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

**Geometry/Topology**

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.