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2017 Relative Thom spectra via operadic Kan extensions
Jonathan Beardsley
Algebr. Geom. Topol. 17(2): 1151-1162 (2017). DOI: 10.2140/agt.2017.17.1151

Abstract

We show that a large number of Thom spectra, that is, colimits of morphisms BG BGL1(S), can be obtained as iterated Thom spectra, that is, colimits of morphisms BG BGL1(Mf) for some Thom spectrum Mf. This leads to a number of new relative Thom isomorphisms, for example MU[6,) M StringMU[6,) MU[6,) S[B3 Spin]. As an example of interest to chromatic homotopy theorists, we also show that Ravenel’s X(n) filtration of MU is a tower of intermediate Thom spectra determined by a natural filtration of BU by subbialagebras.

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Jonathan Beardsley. "Relative Thom spectra via operadic Kan extensions." Algebr. Geom. Topol. 17 (2) 1151 - 1162, 2017. https://doi.org/10.2140/agt.2017.17.1151

Information

Received: 31 March 2016; Revised: 21 August 2016; Accepted: 24 September 2016; Published: 2017
First available in Project Euclid: 19 October 2017

zbMATH: 06698212
MathSciNet: MR3623685
Digital Object Identifier: 10.2140/agt.2017.17.1151

Subjects:
Primary: 55N22, 55P42

Rights: Copyright © 2017 Mathematical Sciences Publishers

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