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Geometry and Topology Seminar

Friday, November 2, 2018
3:00pm to 5:00pm
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Linde Hall 187
Some geometric applications of Heegaard Floer homology
Beibei Liu, Department of Mathematics, UC Davis,
For oriented links in the three sphere, there are two geometric questions: determining Thurston polytopes of the link complements and 4-genera of links with vanishing pairwise linking numbers. I will explain how to use the Heegaard Floer homology introduced by Ozsvath and Szabo to determine the Thurston polytope, and give some bounds on the 4-genus in terms of the so-called d-invariants. In particular, for 2-component L-space links, d-invariants of integral surgeries along the link can be computed, generalizing Ni-Wu's formula for knot surgeries, and Thurston polytopes for such links are determined by Alexander polynomials explicitly. I will also show some examples for both questions.
For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].