Jon Beardsley (University of Washington)
Relative Thom spectra via operadic Kan extensions
Source Paper Abstract
We show that a large number of Thom spectra, i.e. colimits of morphisms , can be obtained as iterated Thom spectra, i.e. colimits of morphisms for some Thom spectrum . This leads to a number of new relative Thom isomorphisms, e.g. . 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 sub-bialagebras.
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