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A Lagrangian representation of tangles |
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| Authors: | David Cimasoni Vladimir Turaev |
| Institution: | a Section de Mathématiques, Université de Genève, 2-4 rue du Lièvre, 1211 Genève 24, Switzerland b IRMA, UMR 7501 CNRS/ULP, 7 rue René Descartes, 67084 Strasbourg, Cedex, France |
| Abstract: | We construct a functor from the category of oriented tangles in R3 to the category of Hermitian modules and Lagrangian relations over Zt,t-1]. This functor extends the Burau representations of the braid groups and its generalization to string links due to Le Dimet. |
| Keywords: | Braids Tangles String links Burau representation Lagrangian relations |
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