Amphicheiral links with special properties, II
Teruhisa Kadokami
TL;DR
This paper classifies prime amphicheiral links with 2 or more components and up to 11 crossings, using polynomial invariants to identify their properties and introduce new necessary conditions for special cases.
Contribution
It provides a complete classification of such links up to 11 crossings and develops new polynomial-based criteria for detecting amphicheirality and special cases.
Findings
27 prime amphicheiral links identified
Most links with up to 11 crossings are not amphicheiral based on Jones polynomial
New necessary conditions for special amphicheiral links introduced
Abstract
We determine prime amphicheiral links with at least 2 components and up to 11 crossings. There are 27 such links. We check also special amphicheiralities. Most of prime links with up to 11 crossings are detected not to be amphicheiral by a condition on the Jones polynomial. For the rest links, we applied conditions from the Alexander polynomial. We added new necessary conditions for a special case.
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