Dirac Structures and Dixmier–Douady Bundles

DOI10.1093/imrn/rnr002zbMath1244.46038arXiv0907.1257OpenAlexW2963995931MaRDI QIDQ3225199

Anton Yu. Alekseev, Eckhard Meinrenken

Publication date: 15 March 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.1257

zbMATH Keywords

Morita morphismsDirac structureDixmier-Douady bundle

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20)

Related Items (6)

Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem ⋮ Differential cocycles and Dixmier-Douady bundles ⋮ Groupoid equivariant prequantization ⋮ Quantization of Hamiltonian loop group spaces ⋮ Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids ⋮ Index character associated with the projective Dirac operator

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