P-Toral Approximations Compute Bredon Homology
| Autor: | Gregory Arone, Kathryn Lesh, William G. Dwyer |
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| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Functor General Mathematics 010102 general mathematics Lie group Primary 55N91 Secondary 55P91 55R40 55R45 Fixed point Homology (mathematics) 01 natural sciences Mathematics::Algebraic Topology Mathematics::Group Theory Mathematics::K-Theory and Homology 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology 010307 mathematical physics 0101 mathematics Mathematics |
| DOI: | 10.48550/arxiv.1901.07330 |
| Popis: | We study Bredon homology approximations for spaces with an action of a compact Lie group G. We show that if M is a coMackey functor satisfying mild p-locality conditions, then Bredon homology of a G-space X with coefficients in M is determined by fixed points of p-toral subgroups of G acting on X. As an application we prove a vanishing result for the Bredon homology of the complex L_n of direct-sum decompositions of complex n-space. Comment: 33 pages. Rewritten for clarity of exposition, including reorganization |
| Databáze: | OpenAIRE |
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