3 papers
math.GT2004
Surface groups are frequently faithful
Jason DeBlois, Richard P. Kent
We show the set of faithful representations of a closed orientable hyperbolic surface group is dense in both irreducible components of the PSL(2,K) representation variety, where K…
math.GT2004
Totally geodesic boundaries of knot complements
Richard P. Kent
Given a compact orientable 3-manifold M whose boundary is a hyperbolic surface and a simple closed curve C in its boundary, every knot in M is homotopic to one whose complement adm…
math.GR2004
Achievable ranks of intersections of finitely generated free groups
Richard P. Kent
We answer a question due to A. Myasnikov by proving that all expected ranks occur as the ranks of intersections of finitely generated subgroups of free groups.