Swan-Tate cohomology of meromorphic circle actions

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1. Verfasser:	Morava, J
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Algebraic Topology 55Nxx, 57R91, 74A15
Online-Zugang:	Acceder al recurso
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_version_	1866917795995844608
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

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