526 citations · 1.1k across the 23 of their papers we have counts for
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math.GT2004★ 51 cited
Lens space surgeries and a conjecture of Goda and Teragaito
Jacob Rasmussen
Using work of Ozsvath and Szabo, we show that if a nontrivial knot in S^3 admits a lens space surgery with slope p, then p <= 4g+3, where g is the genus of the knot. This is a clos…
math.GT2004★ 48 cited
Khovanov homology and the slice genus
Jacob A. Rasmussen
We use Lee's work on the Khovanov homology to define a knot invariant s. We show that s(K) is a concordance invariant and that it provides a lower bound for the slice genus of K. A…