On topologically minimal surfaces of high genus

Jung Hoon Lee

doi:10.1090/S0002-9939-2015-12455-0

On topologically minimal surfaces of high genus

Jung Hoon Lee^*

^*Corresponding author for this work

Department of Mathematics

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

5 Scopus citations

Abstract

We show that an irreducible 3-manifold containing an incompressible surface has topologically minimal surfaces of arbitrary high genus.

Original language	English
Pages (from-to)	2725-2730
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	143
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-2015-12455-0
State	Published - 2015

Keywords

Disk complex
Incompressible surface
Topological index
Topologically minimal surface

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1090/S0002-9939-2015-12455-0

Cite this

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title = "On topologically minimal surfaces of high genus",

abstract = "We show that an irreducible 3-manifold containing an incompressible surface has topologically minimal surfaces of arbitrary high genus.",

keywords = "Disk complex, Incompressible surface, Topological index, Topologically minimal surface",

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

note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",

year = "2015",

doi = "10.1090/S0002-9939-2015-12455-0",

language = "English",

volume = "143",

pages = "2725--2730",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

number = "6",

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T1 - On topologically minimal surfaces of high genus

AU - Lee, Jung Hoon

PY - 2015

Y1 - 2015

N2 - We show that an irreducible 3-manifold containing an incompressible surface has topologically minimal surfaces of arbitrary high genus.

AB - We show that an irreducible 3-manifold containing an incompressible surface has topologically minimal surfaces of arbitrary high genus.

KW - Disk complex

KW - Incompressible surface

KW - Topological index

KW - Topologically minimal surface

UR - https://www.scopus.com/pages/publications/84925762459

U2 - 10.1090/S0002-9939-2015-12455-0

DO - 10.1090/S0002-9939-2015-12455-0

M3 - Journal article

AN - SCOPUS:84925762459

SN - 0002-9939

VL - 143

SP - 2725

EP - 2730

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

ER -

On topologically minimal surfaces of high genus

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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