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Eilenberg–Mac Lane
spectra as equivariant Thom spectra
Jeremy Hahn and Dylan Wilson |
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Geometry & Topology 24 (2020) 2709–2748
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DOI: 10.2140/gt.2020.24.2709
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Abstract |
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We prove that the –equivariant mod Eilenberg–Mac Lane spectrum arises as an equivariant Thom spectrum for any finite, –power cyclic group , generalizing a result of Behrens and the second author in the case of the group . We also establish a construction of , and prove intermediate results that may be of independent interest. Highlights include constraints on the Hurewicz images of equivariant spectra that admit norms, and an analysis of the extent to which the nonequivariant arises as the Thom spectrum of a more than double loop map. |
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Keywords
Thom spectrum, equivariant, Mahowald, Eilenberg–MacLane
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Mathematical Subject Classification 2010
Primary: 55P43, 55P91
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References |
Publication
Received: 1 May 2018
Revised: 19 November 2019
Accepted: 29 December 2019
Published: 29 December 2020
Proposed: Mark Behrens
Seconded: Haynes R Miller, Ralph Cohen
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Authors |
| Jeremy Hahn | |
| Mathematics Department Massachusetts Institute of Technology Cambridge, MA United States |
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| Dylan Wilson | |
| Department of Mathematics Harvard University Cambridge, MA United States |
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