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

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

2009-08-21

arxiv.org/abs/0908.3109v3

Mathematics

Geometric Topology

14 pages, 14 figures

Scientific paper

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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