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arxiv: 1811.07035 · v1 · pith:5M3JIUHDnew · submitted 2018-11-16 · 🧮 math.AT · math.DG· math.KT

Relative differential cohomology and generalized Cheeger-Simons characters

classification 🧮 math.AT math.DGmath.KT
keywords relativecharacterscheeger-simonscohomologydifferentialgeneralizedaxiomaticboundary
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We provide a suitable axiomatic framework for differential cohomology in the relative case and we deduce the corresponding long exact sequences. We also construct the relative version of the generalized Cheeger-Simons characters and we define the integration map when the fibre has a boundary.

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