The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space

DOI10.1016/j.aim.2021.108143zbMath1486.58001arXiv1901.04721OpenAlexW4200611681MaRDI QIDQ2065948

Batu Güneysu, Matthias Ludewig

Publication date: 13 January 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04721

zbMATH Keywords

Chern characterAtiyah-Singer index theoremJLO-cocyclelocalization on loop space

Mathematics Subject Classification ID

Loop spaces (55P35) (K)-theory and homology; cyclic homology and cohomology (19D55) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Noncommutative geometry (à la Connes) (58B34)

Related Items

The fermionic integral on loop space and the Pfaffian line bundle ⋮ A rigorous construction of the supersymmetric path integral associated to a compact spin manifold ⋮ A short proof of the localization formula for the loop space Chern character of spin manifolds ⋮ Feynman-Kac formula for perturbations of order \(\leq 1\), and noncommutative geometry ⋮ A Chern-Simons transgression formula for supersymmetric path integrals on spin manifolds

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