Embeddings of Surfaces into 3-Space and Quadruple Points of Regular Homotopies
Geometric Topology
2007-05-23 v1
Abstract
Let F be a closed orientable surface. We give an explicit formula for the number mod 2 of quadruple points occurring in any generic regular homotopy between any two regularly homotopic embeddings e,e':F -> R^3. The formula is in terms of homological data extracted from the two embeddings.
Cite
@article{arxiv.math/9911066,
title = {Embeddings of Surfaces into 3-Space and Quadruple Points of Regular Homotopies},
author = {Tahl Nowik},
journal= {arXiv preprint arXiv:math/9911066},
year = {2007}
}
Comments
11 pages, 2 figures