Relative Deligne cohomology and Cheeger-Simons characters
نویسندگان
چکیده
منابع مشابه
Harmonic Cheeger-simons Characters with Applications
We initiate the study of harmonic Cheeger-Simons characters, with applications to smooth versions of the Geometric Langlands program in the abelian case.
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In this paper we define the formal and tempered Deligne cohomology groups, that are obtained by applying the Deligne complex functor to the complexes of formal differential forms and tempered currents respectively. We then prove the existence of a duality between them, a vanishing theorem for the former and a semipurity property for the latter. The motivation of these results comes from the stu...
متن کاملar X iv : h ep - t h / 04 06 22 1 v 1 2 4 Ju n 20 04 LAPTH Laboratoire d ’ Annecy - le - Vieux de Physique Théorique A CLASS OF TOPOLOGICAL ACTIONS
We review definitions of generalized parallel transports in terms of Cheeger-Simons differential characters. Integration formulae are given in terms of Deligne-Beilinson cohomology classes. These representations of parallel transport can be extended to situations involving distributions as is appropriate in the context of quantized fields. LAPTH-750/99 SPhT-T04/080
متن کاملar X iv : h ep - t h / 04 06 22 1 v 3 2 4 Ju n 20 05 LAPTH Laboratoire d ’ Annecy - le - Vieux de Physique Théorique A CLASS OF TOPOLOGICAL ACTIONS
We review definitions of generalized parallel transports in terms of Cheeger-Simons differential characters. Integration formulae are given in terms of Deligne-Beilinson cohomology classes. These representations of parallel transport can be extended to situations involving distributions as is appropriate in the context of quantized fields. LAPTH-1099/05 SPhT-T04/080
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2014
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2014.v22.n3.a6