Twisted longitudinal index theorem for foliations and wrong way functoriality
From MaRDI portal
Publication:633602
DOI10.1016/j.aim.2010.12.026zbMath1222.58016arXiv1005.3842OpenAlexW2962838737MaRDI QIDQ633602
Bai-Ling Wang, Paulo Carrillo Rouse
Publication date: 29 March 2011
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.3842
Exotic index theories on manifolds (58J22) Foliations in differential topology; geometric theory (57R30) Twisted (K)-theory; differential (K)-theory (19L50)
Related Items
Multiplicative structures and the twisted Baum-Connes assembly map ⋮ Hierarchies of holonomy groupoids for foliated bundles ⋮ The higher twisted index theorem for foliations ⋮ The holonomy groupoids of singularly foliated bundles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The graph of a foliation
- Twisted index theory for foliations
- Geometric cycles, index theory and twisted \(K\)-homology
- The Atiyah-Singer index formula for subelliptic operators on contact manifolds. I.
- An index theorem for manifolds with boundary
- The longitudinal index theorem for foliations
- A groupoid approach to C*-algebras
- Foliations: geometric studies
- Groupoids, inverse semigroups, and their operator algebras
- Pseudodifferential operators on differential groupoids
- Index theory and non-commutative geometry. I: Higher families index theory
- Functoriality of the bimodule associated to a Hilsum-Skandalis map
- The index of projective families of elliptic operators
- A continuous field of \(C^{*}\)-algebras and the tangent groupoid for manifolds with boundary
- The index of elliptic operators. I
- Twisted K-theory of differentiable stacks
- Higher localized analytic indices and strict deformation quantization
- Local index theorem for projective families
- Thom isomorphism and push-forward map in twisted K-theory
- 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
- Continuous-trace groupoid crossed products