Relative Topological Integrals and Relative Cheeger-Simons Differential Characters

Abstract

Topological integrals appear frequently in Lagrangian field theories. On manifolds without boundary, they can be treated in the framework of (absolute) (co)homology using the formalism of Cheeger--Simons differential characters. String and D--brane theory involve field theoretic models on worldvolumes with boundary. On manifolds with boundary, the proper treatment of topological integrals requires a generalization of the usual differential topological set up and leads naturally to relative (co)homology and relative Cheeger--Simons differential characters. In this paper, we present a construction of relative Cheeger--Simons differential characters which is computable in principle and which contains the ordinary Cheeger--Simons differential characters as a particular case.

49 pages, Plain TeX, no figures, requires AMS font files AMSSYM.DEF and amssym.tex; final version

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Cited by in corpus (5)

• D-brane Charges in Five-brane backgrounds
• Generalized complex geometry, generalized branes and the Hitchin sigma model
• Poisson-Lie T-duality and Courant algebroids
• Deligne-Beilinson cohomology and abelian links invariants
• Relative Gerbes