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arxiv: 1112.4173 · v2 · pith:DFMMGXHUnew · submitted 2011-12-18 · 🧮 math.GT · math.AT· math.KT

Products in Generalized Differential Cohomology

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keywords cohomologydifferentialgeneralizedmultiplicativecommutativeconditionconstructiondeveloped
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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.

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