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The spectra ko and ku are not Thom spectra: an approach using THH

Vigleik Angeltveit, Michael Hill and Tyler Lawson

Geometry & Topology Monographs 16 (2009) 1–8

DOI: 10.2140/gtm.2009.16.1

arXiv: 0810.2585

Abstract

We apply an announced result of Blumberg–Cohen–Schlichtkrull to reprove (under restricted hypotheses) a theorem of Mahowald: the connective real and complex K–theory spectra are not Thom spectra.

Keywords

connective K-theory, Thom spectra, Adams spectral sequence, loop space

Mathematical Subject Classification

Primary: 55P42

Secondary: 55N20, 55P43

References
Publication

Received: 15 October 2008
Accepted: 2 December 2008
Published: 16 June 2009

Authors
Vigleik Angeltveit
Department of Mathematics
University of Chicago
5734 S University Avenue
Chicago, IL 60637
USA
www.math.uchicago.edu/~vigleik/
Michael Hill
Department of Mathematics
University of Virginia
PO Box 400137
Charlottesville, VA 22904-4137
USA
people.virginia.edu/~mah7cd/
Tyler Lawson
Department of Mathematics
University of Minnesota
206 Church St SE
Minneapolis, MN 55455
USA
www.math.umn.edu/~tlawson/