J. de la Nuez Gonzalez: JSJ decompositions of the free group relative to a set of multiwords from a topological prospective
Mittwoch, 05.03.2014 10:30 im Raum M5
Extending a technique introduced by Bowditch, Cristopher Cashen and Natasha Makura provide a canonical JSJ decomposition of the free group relative to a finite set of words admitting a topological interpretation. The key object, first considered by Otal, is the so called "decomposition space" of the set of words: the quotient of the boundary of the free group by the equivariant set of lines generated by it. The approach yields some computability results, involving a generalized notion of a Whitehead graph. We will give an account of their work.