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.