TQFT computations and experiments
Norbert A'Campo
TL;DR
This paper introduces a new computational program for TQFT that enables detailed analysis of Witten-Reshetikhin-Turaev representations, facilitating the distinction of mutant fibered knots.
Contribution
The authors developed a novel software tool for TQFT computations, advancing the ability to analyze mapping class group representations and knot invariants.
Findings
Successfully distinguished mutant fibered knots using the program
Demonstrated the program's capability to perform complex TQFT calculations
Provided open access to the software for further research
Abstract
With the help of a new program, we do computations concerning the Witten-Reshetikhin-Turaev representations of mapping class groups. In particular we distinguish some mutant fibered knots. The program can be downloaded from http://www.geometrie.ch/TQFT
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Taxonomy
TopicsGeometric and Algebraic Topology · Luminescence and Fluorescent Materials · Supramolecular Chemistry and Complexes