Parity criterion for unstabilized Heegaard splittings

Jung Hoon Lee

doi:10.1017/S0305004110000095

Parity criterion for unstabilized Heegaard splittings

Jung Hoon Lee

Department of Mathematics

Korea Institute for Advanced Study

Research output: Contribution to journal › Journal article › peer-review

Abstract

We give a parity condition of a Heegaard diagram implying that it is unstabilized. As applications, we show that Heegaard splittings of 2-fold branched coverings of n-component, n-bridge links in S³ are unstabilized, and we also construct unstabilized Heegaard splittings by Dehn twists on any given Heegaard splitting.

Original language	English
Pages (from-to)	115-125
Number of pages	11
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	149
Issue number	1
DOIs	https://doi.org/10.1017/S0305004110000095
State	Published - 2010.07

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title = "Parity criterion for unstabilized Heegaard splittings",

abstract = "We give a parity condition of a Heegaard diagram implying that it is unstabilized. As applications, we show that Heegaard splittings of 2-fold branched coverings of n-component, n-bridge links in S3 are unstabilized, and we also construct unstabilized Heegaard splittings by Dehn twists on any given Heegaard splitting.",

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AU - Lee, Jung Hoon

PY - 2010/7

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N2 - We give a parity condition of a Heegaard diagram implying that it is unstabilized. As applications, we show that Heegaard splittings of 2-fold branched coverings of n-component, n-bridge links in S3 are unstabilized, and we also construct unstabilized Heegaard splittings by Dehn twists on any given Heegaard splitting.

AB - We give a parity condition of a Heegaard diagram implying that it is unstabilized. As applications, we show that Heegaard splittings of 2-fold branched coverings of n-component, n-bridge links in S3 are unstabilized, and we also construct unstabilized Heegaard splittings by Dehn twists on any given Heegaard splitting.

UR - https://www.scopus.com/pages/publications/77957283998

U2 - 10.1017/S0305004110000095

DO - 10.1017/S0305004110000095

M3 - Journal article

AN - SCOPUS:77957283998

SN - 0305-0041

VL - 149

SP - 115

EP - 125

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

IS - 1

ER -

Parity criterion for unstabilized Heegaard splittings

Abstract

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