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

Abstract

The 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 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 Poincaré-Hopf indices at 0 of vector fiels defined on R^n.

38 pages

References in corpus (2)

• Indices of 1-forms on an isolated complete intersection singularity
• Flags in zero dimensional complete intersections and indices of real vector fields