75 citations · 138 across the 8 of their papers we have counts for
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math.GT2007★ 11 cited
On Floer homology and the Berge conjecture on knots admitting lens space surgeries
Matthew Hedden
We complete the first step in a two-part program proposed by Baker, Grigsby, and the author to prove that Berge's construction of knots in the three-sphere which admit lens space s…
math.GT2007★ 75 cited
Grid Diagrams for Lens Spaces and Combinatorial Knot Floer Homology
Kenneth L. Baker, J. Elisenda Grigsby, Matthew Hedden
Similar to knots in S^3, any knot in a lens space has a grid diagram from which one can combinatorially compute all of its knot Floer homology invariants. We give an explicit descr…
math.GT2007
An Ozsvath-Szabo Floer homology invariant of knots in a contact manifold
Matthew Hedden
Using the knot Floer homology filtration, we define invariants associated to a knot in a three-manifold possessing non-vanishing Floer co(homology) classes. In the case of the Ozsv…