Radial index and Poincar\'e-Hopf index of 1-forms on semi-analytic sets
Algebraic Geometry
2017-05-24 v1
Abstract
The radial index of a 1-form on a singular set is a generalization of the classical Poincar\'e-Hopf index. We consider different classes of closed semi-analytic sets in R^n that contain 0 in their singular locus and we relate the radial index of a 1-form at 0 on these sets to Poincar\'e-Hopf indices at 0 of vector fiels defined on R^n.
Cite
@article{arxiv.0903.2137,
title = {Radial index and Poincar\'e-Hopf index of 1-forms on semi-analytic sets},
author = {Nicolas Dutertre},
journal= {arXiv preprint arXiv:0903.2137},
year = {2017}
}
Comments
38 pages