A Lagrangian representation of tangles

Details A Lagrangian representation of tangles A Lagrangian representation of tangles

2004-06-14

arxiv.org/abs/math/0406269v1

Mathematics

Geometric Topology

36 pages, 8 figures

Scientific paper

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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