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Heegaard Floer d-invariants and integral surgeryGeometry/Topology
|Speaker:||Allison H. Moore, University of California Davis|
|Start time:||Tue, Nov 27 2018, 1:40PM|
Heegaard Floer homology is an extensive package of invariants associated to a closed, oriented three-manifold equipped with a spin-c structure. One particularly useful piece of this package is the d-invariant, which is defined as the maximal grading of a non-torsion class in the Heegaard Floer module. Such d-invariants are in general difficult to compute. We will discuss how to leverage the “mapping cone” formula of Heegaard Floer homology in order to describe the d-invariants of integral surgeries along certain knots and links. We’ll also discuss some applications of the d-invariants in the context of lens space surgeries and band surgery along knots. Parts of this work are joint with E. Gorsky and B. Liu. Other parts are joint with T. Lidman and M. Vazquez.