A Lagrangian representation of tangles
Geometric Topology
2012-08-09 v1
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.
Cite
@article{arxiv.math/0406269,
title = {A Lagrangian representation of tangles},
author = {David Cimasoni and Vladimir Turaev},
journal= {arXiv preprint arXiv:math/0406269},
year = {2012}
}
Comments
36 pages, 8 figures