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On the Wu invariants for immersions of a graph into the plane

Authors
  • Nikkuni, Ryo
Type
Preprint
Publication Date
Feb 13, 2010
Submission Date
Aug 21, 2009
Identifiers
arXiv ID: 0908.3109
Source
arXiv
License
Yellow
External links

Abstract

We give an explicit calculation of the Wu invariants for immersions of a finite graph into the plane and classify all generic immersions of a graph into the plane up to regular homotopy by the Wu invariant. This result is a generalization of the fact that two plane curves are regularly homotopic if and only if they have the same rotation number.

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