Equivariant Lefschetz number of differential operators

Giovanni Felder; Xiang Tang

doi:10.1007/s00209-009-0579-7

Equivariant Lefschetz number of differential operators

Giovanni Felder
, Xiang Tang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Let G be a compact Lie group acting on a compact complex manifold M by holomorphic transformations. We prove a trace density formula for the G-Lefschetz number of a holomorphic differential operator on M. We generalize the recent results of Engeli and the first author to orbifolds.

Original language	English
Pages (from-to)	451-470
Number of pages	20
Journal	Mathematische Zeitschrift
Volume	266
Issue number	2
DOIs	https://doi.org/10.1007/s00209-009-0579-7
State	Published - 2010

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abstract = "Let G be a compact Lie group acting on a compact complex manifold M by holomorphic transformations. We prove a trace density formula for the G-Lefschetz number of a holomorphic differential operator on M. We generalize the recent results of Engeli and the first author to orbifolds.",

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AB - Let G be a compact Lie group acting on a compact complex manifold M by holomorphic transformations. We prove a trace density formula for the G-Lefschetz number of a holomorphic differential operator on M. We generalize the recent results of Engeli and the first author to orbifolds.

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JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

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Equivariant Lefschetz number of differential operators

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