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A simple universal property of Thom ring spectra | Omar Antolín-Camarena
; Tobias Barthel
; | Date: |
28 Nov 2014 | Abstract: | We give a simple universal property of the multiplicative structure on the
Thom spectrum of an $n$-fold loop map, obtained as a special case of a
characterization of the algebra structure on the colimit of a lax
$mathcal{O}$-monoidal functor. This allows us to relate Thom spectra to
$mathbb{E}_n$-algebras of a given characteristic in the sense of Szymik. As
applications, we recover the Hopkins--Mahowald theorem realizing
$Hmathbb{F}_p$ as a Thom spectrum, and compute the topological Hochschild
homology and the cotangent complex of various Thom spectra. | Source: | arXiv, 1411.7988 | Services: | Forum | Review | PDF | Favorites |
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