HOMOLOGY 3-SPHERES OBTAINED BY SURGERY ON EVEN NET DIAGRAMS
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In this paper, we characterize surgery presentations for Z-homology 3-spheres and Z/2Z-homology 3-spheres obtained from S3 by Dehn surgery along a knot or link which admits an even net diagram and show that the Casson invariant for Z-homology spheres and the μ-invariant for Z/2Z-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.
Abstract
In this paper, we characterize surgery presentations for Z-homology 3-spheres and Z/2Z-homology 3-spheres obtained from S3 by Dehn surgery along a knot or link which admits an even net diagram and show that the Casson invariant for Z-homology spheres and the μ-invariant for Z/2Z-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.
참고문헌 (15)
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