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Trivializations of differential cocycles

Content Provider	Springer Nature Link
Author	Redden, Corbett
Copyright Year	2013
Abstract	Associated to a differential character is an integral cohomology class, referred to as the characteristic class, and a closed differential form, referred to as the curvature. The characteristic class and curvature are equal in de Rham cohomology, and this is encoded in a commutative square. In the Hopkins–Singer model, where differential characters are equivalence classes of differential cocycles, there is a natural notion of trivializing a differential cocycle. In this paper, we extend the notion of characteristic class, curvature, and de Rham class to trivializations of differential cocycles. These structures fit into a commutative square, and this square is a torsor for the commutative square associated to characters with degree one less. Under the correspondence between degree two differential cocycles and principal circle bundles with connection, we recover familiar structures associated to global sections.
Starting Page	303
Ending Page	331
Page Count	29
File Format	PDF
ISSN	21938407
Journal	Journal of Homotopy and Related Structures
Volume Number	10
Issue Number	2
e-ISSN	15122891
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-11-07
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Algebra Functional Analysis Eta-invariants, Chern-Simons invariants Algebraic Topology Differential cohomology Number Theory Gerbes, differential characters: differential geometric aspects Chern–Simons invariants
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Geometry and Topology

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