The Potts Model, the Jones Polynomial and Link Homology

Louis H. Kauffman ()
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Louis H. Kauffman: University of Illinois at Chicago, Department of Mathematics, Statistics and Computer Science (m/c 249)

Chapter Chapter 3 in Dialogues Between Physics and Mathematics, 2022, pp 49-91 from Springer

Abstract: Abstract In the paper we explore how the Potts model in statistical mechanics is related to the Temperley-Lieb algebra, the Jones polynomial and Khovanov homology. This exploration is made possible because the underlying combinatorics for the bracket state sum for the Jones polynomial is shared by the Potts model for planar graphs.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-17523-7_3

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DOI: 10.1007/978-3-031-17523-7_3

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