From 3-moves to Lagrangian tangles and cubic skein modules

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We discuss several open problems in classical Knot Theory and we develop techniques that allow us to study them: Lagrangian tangles, skein modules and Burnside groups.
59 pages, 64 figures, Proceedings of the workshop New Techniques in Topological Quantum Field Theory; Calgary/Kananaskis, August 22-27, 2001, Kluwer Academic Publisher, 2004, to appear

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