An Index of an Equivariant Vector Field and Addition Theorems for Pontrjagin Characteristic Classes
Algebraic Topology
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0002172,
title = {An Index of an Equivariant Vector Field and Addition Theorems for Pontrjagin Characteristic Classes},
author = {V. M. Buchstaber and K. E. Feldman},
journal= {arXiv preprint arXiv:math/0002172},
year = {2007}
}