TOPOLOGY SEMINAR

10/15/2009

Jeremy Kahn
SUNY Stony Brook

Immersed surfaces in closed hyperbolic 3-manifolds

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