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The number of surfaces of fixed genus in an alternating link complement


Speaker: Anastasiia Tsvietkova, UC Davis
Location: 2112 MSB
Start time: Tue, Oct 13 2015, 1:10PM

Let L be a prime alternating link with n crossings. We show that for each fixed g, the number of genus g incompressible surfaces in the complement of L is bounded by a polynomial in n. Previous bounds were exponential in n. This is joint work with Joel Hass and Abigail Thompson.