Essential Immersed Surfaces in Closed Hyperbolic 3-Manifolds

Jeremy Kahn, SUNY Stony Brook

Given any closed hyperbolic 3-manifold M and ε > 0, we find a closed hyperbolic surface S and a map f:S → M such that f lifts to a (1+ ε)-quasi-isometry from the universal cover of S to the universal cover of M. This is joint work with Vladimir Markovic.