An index theorem for manifolds with boundary

DOI10.1016/j.crma.2009.10.021zbMath1204.58016arXiv0905.1420OpenAlexW2052534618MaRDI QIDQ1046543

Bertrand Monthubert, Paulo Carrillo Rouse

Publication date: 22 December 2009

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

Full work available at URL: https://arxiv.org/abs/0905.1420

zbMATH Keywords

manifold with boundaryAtiyah-Singer index theoremtangent groupoidb-calculus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Index theory and related fixed-point theorems on manifolds (58J20) Noncommutative geometry (à la Connes) (58B34) Index theory (19K56)

Related Items (2)

Twisted longitudinal index theorem for foliations and wrong way functoriality ⋮ An index formula for perturbed Dirac operators on Lie manifolds

Cites Work

• Groupoids, inverse semigroups, and their operator algebras
• Pseudodifferential analysis on continuous family groupoids
• \(K\)-duality for pseudomanifolds with isolated singularities
• Groupoids and pseudodifferential calculus on manifolds with corners
• A Schwartz type algebra for the Tangent Groupoid
• Groupoids and an index theorem for conical pseudo-manifolds
• Indice analytique et groupoïdes de Lie
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An index theorem for manifolds with boundary