Hess, Kathryn
Multiplicative structure in equivariant cohomology
Journal Of Pure And Applied Algebra
Journal Of Pure And Applied Algebra
Journal Of Pure And Applied Algebra
Journal Of Pure And Applied Algebra
216
Algebraic Model
Homology
2012
2012
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.
Elsevier
0022-4049
Journal Of Pure And Applied Algebra
Journal Articles
10.1016/j.jpaa.2011.12.012