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Thesis Defense
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Hannah Turner, Zoom: Symmetries of knots, branched cyclic covers, and L-spaces
Monday, June 28, 2021, 02:00pm - 03:00pm
A 3-manifold is called an L-space if its Heegaard Floer homology is "simple." No characterization of all such "simple" 3-manifolds is known. Manifolds obtained as the double-branched cover of alternating knots in the 3-sphere give examples of L-spaces. In this talk, I'll discuss the search for L-spaces among higher index branched cyclic covers of knots. In particular, I'll give new examples of knots whose branched cyclic covers are L-spaces for every index n. I will also discuss an application to "visibility" of certain periodic symmetries of a knot. This talk is a thesis defense. Meeting ID: 957 4243 4004, Passcode: periodic
Location: Zoom

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