The index of projective families of elliptic operators: the decomposable case

zbMath1207.19006arXiv0809.0028MaRDI QIDQ3579559

Varghese Mathai, I. M. Singer, Richard B. Melrose

Publication date: 9 August 2010

Full work available at URL: https://arxiv.org/abs/0809.0028

zbMATH Keywords

twisted cohomologyChern characterindex theoremtwisted K-theorydecomposable Dixmier-Douady invariantsmooth Azumaya bundle

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Exotic index theories on manifolds (58J22) Index theory (19K56) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (7)

Index of projective elliptic operators ⋮ Induced \(C^*\)-complexes in metaplectic geometry ⋮ Twisted \(K\)-theory constructions in the case of a decomposable Dixmier-Douady class. II: Topological and equivariant models ⋮ The Weyl map and bundle gerbes ⋮ Index character associated with the projective Dirac operator ⋮ Analysis of twisted supercharge families on product manifolds ⋮ Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families

This page was built for publication: The index of projective families of elliptic operators: the decomposable case