Integration of Cocycles and Lefschetz Number Formulae for Differential Operators

Let E be a holomorphic vector bundle on a complex manifold X such that dim_C X=n. Given any continuous, basic Hochschild 2n-cocycle ψ_{2n} of the algebra Diffn of formal holomorphic differential operators, one obtains a 2n-form f_{E,ψ_{2n}}(D) from any holomorphic differential operator D on E. We ap...

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Bibliographic Details
Main Author: Ajay C. Ramadoss
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.010