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Brownian surfaces with boundary and Deligne cohomology
Authors:  mi Lé  andre
Affiliation:Institut Elie Cartan, Université de Nancy I, 54000 Vandoeuvre-les-Nancy, France
Abstract:We define differentiable random surfaces, which realize a kind of generalized parallel transport for line bundles over the loop space. This gives a realization of one of the axioms of Segal of conformal field theory.
Keywords:Brownian motion   Deligne cohomology
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