A note on the planar surface sum of Heegaard splittings

Guo, Qilong
Zou, Yanqing

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Publication date

January 2016

DOI

10.1016/j.topol.2016.01.025

Publisher

TOPOLOGY AND ITS APPLICATIONS

ISSN

0166-8641

Journal

issn:0166-8641

Abstract

In this paper, we prove that under some condition, (1) the planar surface sum of two unstabilized Heegaard splittings is unstabilized; (2) the self planar surface sum of an unstabilized Heegaard splitting is unstabilized. (C) 2016 Elsevier B.V. All rights reserved.Science Foundation of China University of Petroleum-Beijing [2462015YJRC034]; NSFC [11271058]; NSF-DMU [0915-150529]SCI(E)ARTICLEguoqilong1984@hotmail.com; yanqing@idlnu.edu.cn8-1420

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A note on the planar surface sum of Heegaard splittings

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A note on the planar surface sum of Heegaard splittings

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