A State Sum Link Invariant of Regular Isotopy
Louis H. Kauffman, Simon King, Sostenes Lins
TL;DR
This paper claims to introduce a new link invariant for regular isotopy using a state sum approach, but it was withdrawn due to computational errors, suggesting it may be equivalent to the Jones polynomial.
Contribution
Proposed a novel state sum link invariant for regular isotopy, aiming to extend knot theory tools.
Findings
The initial invariant was computationally flawed.
Corrected computations suggest the invariant is equivalent to the Jones polynomial.
The paper was withdrawn due to fundamental errors.
Abstract
This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Homotopy and Cohomology in Algebraic Topology