Jones polynomials and their zeros for a family of links

Xian'an Jin and Fuji Zhang

Physica A: Statistical Mechanics and its Applications, 2004, vol. 333, issue C, 183-196

Abstract: In this paper, we define a family of links which are similar to but more complex than Pretzel links. We compute the exact expressions of the Jones polynomials for this family of links. Motivated by the connection with the Potts model in statistical mechanics, we investigate accumulation points of zeros of the Jones polynomials for some subfamilies.

Keywords: Zeros distribution; Jones polynomial; Potts model; Kauffman bracket; Writhe; Chain graph; Chain polynomial (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:333:y:2004:i:c:p:183-196

DOI: 10.1016/j.physa.2003.10.085

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