Babytop

Student seminar in topology

Fall 2005






Mike Hill

A New Hopf Algebra for Computing tmf Homology and the tmf homology of B\Sigma_3
Abstract:

I present a Hopf algebra developed by Andre and me and used for computing the $tmf$ homology of a space or spectrum. This is done using a variant of the Adams spectral sequence in the world of $tmf$-module spectra. Following a presentation of this, I will show an application, using this to show that the $tmf$ homology of the cofiber of the transfer map $B\Sigma_3->S^0$ is a torsion free indecomposable module over $tmf_*$.