Ciprian Manolescu
Published 2006-09-19, updated 2008-02-14Version 3
Given a crossing in a planar diagram of a link in the three-sphere, we show that the knot Floer homologies of the link and its two resolutions at that crossing are related by an exact triangle. As a consequence, we deduce that for any quasi-alternating knot, the total rank of its knot Floer homology is equal to the determinant of the knot.
Comments: 13 pages, 10 figures; 9_46 dropped from the list of quasi-alternating knots
Journal: Math. Res. Lett. 14 (2007), 839--852
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