A contact geometric proof of the Whitney-Graustein theorem

Details A contact geometric proof of the Whitney-Graustein theorem A contact geometric proof of the Whitney-Graustein theorem

2007-12-29

arxiv.org/abs/0801.0046v1

Enseign. Math. (2) 55 (2009), 93-102

Mathematics

Geometric Topology

7 pages

Scientific paper

The Whitney-Graustein theorem states that regular closed curves in the
2-plane are classified, up to regular homotopy, by their rotation number. Here
we give a simple proof based on contact geometry.

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