Cross-cap singularities counted with sign
Algebraic Geometry
2015-06-17 v1
Abstract
There is presented a method for computing the algebraic number of cross-cap singularities for mapping from m dimensional compact manifold with boundary M into R^(2m-1), m is odd. As an application, the intersection number of an immersion g from (m-1)-dimensional sphere to R^(2m-2) is described as the algebraic number of cross-caps of a mapping naturally associated with g.
Keywords
Cite
@article{arxiv.1506.04873,
title = {Cross-cap singularities counted with sign},
author = {Iwona Krzyżanowska},
journal= {arXiv preprint arXiv:1506.04873},
year = {2015}
}