Smooth maps to the plane and Pontryagin classes, Part I: Local aspects
Algebraic Topology
2011-10-04 v3
Abstract
We classify the most common local forms of smooth maps from a smooth manifold L to the plane. The word "local" can refer to locations in the source L, but also to locations in the target. The first point of view leads us to a classification of certain germs of maps, which we review here although it is very well known. The second point of view leads us to a classification of certain multigerms of maps.
Cite
@article{arxiv.1008.5104,
title = {Smooth maps to the plane and Pontryagin classes, Part I: Local aspects},
author = {Rui M. G. Reis and Michael S. Weiss},
journal= {arXiv preprint arXiv:1008.5104},
year = {2011}
}
Comments
25 pages