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An Equivariant Analog of the Poincaré―Hopf Theorem

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Abstract

A new method for localization of algebro-topological invariants of smooth manifolds via equivariant tangent vector fields is presented. Main realizations of direct image constructions (the Gysin map and the Becker―Gottlieb transfer map) are calculated for Grassmannizations of complex vector bundles and for a complex-oriented cohomology theory. Bibliography: 12 titles.

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Authors and Affiliations

  1. Moscow State University, Russia

    K. E. Fel'dman

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  1. K. E. Fel'dman
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Fel'dman, K.E. An Equivariant Analog of the Poincaré―Hopf Theorem. Journal of Mathematical Sciences 113, 906–914 (2003). https://doi.org/10.1023/A:1021264124893

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