Crosscap Numbers of Two-component Links

DOI10.5666/KMJ.2008.48.2.241zbMATH Open1152.57302arXivmath/0608418MaRDI QIDQ3526470

Gengyu Zhang

Publication date: 25 September 2008

Published in: Kyungpook mathematical journal (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/math/0608418

zbMATH Keywords

linking formGoeritz matrixnon-orientable surface

Mathematics Subject Classification ID

Related Items (2)

A classification of spanning surfaces for alternating links ⋮ Crosscap number and epimorphisms of two-bridge knot groups

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