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The -local $\mathit{tmf}$ -homology of $B\Sigma_3$

Author(s): Michael A. Hill
Journal: Proc. Amer. Math. Soc. 135 (2007), 4075-4086.
MSC (2000): Primary 55N34; Secondary 55T15
Posted: August 14, 2007
MathSciNet review: 2341960
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Abstract: In this paper, we introduce a Hopf algebra, developed by the author and André Henriques, which is usable in the computation of the $\mathit{tmf}$ -homology of a space. As an application, we compute the $\mathit{tmf}$ -homology of $B\Sigma_3$ in a manner analogous to Mahowald and Milgram's computation of the $\mathit{ko}$ -homology $\mathbb{R}P^{\infty}$ .

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Additional Information:

Michael A. Hill
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Address at time of publication: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
Email: mikehill@virginia.edu

DOI: 10.1090/S0002-9939-07-08937-X
PII: S 0002-9939(07)08937-X
Received by editor(s): July 17, 2006
Received by editor(s) in revised form: September 13, 2006
Posted: August 14, 2007
Communicated by: Paul Goerss
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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