The separating disk complex for a handlebody

Sangbum Cho; Jung Hoon Lee

doi:10.1016/j.topol.2025.109272

The separating disk complex for a handlebody

Sangbum Cho
, Jung Hoon Lee^*

^*Corresponding author for this work

Department of Mathematics

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

Abstract

We prove that the separating disk complex for a handlebody is connected. We present two proofs, one is based on the properties of primitive curves while the other one uses the action of the handlebody group on the complex. We also show that the separating reducing sphere complex for a double handlebody is connected.

Original language	English
Article number	109272
Journal	Topology and its Applications
Volume	363
DOIs	https://doi.org/10.1016/j.topol.2025.109272
State	Published - 2025.03.15

Keywords

Curve complex
Dual disk
Handlebody
Primitive curve

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1016/j.topol.2025.109272

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title = "The separating disk complex for a handlebody",

abstract = "We prove that the separating disk complex for a handlebody is connected. We present two proofs, one is based on the properties of primitive curves while the other one uses the action of the handlebody group on the complex. We also show that the separating reducing sphere complex for a double handlebody is connected.",

keywords = "Curve complex, Dual disk, Handlebody, Primitive curve",

author = "Sangbum Cho and Lee, \{Jung Hoon\}",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier B.V.",

year = "2025",

month = mar,

day = "15",

doi = "10.1016/j.topol.2025.109272",

language = "English",

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journal = "Topology and its Applications",

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TY - JOUR

T1 - The separating disk complex for a handlebody

AU - Cho, Sangbum

AU - Lee, Jung Hoon

PY - 2025/3/15

Y1 - 2025/3/15

N2 - We prove that the separating disk complex for a handlebody is connected. We present two proofs, one is based on the properties of primitive curves while the other one uses the action of the handlebody group on the complex. We also show that the separating reducing sphere complex for a double handlebody is connected.

AB - We prove that the separating disk complex for a handlebody is connected. We present two proofs, one is based on the properties of primitive curves while the other one uses the action of the handlebody group on the complex. We also show that the separating reducing sphere complex for a double handlebody is connected.

KW - Curve complex

KW - Dual disk

KW - Handlebody

KW - Primitive curve

UR - https://www.scopus.com/pages/publications/85217026287

U2 - 10.1016/j.topol.2025.109272

DO - 10.1016/j.topol.2025.109272

M3 - Journal article

AN - SCOPUS:85217026287

SN - 0166-8641

VL - 363

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 109272

ER -

The separating disk complex for a handlebody

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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