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An Index of an Equivariant Vector Field and Addition Theorems for Pontrjagin Characteristic Classes

V. M. Buchstaber·K. E. Feldman
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Abstract

The theory of indices of Morse--Bott vector fields on a manifold is constructed and the famous localization problem for the transfer map is solved on its base in the present paper. As a consequence, we obtained addition theorems for the universal Pontrjagin characteristic classes in cobordisms. These results gave us a possibility to complete the construction, which was begun more than twenty years ago, of the universal characteristic classes' theory.

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V. M. Buchstaber, K. E. Feldman. 2000-02-21. An Index of an Equivariant Vector Field and Addition Theorems for Pontrjagin Characteristic Classes. https://arxiv.org/abs/math/0002172

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