Topology Seminar: Christian Kassel (CNRS & University of Strasbourg)
Topic
A continuous non-abelian one-cocycle with palindromic values
Speakers
Details
Using a group of automorphisms of the free group F_2 isomorphic to the braid group B_3, we construct a non-abelian one-cocycle P: F_2 --> F_2, which turns out to take palindromic values and to be continuous for the profinite topology on F_2. We characterize the elements of the image of the map P and use B_3 to express the relation between elements having the same image. (Joint work with Christophe Reutenauer, UQAM.)
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