Localization over complex-analytic groupoids and conformal renormalization

DOI10.4171/JNCG/38zbMath1175.46067arXiv0804.3969OpenAlexW2142802292WikidataQ126182482 ScholiaQ126182482MaRDI QIDQ1016431

Denis Perrot

Publication date: 5 May 2009

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

Full work available at URL: https://arxiv.org/abs/0804.3969

zbMATH Keywords

anomalyconformal field theoryK-theorycyclic cohomologygroupoidsindex theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Anomalies in quantum field theory (81T50) (K)-theory and homology; cyclic homology and cohomology (19D55) Pseudogroups and differentiable groupoids (58H05) Index theory (19K56)

Related Items

Extensions and renormalized traces ⋮ Quasihomomorphisms and the residue Chern character

Cites Work

• Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces
• Secondary invariants for Frechet algebras and quasihomomorphisms
• Quasihomomorphisms and the residue Chern character
• D-branes, RR-fields and duality on noncommutative manifolds
• Algebraic study of chiral anomalities
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Cyclic cohomology, the Novikov conjecture and hyperbolic groups
• The local index formula in noncommutative geometry
• The equivariant index theorem in entire cyclic cohomology
• Cyclic Homology and Nonsingularity
• A Riemann-Roch theorem for one-dimensional complex groupoids.
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