Construction of sphere maps with given degrees and a new proof of Morse index formula
General Topology
2011-11-21 v1
Abstract
This note presents a procedure of constructing a higher dimensional sphere map from a lower dimensional one and gives an explicit formula for smooth sphere map with a given degree. As an application a new proof of a generalized Poincare-Hopf theorem called Morse index formula is also presented.
Cite
@article{arxiv.1111.4276,
title = {Construction of sphere maps with given degrees and a new proof of Morse index formula},
author = {Xiao-Song Yang},
journal= {arXiv preprint arXiv:1111.4276},
year = {2011}
}
Comments
9 pages. 0 figure