Date: Wednesday, January 26, 2022
Location: 4096 East Hall (2:30 PM to 4:00 PM)
Title: Grid Homology
Abstract: Knot Floer homology is a knot invariant that is defined using Heegaard diagrams to represent a knot inside a threemanifold and a version of Lagrangian Floer homology which counts socalled pseudoholomorphic Whitney disks. A powerful invariant, knot Floer homology detects the genus and fiberedness of a knot, recovers the Alexander polynomial, and provides lower bounds on the unknotting number and fourball genus of a knot.
Grid diagrams, which are combinatorial representations of a knot in the threesphere, make it possible to define and prove the invariance of knot Floer homology without any analysis. I will discuss the construction of grid homology and give some examples.
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Speaker: Linh Truong
Institution: University of Michigan
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