An algebraic index theorem for orbifolds

DOI10.1016/j.aim.2006.05.018zbMath1119.58014arXivmath/0507546OpenAlexW1979729617MaRDI QIDQ869838

Xiang Tang, Markus J. Pflaum, Hessel Posthuma

Publication date: 9 March 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507546

zbMATH Keywords

Hochschild cohomologydeformation quantizationorbifoldsindex theory

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Noncommutative differential geometry (46L87) Geometry and quantization, symplectic methods (81S10) Exotic index theories on manifolds (58J22) Deformation quantization, star products (53D55) Pseudogroups and differentiable groupoids (58H05) Index theory (19K56)

Related Items

On the algebraic index for Riemannian étale groupoids ⋮ Geometry of localized effective theories, exact semi-classical approximation and the algebraic index ⋮ Hochschild Lefschetz class for \(\mathcal D\)-modules ⋮ A heat kernel proof of the index theorem for deformation quantization ⋮ Differentiable stratified groupoids and a de Rham theorem for inertia spaces ⋮ Toeplitz operators on symplectic manifolds ⋮ Cyclic cocycles on deformation quantizations and higher index theorems ⋮ Equivariant Lefschetz number of differential operators ⋮ Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations ⋮ ORBIFOLD CUP PRODUCTS AND RING STRUCTURES ON HOCHSCHILD COHOMOLOGIES ⋮ EQUIVARIANT ALGEBRAIC INDEX THEOREM ⋮ Non-commutative geometry, index theory and mathematical physics. Abstracts from the workshop held July 8--14, 2018

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