Immersed surfaces in closed hyperbolic 3-manifolds

Immersed surfaces in closed hyperbolic 3-manifolds

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Jeremy Kahn, SUNY at Stony Brook
Fine Hall 314

Given any closed hyperbolic 3-manifold $M$ and $\epsilon > 0$, we find a closed hyperbolic surface $S$ and a map $f\to S\to M$ 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.