# A polynomial invariant for knots via von Neumann algebras

@article{Jones1985API,
title={A polynomial invariant for knots via von Neumann algebras},
author={Vaughan F. R. Jones},
journal={Bulletin of the American Mathematical Society},
year={1985},
volume={12},
pages={103-111}
}
• V. Jones
• Published 1985
• Mathematics
• Bulletin of the American Mathematical Society
Thus, the trivial link with n components is represented by the pair (l ,n), and the unknot is represented by (si$2 * * • s n i , n) for any n, where si,$2, • • • > sn_i are the usual generators for Bn. The second example shows that the correspondence of (b, n) with b is many-to-one, and a theorem of A. Markov  answers, in theory, the question of when two braids represent the same link. A Markov move of type 1 is the replacement of (6, n) by (gbg~, n) for any element g in Bn, and a Markov…
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