Multiplicative structure in equivariant cohomology

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.


Published in:
Journal Of Pure And Applied Algebra, 216, 1680-1699
Year:
2012
Publisher:
Elsevier
ISSN:
0022-4049
Keywords:
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 Record created 2012-04-26, last modified 2018-03-17

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