An intrinsic characterization of p-symmetric Heegaard splittings
Abstract
Description
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.
7 pages, 2 figures. 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
7 pages, 2 figures. 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