Conjugation curvature in solvable Baumslag-Solitar groups
Abstract
For an element in BS(1,n) = (t,a|tat-1= an) written in the normal form t-uavtw with u,w ≥ 0 and v ∈ Z, we exhibit a geodesic word representing the element and give a formula for its word length with respect to the generating set {t,a}. Using this word length formula, we prove that there are sets of elements of positive density of positive, negative and zero conjugation curvature, as defined by Bar Natan, Duchin and Kropholler.
This paper has been withdrawn.