Cohomology and Immersed Curves

Mario O. Bourgoin

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arXiv · 0807.1311

Cohomology and Immersed Curves

Mario O. Bourgoin

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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.

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BibTeX RIS

Mario O. Bourgoin. 2012-09-19. Cohomology and Immersed Curves. https://arxiv.org/abs/0807.1311

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