A \(K\)-theory proof of the cobordism invariance of the index

DOI10.1007/s10977-005-3109-3zbMath1117.58009arXivmath/0408260OpenAlexW2963480260MaRDI QIDQ864959

Catarina C. Carvalho

Publication date: 13 February 2007

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408260

zbMATH Keywords

cobordism invariance

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22) Index theory (19K56)

Related Items

Cobordism invariance of the family index ⋮ Analysis on singular spaces: Lie manifolds and operator algebras ⋮ Bergman and Calderón projectors for Dirac operators ⋮ An index formula for perturbed Dirac operators on Lie manifolds ⋮ A topological index theorem for manifolds with corners ⋮ Callias-type operators in von Neumann algebras ⋮ Groupoids and an index theorem for conical pseudo-manifolds ⋮ A new proof of an index theorem of Freed and Melrose ⋮ Orbifold index cobordism invariance ⋮ The Atiyah-Singer cobordism invariance and the tangent groupoid ⋮ An index theorem for odd-dimensional \(\mathbb{Z}/k\mathbb{Z}\)-manifolds ⋮ Bordism invariance of the coarse index ⋮ Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families

Cites Work

• Unnamed Item
• A note on the cobordism invariance of the index
• Index theorem for equivariant Dirac operators on noncompact manifolds
• The index of elliptic operators. I
• The index of elliptic operators. IV, V
• New proof of the cobordism invariance of the index
• On the cobordism invariance of the index of Dirac operators
• The index of elliptic operators on compact manifolds