Department of Mathematics

Geometry and Topology

  •  Linh Truong, University of Michigan
  •  Upsilon invariant and right-veering open book decompositions
  •  02/16/2021
  •  2:50 PM - 3:40 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Honghao Gao (gaohongh@msu.edu)

In 2010, Hedden showed that the Ozsvath-Szabo concordance invariant tau can detect whether a fibered knot induces the tight contact structure on the three-sphere. In 2017, Ozsvath-Stipsicz-Szabo constructed a one-parameter family of concordance invariants Upsilon, which recovers tau as a special case. I will discuss a sufficient condition using Upsilon for the monodromy of the open book decomposition of a fibered knot to be right-veering. As an application, I will discuss a generalization of Baker's conjecture on the concordance of tight, fibered knots. This is joint work with Dongtai He and Diana Hubbard.

 

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