Product involutions with 0 or 1-dimensional fixed point sets on orientable handlebodies.

Nelson, Roger B.

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Heegaard splittings of the pair of solid torus and the core loop.

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We show that any Heegaard splitting of the pair of the solid torus (≅DxS) and its core loop (an interior point xS) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.