Span of the Jones polynomials of certain v-adequate virtual links
Minori Okamura, Keiichi Sakai
TL;DR
This paper refines the conditions under which the Jones polynomial inequalities become equalities for virtual links, providing new criteria for virtual link diagrams with a single virtual crossing.
Contribution
It introduces a refined criterion for virtual link diagrams, enhancing understanding of the Jones polynomial's behavior in virtual link theory.
Findings
Refined inequality conditions for virtual links
Criterion for diagrams with one virtual crossing
Improved understanding of virtual link invariants
Abstract
It is known that the Kauffman-Murasugi-Thislethwaite type inequality becomes an equality for any (possibly virtual) adequate link diagram. We refine this condition. As an application we obtain a criterion for virtual link diagram with exactly one virtual crossing to represent a properly virtual link.
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