Minimal partitions for critical Heegaard splittings

J. H. Lee; T. Saito

doi:10.1142/S0218216520500236

Minimal partitions for critical Heegaard splittings

J. H. Lee
, T. Saito

Department of Mathematics

Joetsu University of Education

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

Abstract

In this paper, we define the minimality of a partition for a critical Heegaard surface. The standard minimal genus Heegaard surface of (a closed orientable surface) × S1, which is known to be critical, admits a minimal partition. Moreover, we give an example of a critical surface that admits both a minimal partition and a non-minimal partition.

Original language	English
Article number	2050023
Journal	Journal of Knot Theory and its Ramifications
Volume	29
Issue number	4
DOIs	https://doi.org/10.1142/S0218216520500236
State	Published - 2020.04.1

Keywords

critical surface
disk complex
Heegaard splitting
minimal partition

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1142/S0218216520500236

Cite this

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title = "Minimal partitions for critical Heegaard splittings",

abstract = "In this paper, we define the minimality of a partition for a critical Heegaard surface. The standard minimal genus Heegaard surface of (a closed orientable surface) × S1, which is known to be critical, admits a minimal partition. Moreover, we give an example of a critical surface that admits both a minimal partition and a non-minimal partition.",

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AU - Lee, J. H.

AU - Saito, T.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - In this paper, we define the minimality of a partition for a critical Heegaard surface. The standard minimal genus Heegaard surface of (a closed orientable surface) × S1, which is known to be critical, admits a minimal partition. Moreover, we give an example of a critical surface that admits both a minimal partition and a non-minimal partition.

AB - In this paper, we define the minimality of a partition for a critical Heegaard surface. The standard minimal genus Heegaard surface of (a closed orientable surface) × S1, which is known to be critical, admits a minimal partition. Moreover, we give an example of a critical surface that admits both a minimal partition and a non-minimal partition.

KW - critical surface

KW - disk complex

KW - Heegaard splitting

KW - minimal partition

UR - https://www.scopus.com/pages/publications/85082509779

U2 - 10.1142/S0218216520500236

DO - 10.1142/S0218216520500236

M3 - Journal article

AN - SCOPUS:85082509779

SN - 0218-2165

VL - 29

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 4

M1 - 2050023

ER -

Minimal partitions for critical Heegaard splittings

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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