Multiplicative structure in equivariant cohomology release_ki2y2tgo7bakxdgpabquvle4pq

by Kathryn Hess

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2011  

Abstract

We introduce the notion of a strongly homotopy-comultiplicative resolution of a module coalgebra over a chain Hopf algebra, which we apply to proving a comultiplicative enrichment of a well-known theorem of Moore concerning the homology of quotient spaces of group actions. The importance of our enriched version of Moore's theorem lies in its application to the construction of useful cochain algebra models for computing multiplicative structure in equivariant cohomology. In the special cases of homotopy orbits of circle actions on spaces and of group actions on simplicial sets, we obtain small, explicit cochain algebra models that we describe in detail.
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Date   2011-11-03
Version   v2
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arXiv  1011.6092v2
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