Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets

Author:

DUTERTRE NICOLAS

Abstract

AbstractThe radial index of a 1-form on a singular set is a generalization of the classical Poincaré–Hopf index. We consider different classes of closed singular semi-analytic sets in n that contain 0 in their singular locus and we relate the radial index of a 1-form at 0 on these sets to Poincaré–Hopf indices at 0 of vector fields defined on n.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Indices of Vector Fields and 1-Forms;Handbook of Geometry and Topology of Singularities IV;2023

2. Radial index related to an intersection index;Journal of Singularities;2018

3. Equivariant indices of vector fields and 1-forms;European Journal of Mathematics;2015-03-05

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