata of the zero set of the moment map. We notice a link between this dimension and the terms in the Kac's polynomial, which is given by the equivariant cohomology of this zero set. |
| title | Harder-Narasimhan Filtration on Moment Map for Quiver Representations |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2511.02449 |