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.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Knot Polynomial
- 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.
Supported in partVerified against the source
- The TL relations enforce the braid relations; closure and a Markov-compatible trace lead to the Jones/Kauffman-bracket framework
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