Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 17, Number 2 (2017), 1151-1162.
Relative Thom spectra via operadic Kan extensions
We show that a large number of Thom spectra, that is, colimits of morphisms , can be obtained as iterated Thom spectra, that is, colimits of morphisms for some Thom spectrum . This leads to a number of new relative Thom isomorphisms, for example . As an example of interest to chromatic homotopy theorists, we also show that Ravenel’s filtration of is a tower of intermediate Thom spectra determined by a natural filtration of by subbialagebras.
Algebr. Geom. Topol., Volume 17, Number 2 (2017), 1151-1162.
Received: 31 March 2016
Revised: 21 August 2016
Accepted: 24 September 2016
First available in Project Euclid: 19 October 2017
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Beardsley, Jonathan. Relative Thom spectra via operadic Kan extensions. Algebr. Geom. Topol. 17 (2017), no. 2, 1151--1162. doi:10.2140/agt.2017.17.1151. https://projecteuclid.org/euclid.agt/1508431457
- Errata posted on 26 May 2017.