An index theorem for loop spaces

DOI10.1016/J.GEOMPHYS.2024.105291MaRDI QIDQ6638260

Doman Takata

Publication date: 14 November 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

index theoremloop spaceWitten genusfixed-point formula\(\mathcal{R}\)\textit{KK}-theory\(C^{\ast}\)-algebras of Hilbert manifolds

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Kasparov theory ((KK)-theory) (19K35) Noncommutative geometry (à la Connes) (58B34) Equivariant (K)-theory (19L47) Index theory (19K56)

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