Proceedings of the American Mathematical Society

Author(s): Michael A. Hill
Journal: Proc. Amer. Math. Soc. 135 (2007), 4075-4086.
MSC (2000): Primary 55N34; Secondary 55T15
Posted: August 14, 2007
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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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