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Equivariant Lefschetz number of differential operators

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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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Authors and Affiliations

  1. Department of Mathematics, ETH Zurich, 8092, Zurich, Switzerland

    Giovanni Felder

  2. Department of Mathematics, Washington University, St. Louis, MO, 63130, USA

    Xiang Tang

Authors
  1. Giovanni Felder
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  2. Xiang Tang
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Correspondence to Xiang Tang.

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Felder, G., Tang, X. Equivariant Lefschetz number of differential operators. Math. Z. 266, 451–470 (2010). https://doi.org/10.1007/s00209-009-0579-7

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  • DOI: https://doi.org/10.1007/s00209-009-0579-7

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