Taut foliations and Dehn surgery along positive braid knots

Geometry Topology Seminar
Monday, November 30, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Siddhi Krishna – Georgia Tech
Jennifer Hom

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. All are welcome; no background in foliation or Floer homology theories will be assumed.


Meeting ID: 918 8346 3721