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A Lagrangian representation of tangles

David Cimasoni·Vladimir Turaev
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Abstract

We construct a functor from the category of oriented tangles in R^3 to the category of Hermitian modules and Lagrangian relations over Z[t,t^{-1}]. This functor extends the Burau representations of the braid groups and its generalization to string links due to Le Dimet.

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David Cimasoni, Vladimir Turaev. 2004-06-14. A Lagrangian representation of tangles. https://arxiv.org/abs/math/0406269

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