Differential forms on loop spaces and the cyclic bar complex
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Publication:806114
DOI10.1016/0040-9383(91)90019-ZzbMath0729.58004MaRDI QIDQ806114
Ezra Getzler, John D. S. Jones, Scott Petrack
Publication date: 1991
Published in: Topology (Search for Journal in Brave)
Loop spaces (55P35) Differential forms in global analysis (58A10) Currents in global analysis (58A25)
Related Items (44)
COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION ⋮ A rigorous construction of the supersymmetric path integral associated to a compact spin manifold ⋮ A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold ⋮ Formality in an equivariant setting ⋮ STOCHASTIC PROCESSES ON CLASSIFYING SPACES AND STRING STRUCTURES ⋮ Modeling bundle-valued forms on the path space with a curved iterated integral ⋮ A short proof of the localization formula for the loop space Chern character of spin manifolds ⋮ Iterated integrals with values in Azumaya algebras ⋮ Quantization of the Lie bialgebra of string topology ⋮ String topology in three flavors ⋮ Exotic twisted equivariant K-theory ⋮ Equivariant holonomy for bundles and abelian gerbes ⋮ An algebraic chain model of string topology ⋮ On the negative cyclic homology of \(shc\)-algebras ⋮ Lie bialgebra structure on cyclic cohomology of Fukaya categories ⋮ String bracket and flat connections ⋮ \(S^1\)-equivariant Chern-Weil constructions on loop space ⋮ Stochastic Wess-Zumino-Witten model over a symplectic manifold ⋮ The bar derived category of a curved dg algebra ⋮ Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces ⋮ Holonomy, twisting cochains and characteristic classes ⋮ Exotic twisted equivariant cohomology of loop spaces, twisted Bismut-Chern character and T-duality ⋮ STOCHASTIC ADAMS THEOREM FOR A GENERAL COMPACT MANIFOLD ⋮ Multiplicativity of the JLO-character ⋮ Eight flavors of cyclic homology ⋮ The Fixed Point Theorem in Equivariant Cohomology ⋮ String structure over the Brownian bridge ⋮ Bivariant cyclic theory ⋮ The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space ⋮ A characteristic map for the holonomy groupoid of a foliation ⋮ Odd characteristic classes in entire cyclic homology and equivariant loop space homology ⋮ Singular Integral Homology of the Stochastic Loop Space ⋮ On the homotopy structure of strongly homotopy associative algebras ⋮ Stochastic equivariant cohomologies and cyclic cohomology ⋮ Stochastic gauge transform of the string bundle ⋮ Hochschild cohomology of dg manifolds associated to integrable distributions ⋮ Hilbert Space of Spinor Fields Over the Free Loop Space ⋮ On Polyakov's basic variational formula for loop spaces ⋮ Configuration spaces and Vassiliev classes in any dimension ⋮ Adjusted parallel transport for higher gauge theories ⋮ An elementary differential extension of odd K-theory ⋮ A loop group extension of the odd Chern character ⋮ Loop differential \(K\)-theory ⋮ Differential cohomology theories as sheaves of spectra
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