Index theory and partitioning by enlargeable hypersurfaces

DOI10.4171/JNCG/63zbMath1201.58020arXiv0812.1445OpenAlexW2962811223MaRDI QIDQ990742

Mostafa Esfahani Zadeh

Publication date: 1 September 2010

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

Full work available at URL: https://arxiv.org/abs/0812.1445

zbMATH Keywords

Dirac operatorspositive scalar curvaturehigher index theorypartitioned manifolds

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Exotic index theories on manifolds (58J22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Rho-classes, index theory and Stolz’ positive scalar curvature sequence ⋮ A coarse relative-partitioned index theorem ⋮ \(C^\ast\)-algebraic higher signatures and an invariance theorem in codimension two ⋮ Codimension two index obstructions to positive scalar curvature ⋮ Coarse indices of twisted operators ⋮ A note on some classical results of Gromov-Lawson

Cites Work

• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• A note on the cobordism invariance of the index
• \(C^ *\)-algebras, positive scalar curvature, and the Novikov conjecture. III
• On the structure of manifolds with positive scalar curvature
• Spin and scalar curvature in the presence of a fundamental group. I
• The classification of simply connected manifolds of positive scalar curvature
• Enlargeability and index theory
• Enlargeability and index theory: infinite covers
• \(L^2\)-index theorems, KK-theory, and connections
• A NOTE ON THE RELATIVE INDEX THEOREM
• Functional calculus and representations of C0(C) on a Hilbert module
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