A proof of the Gordon Conjecture

Ruifeng Qiu; Martin Scharlemann

doi:10.1016/j.aim.2009.07.004

A proof of the Gordon Conjecture

Ruifeng Qiu
, Martin Scharlemann^*

^*Corresponding author for this work

School of Mathematical Sciences

University of California at Santa Barbara

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

A combinatorial proof of the Gordon Conjecture: The sum of two Heegaard splittings is stabilized if and only if one of the two summands is stabilized.

Original language	English
Pages (from-to)	2085-2106
Number of pages	22
Journal	Advances in Mathematics
Volume	222
Issue number	6
DOIs	https://doi.org/10.1016/j.aim.2009.07.004
State	Published - 20 Dec 2009

Keywords

Heegaard splitting
Heegaard stabilization

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10.1016/j.aim.2009.07.004

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title = "A proof of the Gordon Conjecture",

abstract = "A combinatorial proof of the Gordon Conjecture: The sum of two Heegaard splittings is stabilized if and only if one of the two summands is stabilized.",

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AB - A combinatorial proof of the Gordon Conjecture: The sum of two Heegaard splittings is stabilized if and only if one of the two summands is stabilized.

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JO - Advances in Mathematics

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A proof of the Gordon Conjecture

Abstract

Keywords

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