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http://dx.doi.org/10.4134/CKMS.2012.27.4.815

HOMOLOGY 3-SPHERES OBTAINED BY SURGERY ON EVEN NET DIAGRAMS  

Lee, Sang-Youl (Department of Mathematics Pusan National University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.4, 2012 , pp. 815-834 More about this Journal
Abstract
In this paper, we characterize surgery presentations for $\mathbb{Z}$-homology 3-spheres and $\mathbb{Z}/2\mathbb{Z}$-homology 3-spheres obtained from $S^3$ by Dehn surgery along a knot or link which admits an even net diagram and show that the Casson invariant for $\mathbb{Z}$-homology spheres and the ${\mu}$-invariant for $\mathbb{Z}/2\mathbb{Z}$-homology spheres can be directly read from the net diagram. We also construct oriented 4-manifolds bounding such homology spheres and find their some properties.
Keywords
Casson invariant; Dehn surgery; homology 3-sphere; ${\mu}$-invariants; net diagram; 4-manifold;
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