A Lagrangian representation of tangles
classification
🧮 math.GT
keywords
categoryfunctorlagrangiantanglesbraidburauconstructdimet
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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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