A Riemann-Roch-Hirzebruch formula for traces of differential operators

DOI10.24033/asens.2077zbMath1163.32009arXivmath/0702461OpenAlexW1648817428MaRDI QIDQ3605975

Markus Engeli, Giovanni Felder

Publication date: 25 February 2009

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702461

zbMATH Keywords

Riemann--Roch--Hirzebruch formulaLefschetz formulatraces of differential operators

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Sheaves of differential operators and their modules, (D)-modules (32C38) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Holomorphic fiber spaces (32L99) Other partial differential equations of complex analysis in several variables (32W50) Riemann-Roch theorems, Chern characters (19L10)

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Characteristic classes of flags of foliations and Lie algebra cohomology ⋮ Hochschild Lefschetz class for \(\mathcal D\)-modules ⋮ Quantizable functions on Kähler manifolds and non-formal quantization ⋮ A variant of the Mukai pairing via deformation quantization ⋮ Some notes on the Feigin-Losev-Shoikhet integral conjecture ⋮ Integration over complex manifolds via Hochschild homology ⋮ Cyclic cohomology of the Weyl algebra ⋮ A Riemann-Roch theorem for dg algebras

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