English

Equivariant indices of vector fields and 1-forms

Algebraic Geometry 2013-07-09 v1

Abstract

Equivariant versions of the radial index and of the GSV-index of a vector field or a 1-form on a singular variety with an action of a finite group are defined. They have values in the Burnside ring of the group. Poincar\'e-Hopf type theorems for them are proven and some of their properties are described.

Keywords

Cite

@article{arxiv.1307.2054,
  title  = {Equivariant indices of vector fields and 1-forms},
  author = {Wolfgang Ebeling and Sabir M. Gusein-Zade},
  journal= {arXiv preprint arXiv:1307.2054},
  year   = {2013}
}

Comments

18 pages

R2 v1 2026-06-22T00:47:24.067Z