#### Volume 14, issue 2 (2014)

 Recent Issues
Author Index
 The Journal About the Journal Editorial Board Subscriptions Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 To Appear Other MSP Journals
High distance Heegaard splittings via Dehn twists

### Michael Yoshizawa

Algebraic & Geometric Topology 14 (2014) 979–1004
##### Abstract

In 2001, J Hempel proved the existence of Heegaard splittings of arbitrarily high distance by using a high power of a pseudo-Anosov map as the gluing map between two handlebodies. We show that lower bounds on distance can also be obtained when using a high power of a suitably chosen Dehn twist. In certain cases, we can then determine the exact distance of the resulting splitting. These results can be seen as a natural extension of work by A  Casson and C  Gordon in 1987 regarding strongly irreducible Heegaard splittings.

##### Keywords
Heegaard splittings, Hempel distance
Primary: 57M50
Secondary: 57M25