✦ LIBER ✦

Statistical mechanics and the theory of link invariants

✍ Scribed by F.Y. Wu

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 51 KB
Volume: 26
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(97)00218-5

No coin nor oath required. For personal study only.

✦ Synopsis

In this talk, we review elements of knot theory and knot invariants and their connections with exactly solvable models in statistical mechanics. The generation of knot invariants from vertex models, interaction-round-face models, and spin models with two-spin interactions is elucidated [I]. The example of generating a new invariant from the chiral Potts model with the use of a generalized Gaussian summation identity is given [2,3]; a table of invariants for links with up to eight crossings can be found in [3].

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