Crosscap Numbers of Two-component Links

Details Crosscap Numbers of Two-component Links Crosscap Numbers of Two-component Links

2006-08-16

arxiv.org/abs/math/0608418v1

Mathematics

Geometric Topology

15 pages, 10 figures

Scientific paper

We define the crosscap number of a 2-component link as the minimum of the
first Betti numbers of connected, non-orientable surfaces bounding the link. We
discuss some properties of the crosscap numbers of 2-component links.

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