CANCELLED: Taut foliations and Dehn surgery along positive braid knots.
Siddhi Krishna (Georgia Tech)
Monday 1st March 16:00-17:00 Online
The L-space conjecture has been in the news a lot lately. It predicts a surprising relationship between the algebraic, geometric, and Floer-homological properties of a 3--manifold Y. In particular, it predicts exactly which 3-manifolds admit a ``taut foliation". In this talk, I'll discuss some of my past and forthcoming work investigating these connections. In particular, I'll discuss a strategy for building taut foliations manifolds obtained by Dehn surgery along knots realized as closures of ``positive braids". As an application, I will show how taut foliations can be used to obstruct positivity for cable knots, and produce a new unknot detector. All are welcome; no background in foliation or Floer homology theories will be assumed.
The talk will be preceded by a tea time at 3:45pm. The Zoom link for the seminar is https://uofglasgow.zoom.us/j/91412568415 and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).
If you would like to subscribe to the seminar mailing list, go to https://outlook.office365.com/people/, search "Geometry & Topology" and click "Join group".