The renormalized Euler Characteristic and L-space surgeries

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

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.

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