The Fukumoto-Furuta and the Ozsváth-Szabó invariants for spherical 3-manifolds

Masaaki Ue¹
Banach Center Publ. 85 (2009), 121-139
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 Ozsv\'ath-Szab\'o's correction 
term derived from the Heegaard Floer homology theory if $M$ is a spherical 3-manifold.

MSC (2000): Primary 57M27; Secondary 57N13, 57N10.
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Department of Mathematics
Kyoto University
Kyoto, 606-8502, Japan