Stretch laminations and hyperbolic Dehn surgery

Abstract: Given a hyperbolic manifold \(M\) and a homotopy class of maps from \(M\) to the circle, there is an associated geodesic "stretch" lamination encoding at which points in \(M\) the Lipschitz constant of any map in the homotopy class must be large. Recently, Farre-Landesberg-Minsky related these laminations to horocycle orbit closures in infinite cyclic covers and when \(M\) is a surface, they analyzed the possible structure of these laminations. I will discuss the case where \(M\) is a 3-manifold and give the first 3-dimensional examples where these laminations can be identified. The argument uses the Thurston norm and tools from quantitative Dehn surgery.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

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Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start at 13:30. Talks are typically fifty minutes long, with ten minutes for questions.

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