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Scientific article
Open access
English

A Lagrangian representation of tangles

Published inTopology, vol. 44, no. 4, p. 747-767
Publication date2005
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.

Keywords
  • Braids
  • Tangles
  • String links
  • Burau representation
  • Lagrangian relations
Classification
  • arxiv : math.GT
Citation (ISO format)
CIMASONI, David, TURAEV, Vladimir. A Lagrangian representation of tangles. In: Topology, 2005, vol. 44, n° 4, p. 747–767. doi: 10.1016/j.top.2005.01.001
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Article (Accepted version)
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ISSN of the journal0040-9383
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