Localization in Khovanov homology
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866910538079928320 |
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| author | Stoffregen, Matthew Zhang, Melissa |
| author_facet | Stoffregen, Matthew Zhang, Melissa |
| contents | We construct equivariant Khovanov spectra for periodic links, using the Burnside functor construction introduced by Lawson, Lipshitz, and Sarkar. By identifying the fixed-point sets, we obtain rank inequalities for odd and even Khovanov homologies, and their annular filtrations, for prime-periodic links in $S^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1810_04769 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Localization in Khovanov homology Stoffregen, Matthew Zhang, Melissa Geometric Topology Algebraic Topology 57K18, 57S17, 55P91, 55P42 We construct equivariant Khovanov spectra for periodic links, using the Burnside functor construction introduced by Lawson, Lipshitz, and Sarkar. By identifying the fixed-point sets, we obtain rank inequalities for odd and even Khovanov homologies, and their annular filtrations, for prime-periodic links in $S^3$. |
| title | Localization in Khovanov homology |
| topic | Geometric Topology Algebraic Topology 57K18, 57S17, 55P91, 55P42 |
| url | https://arxiv.org/abs/1810.04769 |