On keen weakly reducbile Heegaard splittings

2017/03/06 by E, Qiang
#57M27 #57N10 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1703.01718

Abstract

A Heegaard splitting which admits a unique pair of disjoint compression disks on distinct sides is said to be keen weakly reducible. This paper provides an construction of keen weakly reducible Heegaard splittings of arbitrary genus except 2. Furthermore, critical Heegaard splittings may yield if we change some conditions.

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