Integration of Cocycles and Lefschetz Number Formulae for Differential Operators

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Author: Ramadoss, A.C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146775
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Integration of Cocycles and Lefschetz Number Formulae for Differential Operators / A.C. Ramadoss // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 23 назв. — англ.

Let E be a holomorphic vector bundle on a complex manifold X such that dimCX=n. Given any continuous, basic Hochschild 2n-cocycle ψ2n of the algebra Diffn of formal holomorphic differential operators, one obtains a 2n-form fε,ψ2n(D) from any holomorphic differential operator D on E. We apply our ear...