New invariants of links from a skein invariant of colored links
Francesca Aicardi
TL;DR
This paper introduces new link invariants derived from a skein polynomial of colored links, which are shown to be more powerful than the homflypt polynomial in distinguishing links.
Contribution
The paper develops novel link invariants based on a skein polynomial of colored links, enhancing the ability to differentiate links beyond existing polynomials.
Findings
New invariants are stronger than the homflypt polynomial.
Construction of invariants from a skein polynomial of colored links.
Potential applications in link classification and knot theory.
Abstract
New invariants of links are constructed using the skein invariant polynomial of colored links defined by the author in [1]. These invariants are stronger than the homflypt polynomial.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Algebraic structures and combinatorial models