Twisted index theory for foliations

DOI10.1016/j.crma.2010.10.037zbMath1232.58012OpenAlexW2003523591MaRDI QIDQ616739

Paulo Carrillo Rouse, Bai-Ling Wang

Publication date: 12 January 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.10.037

zbMATH Keywords

foliationdeformation quantizationgroupoidindex theoremtwistinganalytic index morphismfibrations with torsion twistingsfoliation with a twistingtangent groupoidtwisted Lie groupoid

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Deformation quantization, star products (53D55) Foliations in differential topology; geometric theory (57R30) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Index theory (19K56)

Related Items (1)

Twisted longitudinal index theorem for foliations and wrong way functoriality

Cites Work

• Geometric cycles, index theory and twisted \(K\)-homology
• The longitudinal index theorem for foliations
• The index of projective families of elliptic operators
• Twisted K-theory of differentiable stacks
• Thom isomorphism and push-forward map in twisted K-theory
• A Schwartz type algebra for the Tangent Groupoid
• Groupoids and an index theorem for conical pseudo-manifolds
• Compactly supported analytic indices for Lie groupoids
• Morphismes $K$-orientés d'espaces de feuilles et fonctorialité en théorie de Kasparov (d'après une conjecture d'A. Connes)
• Indice analytique et groupoïdes de Lie
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