Radial index and Poincaré-Hopf index of 1-forms on semi-analytic sets - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: The radial index of a 1-form on a singular set is a generalization of theclassical Poincar\-e-Hopf index. We consider different classes of closedsemi-analytic sets in R^n that contain 0 in their singular locus and we relatethe radial index of a 1-form at 0 on these sets to Poincar\-e-Hopf indices at 0of vector fiels defined on R^n.



Author: Nicolas Dutertre LATP

Source: https://arxiv.org/



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