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p-adic framed braids and p-adic framed links
by
Sofia Lambropoulou
National Technical University of Athens
Coauthors: Jesus Juyumaya
We first present the construction of the p-adic framed braids. These can be viewed as classical framed braids, but with the framings being p-adic integers, or as natural infinite cablings of modular framed braids. We then construct the p-adic Yokonuma-Hecke algebras. The classical Y-H algebras can be defined as quadratic quotients of the modular framed braid group algebras. Finally, we construct a p-adic Markov trace on the p-adic Y-H algebras, which we normalize to obtain an isotopy invariant of p-adic framed links.
Date received: April 14, 2007
Copyright © 2007 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cauq-18.