The index of an equivariant vector field and addition theorems for Pontryagin classes

V. M. Buchstaber, K. E. Feldman

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper we construct a theory of indices of Morse-Bott vector fields on a manifold and use it to solve a famous localization problem for the transfer map. As a consequence, we obtain addition theorems for universal Pontryagin classes in cobordisms. This enables us to complete the construction of the theory of universal characteristic classes, which was begun more than twenty years ago.

Original languageEnglish
Pages (from-to)223-247
Number of pages25
JournalIzvestiya Mathematics
Volume64
Issue number2
DOIs
Publication statusPublished - 2000
Externally publishedYes

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