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Calcul du cocycle JLO pour l'opérateur de Dirac classique

2022/11/08 by Rudy Rodsphon, Rodsphon, Rudy
Mathematics · #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #FOS: Mathematics #K-Theory and Homology (math.KT) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2211.04003

openalex publication_date 2022/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a short account of a classical folklore result in connection to the local index theorem, which identifies the short-time limit of the JLO cocycle of the Dirac operator to de Rham current obtained by the cap product of the fundamental class with the Â-genus.

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