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Friday, November 02, 2018
3:00 PM - 5:00 PM
Linde Hall 187

Geometry and Topology Seminar

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 mathinfo@caltech.edu.