An Equivariant Version of the Euler Obstruction

Article

Abstract

For a complex analytic variety with an action of a finite group and for an invariant 1-form on it, we give an equivariant version (with values in the Burnside ring of the group) of the local Euler obstruction of the 1-form and describe its relation with the equivariant radial index defined earlier. This leads to equivariant versions of the local Euler obstruction of a complex analytic space and of the global Euler obstruction.

Keywords

Group action Euler obstruction Burnside ring 

Mathematics Subject Classification

32S05 58E40 19A22 58A10 

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Copyright information

© Sociedade Brasileira de Matemática 2016

Authors and Affiliations

  1. 1.Leibniz Universität Hannover, Institut für Algebraische GeometrieHannoverGermany
  2. 2.Faculty of Mechanics and MathematicsMoscow State UniversityMoscowRussia

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