English

On p-symmetric Heegaard splittings

Geometric Topology 2007-05-23 v1

Abstract

We show that every p-fold strictly-cyclic branched covering of a b-bridge link in S3S^3 admits a p-symmetric Heegaard splitting - in the sense of Birman and Hilden - of genus g=(b1)(p1)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.

Keywords

Cite

@article{arxiv.math/0007162,
  title  = {On p-symmetric Heegaard splittings},
  author = {Michele Mulazzani},
  journal= {arXiv preprint arXiv:math/0007162},
  year   = {2007}
}

Comments

11 pages, 2 figures, to appear in the Journal of Knot Theory and its Ramifications

R2 v1 2026-07-22T16:33:53.848Z