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Jones: a polynomial invariant for knots via von Neumann algebras

Contribution grade

Topology · Invariant construction

Reference score265,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Knot theory gained a powerful new polynomial invariant and bridge to operator algebra.

Scientific scope

Exact sole-author 1985 article; prior subfactors, HOMFLY-PT, Kauffman and quantum groups separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact 1985 Bulletin of the AMS paper. Jones’s prior subfactor discovery, later HOMFLY-PT and Kauffman polynomials, quantum-group interpretations and applications remain separate.

Contributors

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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