Using work of Ozsváth and Szabó, we show that if a nontrivial knot in admits a lens space surgery with slope , then , where is the genus of the knot. This is a close approximation to a bound conjectured by Goda and Teragaito.
"Lens space surgeries and a conjecture of Goda and Teragaito." Geom. Topol. 8 (3) 1013 - 1031, 2004. https://doi.org/10.2140/gt.2004.8.1013