2020/05/05 by Ishan Mata, Mata, Ishan
Mathematics · #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #math.AT #math.DG
paper · pdf · doi:10.48550/arxiv.2005.02056
arxiv created 2020/05/05 · arxiv updated 2020/05/06
In Proc Math Sci 129, 70(219), Rakesh Pawar considers and solves a certain extension problem. In this note, we observe that the existence and uniqueness of differential characters (defined as objects which fit into a hexagon diagram) follow directly from Rakesh Pawar's results. This provides an alternate proof of a weaker version of the results of J. Simons and D. Sullivan, Journal of Topology, 2008, vol 1:45-56. Further this approach directly shows that the hexagon diagram uniquely determines the differential K-theory groups upto an isomorphism.