Work

Colored HOMFLY polynomials that distinguish mutant knots

Year: 2015

Type: preprint

Abstract: We illustrate from the viewpoint of braiding operations on WZNW conformal blocks how colored HOMFLY polynomials with multiplicity structure can detect mutations. As an example, we explicitly evaluate the (2,1)-colored HOMFLY polynomials that distinguish a famous mutant pair, Kinoshita-Terasaka and Conway knot.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1504.00364

Authors: Nawata, Satoshi, Ramadevi, P., Singh, Vivek Kumar

Institutions: Max Planck Institute for Mathematics, University of Warsaw, Indian Institute of Technology Bombay

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: American Institute of Mathematics, European Commission, Rheinische Friedrich-Wilhelms-Universität Bonn

OpenAlex ID: W2770005813

Cites: 11

Cited by: 35

Related to: 10