The symmetric Margulis constant for hyperbolic 3-manifolds

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Andrew Yarmola, Princeton University

In-Person and Online Talk

A classical result of Margulis implies that hyperbolic manifolds may be decomposed into 鈥渢hick鈥 and 鈥渢hin鈥 parts based on a universal constant, where this 鈥渢hin鈥 part has simple topology. While the optimal value of this constant is unknown, bounds found by Meyerhoff have been widely used in controlling the geometry and topology of 3-manifolds. In this talk, we discuss recent work that finds the optimal 鈥渟ymmetric鈥 version of this constant.

This is joint work with David Gabai and David Futer.