Topology Atlas Document # ppae-22


An intrinsic characterization of p-symmetric Heegaard splittings

Michele Mulazzani

Proceedings of the Ninth Prague Topological Symposium (2001) pp. 217-222

We show that every p-fold strictly-cyclic branched covering of a b-bridge link in S3 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.

Mathematics Subject Classification. 57M12 57R65 (20F05 57M05 57M25).
Keywords. 3-manifolds, Heegaard splittings, cyclic branched coverings, links, plats, bridge number, braid number.

Document formats
AtlasImage (for online previewing)
LaTeX 16.6 Kb requires figure1.eps, figure2.eps
DVI 26.8 Kb
PostScript 213.4 Kb
gzipped PostScript 79.4 Kb
PDF 176.0 Kb
Reference list in BibTeX

Comments. This contribution is extracted from M. Mulazzani, On p-symmetric Heegaard splittings, J. Knot Theory Ramifications 9 (2000), no. 8, 1059-1067. Reprinted with permission from World Scientific Publishing Co.

Copyright © 2002 Charles University and Topology Atlas. Published April 2002.