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

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

2009-03-12

arxiv.org/abs/0903.2137v1

Mathematics

Algebraic Geometry

38 pages

Scientific paper

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.

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