September 22, 2006

Yi Ni (Princeton)

Title: Knot Floer homology detects fibred knots

Abstract: Ozsváth and Szabó conjectured that knot Floer homology detects fibred knots in S^3. In this talk, we will discuss a proof of this conjecture, based on the works of Paolo Ghiggini and the speaker. A corollary of this conjecture is that if a knot in S^3 admits a lens space surgery, then the knot is fibred.