Critical Heegaard surfaces obtained by amalgamation

Jung Hoon Lee

doi:10.1016/j.topol.2012.10.002

Critical Heegaard surfaces obtained by amalgamation

Jung Hoon Lee^*

^*Corresponding author for this work

Department of Mathematics

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

14 Scopus citations

Abstract

Critical surfaces are defined by Bachman as topological index two surfaces, which are a natural extension of incompressible surfaces and strongly irreducible surfaces. In this paper we give a condition to obtain critical Heegaard surfaces by amalgamation. As a special case, we obtain critical Heegaard surfaces by boundary stabilization. Also we give examples of unstabilized critical Heegaard surfaces-the standard Heegaard surfaces of (closed orientable surface)×S ¹.

Original language	English
Pages (from-to)	111-116
Number of pages	6
Journal	Topology and its Applications
Volume	160
Issue number	1
DOIs	https://doi.org/10.1016/j.topol.2012.10.002
State	Published - 2013.01.1

Keywords

Amalgamation
Boundary stabilization
Critical surface
Heegaard splitting

Quacquarelli Symonds(QS) Subject Topics

Mathematics

Access to Document

10.1016/j.topol.2012.10.002

Cite this

@article{faf2010648f44effa8bb1ce5a2adabe3,

title = "Critical Heegaard surfaces obtained by amalgamation",

abstract = "Critical surfaces are defined by Bachman as topological index two surfaces, which are a natural extension of incompressible surfaces and strongly irreducible surfaces. In this paper we give a condition to obtain critical Heegaard surfaces by amalgamation. As a special case, we obtain critical Heegaard surfaces by boundary stabilization. Also we give examples of unstabilized critical Heegaard surfaces-the standard Heegaard surfaces of (closed orientable surface)×S 1.",

keywords = "Amalgamation, Boundary stabilization, Critical surface, Heegaard splitting",

author = "Lee, \{Jung Hoon\}",

year = "2013",

month = jan,

day = "1",

doi = "10.1016/j.topol.2012.10.002",

language = "English",

volume = "160",

pages = "111--116",

journal = "Topology and its Applications",

issn = "0166-8641",

number = "1",

}

TY - JOUR

T1 - Critical Heegaard surfaces obtained by amalgamation

AU - Lee, Jung Hoon

PY - 2013/1/1

Y1 - 2013/1/1

N2 - Critical surfaces are defined by Bachman as topological index two surfaces, which are a natural extension of incompressible surfaces and strongly irreducible surfaces. In this paper we give a condition to obtain critical Heegaard surfaces by amalgamation. As a special case, we obtain critical Heegaard surfaces by boundary stabilization. Also we give examples of unstabilized critical Heegaard surfaces-the standard Heegaard surfaces of (closed orientable surface)×S 1.

AB - Critical surfaces are defined by Bachman as topological index two surfaces, which are a natural extension of incompressible surfaces and strongly irreducible surfaces. In this paper we give a condition to obtain critical Heegaard surfaces by amalgamation. As a special case, we obtain critical Heegaard surfaces by boundary stabilization. Also we give examples of unstabilized critical Heegaard surfaces-the standard Heegaard surfaces of (closed orientable surface)×S 1.

KW - Amalgamation

KW - Boundary stabilization

KW - Critical surface

KW - Heegaard splitting

UR - https://www.scopus.com/pages/publications/84869220156

U2 - 10.1016/j.topol.2012.10.002

DO - 10.1016/j.topol.2012.10.002

M3 - Journal article

AN - SCOPUS:84869220156

SN - 0166-8641

VL - 160

SP - 111

EP - 116

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1

ER -

Critical Heegaard surfaces obtained by amalgamation

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

Other files and links

Fingerprint

Cite this