Catégorification des coefficients de la matrice de la représentation de Burau

Mathematics – Geometric Topology

Scientific paper

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19 pages in french, to appear in Annales de la Facult\'e des Sciences de Toulouse. Several changes added in version 2

Scientific paper

We categorify the coefficients of the Burau representation matrix using
elementary geometrical methods. We show the faithfulness of this
categorification in the sense that it detects the trivial braid.

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