Abstract
In this paper, we characterize surgery presentations for <TEX>$\mathbb{Z}$</TEX>-homology 3-spheres and <TEX>$\mathbb{Z}/2\mathbb{Z}$</TEX>-homology 3-spheres obtained from <TEX>$S^3$</TEX> by Dehn surgery along a knot or link which admits an even net diagram and show that the Casson invariant for <TEX>$\mathbb{Z}$</TEX>-homology spheres and the <TEX>${\mu}$</TEX>-invariant for <TEX>$\mathbb{Z}/2\mathbb{Z}$</TEX>-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.
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