On reduction curves and Garside properties of braids - Mathematics > Geometric TopologyReportar como inadecuado




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Abstract: In this paper we study the reduction curves of a braid, and how they can beused to decompose the braid into simpler ones in a precise way, which does notcorrespond exactly to the decomposition given by Thurston theory. Then we studyhow a cyclic sliding which is a particular kind of conjugation affects thenormal form of a braid with respect to the normal forms of its components.Finally, using the above methods, we provide the example of a family of braidswhose sets of sliding circuits hence ultra summit sets have exponential sizewith respect to the number of strands and also with respect to the canonicallength.



Autor: Juan Gonzalez-Meneses

Fuente: https://arxiv.org/







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