2011/12/18 by Markus Upmeier, Upmeier, Markus
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.GT #math.KT
paper · pdf · doi:10.48550/arxiv.1112.4173
26 pages
openalex publication_date 2011/12/18 · arxiv created 2012/08/16 · arxiv updated 2012/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.