A+ CATEGORY SCIENTIFIC UNIT

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

Volume 85 / 2009

Masaaki Ue 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.

Authors

  • Masaaki UeDepartment of Mathematics
    Kyoto University
    Kyoto, 606-8502, Japan
    e-mail

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