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Mathematics > Algebraic Topology

arXiv:1403.4320 (math)
[Submitted on 18 Mar 2014]

Title:Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory

Authors:Matthew Ando, Andrew J. Blumberg, David Gepner, Michael J. Hopkins, Charles Rezk
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Abstract:We extend the theory of Thom spectra and the associated obstruction theory for orientations in order to support the construction of the string orientation of tmf, the spectrum of topological modular forms. We also develop the analogous theory of Thom spectra and orientations for associative ring spectra. Our work is based on a new model of the Thom spectrum as a derived smash product. An earlier version of this paper was part of arXiv:0810.4535.
Comments: arXiv admin note: substantial text overlap with arXiv:0810.4535
Subjects: Algebraic Topology (math.AT)
MSC classes: 55
Cite as: arXiv:1403.4320 [math.AT]
  (or arXiv:1403.4320v1 [math.AT] for this version)
  https://doi.org/10.48550/arXiv.1403.4320
Related DOI: https://doi.org/10.1112/jtopol/jtu009

Submission history

From: Matthew Ando [view email]
[v1] Tue, 18 Mar 2014 02:32:54 UTC (38 KB)
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