Equivariant Khovanov homotopy types
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914661548425216 |
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| author | Paliga, Jakub |
| author_facet | Paliga, Jakub |
| contents | We investigate group actions on homotopy coherent diagrams. This is used to prove an equivalence between realizations of equivariant cubical flow categories and external actions on Burnside functors. In particular, the results imply that the equivariant Khovanov homotopy types defined by Borodzik, Politarczyk, Silvero (arXiv:1807.08795) and Stoffregen, Zhang (arXiv:1810.04769) are equivariantly stably homotopy equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_18073 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivariant Khovanov homotopy types Paliga, Jakub Geometric Topology We investigate group actions on homotopy coherent diagrams. This is used to prove an equivalence between realizations of equivariant cubical flow categories and external actions on Burnside functors. In particular, the results imply that the equivariant Khovanov homotopy types defined by Borodzik, Politarczyk, Silvero (arXiv:1807.08795) and Stoffregen, Zhang (arXiv:1810.04769) are equivariantly stably homotopy equivalent. |
| title | Equivariant Khovanov homotopy types |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2401.18073 |