Swan-Tate cohomology of meromorphic circle actions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917795995844608 |
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| author | Morava, J |
| author_facet | Morava, J |
| contents | We propose a toy model for symmetry-breaking or bubbling, in terms of cobordism of manifolds with circle actions free on a possible boundary. The Swan-Tate cohomology $t_\T E$ of a complex-oriented $E_\infty$ ring-spectrum $E$ is the extension of a Hopf algebra by its dual, which provides an algebraic rigidification of geometric interest. This note reviews the cases $E = H,K$ and $MU$, with special attention to $λ$-ring structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19714 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Swan-Tate cohomology of meromorphic circle actions Morava, J Algebraic Topology 55Nxx, 57R91, 74A15 We propose a toy model for symmetry-breaking or bubbling, in terms of cobordism of manifolds with circle actions free on a possible boundary. The Swan-Tate cohomology $t_\T E$ of a complex-oriented $E_\infty$ ring-spectrum $E$ is the extension of a Hopf algebra by its dual, which provides an algebraic rigidification of geometric interest. This note reviews the cases $E = H,K$ and $MU$, with special attention to $λ$-ring structures. |
| title | Swan-Tate cohomology of meromorphic circle actions |
| topic | Algebraic Topology 55Nxx, 57R91, 74A15 |
| url | https://arxiv.org/abs/2403.19714 |