Hess, Kathryn
Multiplicative structure in equivariant cohomology
Journal Of Pure And Applied Algebra
0022-4049
10.1016/j.jpaa.2011.12.012
216
1680-1699
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.
Algebraic Model;
Homology;
Elsevier
2012
http://infoscience.epfl.ch/record/176450/files/HtpyOrb_published.pdf;