Cohomology and Immersed Curves
Geometric Topology
2012-09-20 v2
Abstract
We introduce a new cohomology-theoretic method for classifying generic immersed curves in closed compact surfaces by using Gauss codes. This subsumes a result of J.S. Carter on classifying immersed curves in oriented compact surfaces, and provides a criterion for when an immersion is two-colorable. We note an application to twisted virtual link theory.
Keywords
Cite
@article{arxiv.0807.1311,
title = {Cohomology and Immersed Curves},
author = {Mario O. Bourgoin},
journal= {arXiv preprint arXiv:0807.1311},
year = {2012}
}
Comments
13 pages, 4 figures