Constructing thin subgroups commensurable with the figure-eight knot group

Abstract

In this paper we find infinitely many lattices in $SL(4,\mathbb{R})$ each of which contains thin subgroups commensurable with the figure-eight knot group.

11 pages, 1 figure. Fixed minor typos and incorporated referee comments. Small strengthening of main result. Removed second appendix. To appear Alg. & Geom. Top

References in corpus (1)

• Finite Volume Properly Convex Deformations of the Figure-eight Knot

Cited by in corpus (2)

• Constructing thin subgroups of SL(n+1,R) via bending
• Deformation space of discrete groups of SU(2,1) in quaternionic hyperbolic plane