Parity criterion and Dehn twists for unstabilized Heegaard splittings

Details Parity criterion and Dehn twists for unstabilized Heegaard splittings Parity criterion and Dehn twists for unstabilized Heegaard splittings

2009-03-03

arxiv.org/abs/0903.0454v1

Mathematics

Geometric Topology

10 pages, 6 figures

Scientific paper

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.

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