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Products in Generalized Differential Cohomology (1112.4173v2)
Published 18 Dec 2011 in math.GT, math.AT, and math.KT
Abstract: In this paper it is shown that multiplicative cohomology theories that are rationally even -- a technical condition that is often satisfied -- the Hopkins-Singer construction of generalized differential cohomology has a unital, graded commutative multiplicative structure. To this end, an explicit integration and a differential cohomology theory for pairs are also developed.