Keywords. Invariant, knot, 3-manifold, Jones polynomial, Vassiliev invariant, Kontsevich invariant, skein module, quandle, braid group, quantum invariant, perturbative invariant, topological quantum field theory, state-sum invariant, Casson invariant, finite type invariant, LMO invariant
AMS subject classification. Primary: 20F36, 57M25, 57M27, 57R56. Secondary: 13B25, 17B10, 17B37, 18D10, 20C08, 20G42, 22E99, 41A60, 46L37, 57M05, 57M50, 57N10, 57Q10, 81T18, 81T45.
Submitted to GT on 28 December 2001. (Revised 4 December 2002 -- 8 April 2004.) Paper accepted 8 April 2004. Paper published 1 June 2004.
T. Ohtsuki (Editor)
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