An intrinsic characterization of p-symmetric Heegaard splittings

Michele Mulazzani

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An intrinsic characterization of p-symmetric Heegaard splittings

Michele Mulazzani

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Abstract

We show that every p-fold strictly-cyclic branched covering of a b-bridge link in the 3-sphere admits a p-symmetric Heegaard splitting of genus g=(b-1)(p-1). This gives a complete converse to a result of Birman and Hilden, and gives an intrinsic characterization of p-symmetric Heegaard splittings as p-fold strictly-cyclic branched coverings of links.

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Michele Mulazzani. 2002-05-02. An intrinsic characterization of p-symmetric Heegaard splittings. https://arxiv.org/abs/math/0112231

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