The odd-dimensional analogue of a theorem of Getzler and Wu

DOI10.4171/JNCG/130zbMath1284.58011arXiv1011.0721OpenAlexW2964175408MaRDI QIDQ380268

Zhizhang Xie

Publication date: 13 November 2013

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0721

zbMATH Keywords

non-commutative geometry\(b\)-calculusConnes-Chern characterhigher Atiyah-Patodi-Singer indexodd dimensional manifold with boundary

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Noncommutative geometry (à la Connes) (58B34)

Related Items (1)

The noncommutative family Atiyah-Patodi-Singer index theorem

Cites Work

• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
• The odd Chern character in cyclic homology and spectral flow
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• An index theorem for Toeplitz operators on odd-dimensional manifolds with boundary
• Unbounded Fredholm Operators and Spectral Flow
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