Parity criterion and Dehn twists for unstabilized Heegaard splittings

Abstract

We give a parity condition of a Heegaard diagram to show that it is unstabilized. This improves the result of [5]. As an application, we construct unstabilized Heegaard splittings by Dehn twists on any given Heegaard splitting.

arXiv comment10 pages, 6 figures

References in corpus (2)

• Heegaard splittings of exteriors of, two bridge knots
• Parity condition for irreducibility of Heegaard splittings