Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2016
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| _version_ | 1866909306946846720 |
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| author | Chen, William Scaduto, Christopher |
| author_facet | Chen, William Scaduto, Christopher |
| contents | In the description of the instanton Floer homology of a surface times a circle due to Muñoz, we compute the nilpotency degree of the endomorphism $u^2-64$. We then compute the framed instanton homology of a surface times a circle with non-trivial bundle, which is closely related to the kernel of $u^2-64$. We discuss these results in the context of the moduli space of stable rank two holomorphic bundles with fixed odd determinant over a Riemann surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1612_08690 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle Chen, William Scaduto, Christopher Geometric Topology 57M27 In the description of the instanton Floer homology of a surface times a circle due to Muñoz, we compute the nilpotency degree of the endomorphism $u^2-64$. We then compute the framed instanton homology of a surface times a circle with non-trivial bundle, which is closely related to the kernel of $u^2-64$. We discuss these results in the context of the moduli space of stable rank two holomorphic bundles with fixed odd determinant over a Riemann surface. |
| title | Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle |
| topic | Geometric Topology 57M27 |
| url | https://arxiv.org/abs/1612.08690 |