# Cyclotomic associators and finite type invariants for tangles in the solid torus

@article{Brochier2012CyclotomicAA,
title={Cyclotomic associators and finite type invariants for tangles in the solid torus},
author={Adrien Brochier},
journal={arXiv: Quantum Algebra},
year={2012}
}
• A. Brochier
• Published 3 September 2012
• Mathematics
• arXiv: Quantum Algebra
The universal Vassiliev-Kontsevich invariant is a functor from the category of tangles to a certain graded category of chord diagrams, compatible with the Vassiliev filtration and whose associated graded is an isomorphism. The Vassiliev filtration has a natural extension to tangles in any thickened surface $M\times I$ but the corresponding category of diagrams lacks some finiteness properties which are essential to the above construction. We suggest to overcome this obstruction by studying…

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