On the connectedness of subcomplexes of a disk complex

Jung Hoon Lee

doi:10.1142/S0218216514500631

On the connectedness of subcomplexes of a disk complex

Jung Hoon Lee^*

^*Corresponding author for this work

Department of Mathematics

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

Abstract

For a boundary-reducible 3-manifold M with â'M a genus-g surface, we show that if M admits a genus-(g + 1) Heegaard surface S, then the disk complex of S is simply connected. Also we consider the connectedness of the complex of reducing spheres. We investigate the intersection of two reducing spheres for a genus-3 Heegaard splitting of (torus) × I.

Original language	English
Article number	1450063
Journal	Journal of Knot Theory and its Ramifications
Volume	23
Issue number	11
DOIs	https://doi.org/10.1142/S0218216514500631
State	Published - 2014.10.12

Keywords

Disk complex
Heegaard splitting
reducing sphere
topologically minimal surface

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1142/S0218216514500631

Cite this

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title = "On the connectedness of subcomplexes of a disk complex",

abstract = "For a boundary-reducible 3-manifold M with {\^a}'M a genus-g surface, we show that if M admits a genus-(g + 1) Heegaard surface S, then the disk complex of S is simply connected. Also we consider the connectedness of the complex of reducing spheres. We investigate the intersection of two reducing spheres for a genus-3 Heegaard splitting of (torus) × I.",

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AU - Lee, Jung Hoon

PY - 2014/10/12

Y1 - 2014/10/12

N2 - For a boundary-reducible 3-manifold M with â'M a genus-g surface, we show that if M admits a genus-(g + 1) Heegaard surface S, then the disk complex of S is simply connected. Also we consider the connectedness of the complex of reducing spheres. We investigate the intersection of two reducing spheres for a genus-3 Heegaard splitting of (torus) × I.

AB - For a boundary-reducible 3-manifold M with â'M a genus-g surface, we show that if M admits a genus-(g + 1) Heegaard surface S, then the disk complex of S is simply connected. Also we consider the connectedness of the complex of reducing spheres. We investigate the intersection of two reducing spheres for a genus-3 Heegaard splitting of (torus) × I.

KW - Disk complex

KW - Heegaard splitting

KW - reducing sphere

KW - topologically minimal surface

UR - https://www.scopus.com/pages/publications/84929148145

U2 - 10.1142/S0218216514500631

DO - 10.1142/S0218216514500631

M3 - Journal article

AN - SCOPUS:84929148145

SN - 0218-2165

VL - 23

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 11

M1 - 1450063

ER -

On the connectedness of subcomplexes of a disk complex

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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