Some notes on the Feigin-Losev-Shoikhet integral conjecture

DOI10.4171/JNCG/25zbMath1194.32010arXivmath/0612298OpenAlexW2037895862WikidataQ122963937 ScholiaQ122963937MaRDI QIDQ951973

Ajay C. Ramadoss

Publication date: 5 November 2008

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

Full work available at URL: https://arxiv.org/abs/math/0612298

zbMATH Keywords

integral operatordifferential operatorskernelsupertrace\(A_\infty\)-morphismcompleted cyclic homologycompleted Hochschild homologyDolbeaux complexFLS functionalHochschild cocycle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05) Riemann-Roch theorems, Chern characters (19L10)

Related Items (4)

Hochschild Lefschetz class for \(\mathcal D\)-modules ⋮ A variant of the Mukai pairing via deformation quantization ⋮ Integration over complex manifolds via Hochschild homology ⋮ Cyclic cohomology of the Weyl algebra

Cites Work

• A differential complex for Poisson manifolds
• Algebraic index theorem
• A Riemann-Roch-Hirzebruch formula for traces of differential operators
• Microlocalisation de l'homologie de Hochschild
• Produits tensoriels topologiques et espaces nucléaires
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