An intrinsic characterization of p-symmetric Heegaard splittings

Details An intrinsic characterization of p-symmetric Heegaard splittings An intrinsic characterization of p-symmetric Heegaard splittings

2001-12-20

arxiv.org/abs/math/0112231v3

Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001), pp. 217--222, Topology Atlas, Toronto, 2002

Mathematics

Geometric Topology

7 pages, 2 figures. This contribution is extracted from M. Mulazzani, On $p$-symmetric Heegaard splittings, J. Knot Theory Ram

Scientific paper

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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