Cohomology and Immersed Curves

Details Cohomology and Immersed Curves Cohomology and Immersed Curves

2008-07-08

arxiv.org/abs/0807.1311v1

Mathematics

Geometric Topology

13 pages, 4 figures

Scientific paper

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.

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