On p-symmetric Heegaard splittings

Michele Mulazzani

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On 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 $S^3$ admits a p-symmetric Heegaard splitting - in the sense of Birman and Hilden - of genus $g=(b-1)(p-1)$. This gives a complete converse of one of the results of the two authors. Moreover, we introduce the concept of weakly p-symmetric Heegaard splittings and prove similar results in this more general context.

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BibTeX RIS

Michele Mulazzani. 2000-07-26. On p-symmetric Heegaard splittings. https://arxiv.org/abs/math/0007162

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