Affiliation:
1. Department of Mathematics, Pusan National University, Busan 609-735, Korea
Abstract
In this paper, we give a relationship among the period, the minimal supporting genus vg (L) of a periodic virtual link L that admits a minimal supporting genus periodic diagram, and vg (L*) of its factor link L*. As an application, it is shown that if L is a non-classical virtual link of period n which admits a minimal supporting genus n-periodic diagram, then n ≤ 2 vg (L) + 1, except a certain class of periodic virtual links.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
6 articles.
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1. Virtual and welded periods of classical knots;P SYMP PURE MATH;2019
2. Knots and quandles;An Invitation to Knot Theory;2018-09-03
3. Alexander invariants of periodic virtual knots;Dissertationes Mathematicae;2018
4. On the virtual Alexander polynomial of periodic virtual knots;Journal of Knot Theory and Its Ramifications;2014-06
5. ON THE VA-POLYNOMIAL OF PERIODIC VIRTUAL KNOTS;Journal of Knot Theory and Its Ramifications;2013-04