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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.