Dear mdtop,

This week we have Hannah Turner visiting us (virtually) from the University of Texas.

Her title and abstact are below. As always the google meet link is: https://meet.google.com/frv-bgow-byi

Speaker: Hannah Turner, University of Texas Time: Wednesday, March 3, 2021, 3:30. Title: Branched cyclic covers and L-spaces

Abstract: 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 cyclic cover of a knot in the 3-sphere give many 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. This is joint work with Ahmad Issa.

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman