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Crosscap Numbers of Two-component Links

Gengyu Zhang
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Abstract

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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Gengyu Zhang. 2006-08-16. Crosscap Numbers of Two-component Links. https://arxiv.org/abs/math/0608418

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