• Corpus ID: 237365114

On the Jones Polynomial

  title={On the Jones Polynomial},
  author={M. Abila Jeba Queen},
  • M. Queen
  • Published 27 August 2021
  • Mathematics
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 ([25],[26],[27],[28],[29]) and Kauffman’s papers ([33],[34],[35]). A background in in… 


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  • J. W. Alexander
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1923
continuous correspondences on a Riemann surface, whether algebraic or not, uithout recourse to transcendental considerations. (d) Open manifolds. Here an adaptation of a reasoning due to Alexander