Research ArticleNo Access

The non-orientable 4-genus for knots with 10 crossings

Nakisa Ghanbarian

Department of Mathematics and Statistics, University of Nevada, Reno NV 89557, USA

https://doi.org/10.1142/S0218216522500341Cited by:3 (Source: Crossref)

Abstract

Given a knot in the 3-sphere, the non-orientable 4-genus or 4-dimensional crosscap number of a knot is the minimal first Betti number of non-orientable surfaces, smoothly and properly embedded in the 4-ball, with boundary the knot. In this paper, we calculate the non-orientable 4-genus of knots with crossing number 10.

Keywords:

AMSC: 57M25, 57M27

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