The renormalized Euler Characteristic and L-space surgeries

Abstract

Using the equivalence between the renormalized Euler characteristic of Ozsvath and Szabo, and the Turaev torsion normalized by the Casson-Walker invariant, we make calculations for $S^3_{p/q}(K)$. An alternative proof of a theorem by Ozsv\'ath and Szab\'o on $L$-space surgery obstructions is provided.