Knot Floer homology detects fibred knots
نویسنده
چکیده
Ozsváth and Szabó conjectured that knot Floer homology detects fibred knots in S3. We will prove this conjecture for null-homologous knots in arbitrary closed 3-manifolds. Namely, if K is a knot in a closed 3-manifold Y , Y −K is irreducible, and ̂ HFK(Y, K ) is monic, then K is fibred. The proof relies on previous works due to Gabai, Ozsváth–Szabó, Ghiggini and the author. A corollary is that if a knot in S3 admits a lens space surgery, then the knot is fibred.
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تاریخ انتشار 2006