TL;DR
This paper introduces the Jones polynomial, exploring its mathematical foundations and interdisciplinary connections in functional analysis and topology, based on Jones and Kauffman's original works.
Contribution
It provides an accessible exposition of the Jones polynomial, synthesizing various sources and emphasizing its interdisciplinary nature.
Findings
Encapsulation of the Jones polynomial explained
Connections to functional analysis and topology highlighted
Historical development from original papers discussed
Abstract
This expository essay is aimed at introducing the Jones polynomial. We will see the encapsulation of the Jones polynomial, which will involve topics in functional analysis and geometrical topology; making this essay an interdisciplinary area of mathematics. The presentation is based on a lot of different sources of material (check references), but we will mainly be giving an account on Jones' papers and Kauffman's papers.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology