ON THE JLO COCYCLE AND ITS TRANSGRESSION IN ENTIRE CYCLIC COHOMOLOGY

DOI10.1142/S0219887813500370zbMath1283.81103OpenAlexW2090660973MaRDI QIDQ2843350

Alan Lai

Publication date: 22 August 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887813500370

zbMATH Keywords

noncommutative geometryentire cyclic cohomologysemi-finiteJLO index theory

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Constructive quantum field theory (81T08) Applications of selfadjoint operator algebras to physics (46L60)

Cites Work

• On spectral triples in quantum gravity. II.
• Index of a family of Dirac operators on loop space
• On the Chern character of a theta-summable Fredholm module
• Transgression and the Chern character of finite-dimensional K-cycles
• Differentiable perturbation of unbounded operators
• Generalized s-numbers of \(\tau\)-measurable operators
• Spectral flow in Fredholm modules, eta invariants and the JLO cocycle
• The Hochschild class of the Chern character for semifinite spectral triples
• The JLO character for the noncommutative space of connections of Aastrup-Grimstrup-Nest
• The local index formula in semifinite von Neumann algebras. I: Spectral flow
• Type II non-commutative geometry. I: Dixmier trace in von Neumann algebras
• Unbounded Fredholm Modules and Spectral Flow
• Construction de triplets spectraux à partir de modules de Fredholm

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