Amphicheiral links with special properties, I

2011/07/02 by Teruhisa Kadokami, Kadokami, Teruhisa
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1107.0377

openalex publication_date 2011/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide necessary conditions for the Alexander polynomials of algebraically split component-preservingly amphicheiral links. We raise a conjecture that the Alexander polynomial of an algebraically split component-preservingly amphicheiral link with even components is zero. Our necessary conditions and some examples support the conjecture.

Related

• Amphicheiral links with special properties, II
• PRIME COMPONENT-PRESERVINGLY AMPHICHEIRAL LINK WITH ODD MINIMAL CROSSING NUMBER
• Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link
• On the Alexander polynomial of special alternating links
• Alexander polynomials and hyperbolic volume of arborescent links