Solution of the quasipositivity problem in the braid group

Details Solution of the quasipositivity problem in the braid group Solution of the quasipositivity problem in the braid group

2004-02-02

arxiv.org/abs/math/0402023v2

Mathematics

Geometric Topology

20 pages.Revised version of march 2004

Scientific paper

We give a computational algorithm which decides if a braid is quasipositive
or not. A braid is quasipositive if it's a product of conjuguates of
generators. For this, we use the theory of Garside and the combinatorials
properties of the Artin monoid.

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