Concordance and fibered knots

Concordance and fibered knots

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Linh Truong, IAS
Fine Hall 314

In 2010, Hedden shows 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 construct 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. This is joint work in progress with Dongtai He and Diana Hubbard.