Affiliation:
1. Department of Mathematics and Statistics, University of Nevada, Reno NV 89557, USA
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.
Funder
National Science Foundation
Publisher
World Scientific Pub Co Pte Ltd
Subject
Algebra and Number Theory
Cited by
2 articles.
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