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arXiv · 2005.02056

Uniqueness of differential characters and differential K-theory via homological algebra

Ishan Mata
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Abstract

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.

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Ishan Mata. 2020-05-05. Uniqueness of differential characters and differential K-theory via homological algebra. https://arxiv.org/abs/2005.02056

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