A Polynomial Invariant for Knots via von Neumann Algebras

Jones, V. F. R. (1985). A Polynomial Invariant for Knots via von Neumann Algebras. Bulletin of the American Mathematical Society, 103-111.

Type

Journal article

Intellectual base

Primary research

Year

1985

DOI

10.1090/s0273-0979-1985-15304-2

Link

https://doi.org/10.1090/s0273-0979-1985-15304-2

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Knot Polynomial
  • Jones's original construction arose through von Neumann algebras and braid-group representations.
• Temperley–Lieb Algebra
  • The TL relations enforce the braid relations; closure and a Markov-compatible trace lead to the Jones/Kauffman-bracket framework

    This sourceJones sets g_i = sqrt(t)(t e_i - (1 - e_i)) on the Temperley-Lieb projections to represent the braid group, then normalises the trace of a braid whose closure is L to obtain V_L(t); the Kauffman-bracket route to the same invariant came two years later.

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Registry ID ref:b497668ede82 · see in the full table