The Fukumoto-Furuta and the Ozsváth-Szabó invariants for spherical 3-manifolds
Volume 85 / 2009
Banach Center Publications 85 (2009), 121-139
MSC: Primary 57M27; Secondary 57N13, 57N10.
DOI: 10.4064/bc85-0-9
Abstract
We show that the Fukumoto-Furuta invariant for a rational homology 3-sphere $M$, which coincides with the Neumann-Siebenmann invariant for a Seifert rational homology 3-sphere, is the same as the Ozsváth-Szabó's correction term derived from the Heegaard Floer homology theory if $M$ is a spherical 3-manifold.