Cocompactly cubulated graph manifolds

Mark F. Hagen; Piotr Przytycki

Cocompactly cubulated graph manifolds

Mark F. Hagen, Piotr Przytycki

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

20 Citations (Scopus)

Abstract

Let M be a graph manifold. We show that \pi_1M is the fundamental group of a compact nonpositively curved cube complex if and only if M is chargeless. We also prove that in that case \pi_1M is virtually compact special.

Original language	Undefined/Unknown
Journal	Israel Journal of Mathematics
Publication status	Published - 2015

Bibliographical note

11 pages

Keywords

math.GT
math.GR

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Persistent link

Cite this

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title = "Cocompactly cubulated graph manifolds",

abstract = "Let M be a graph manifold. We show that \pi_1M is the fundamental group of a compact nonpositively curved cube complex if and only if M is chargeless. We also prove that in that case \pi_1M is virtually compact special.",

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author = "Hagen, {Mark F.} and Piotr Przytycki",

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journal = "Israel Journal of Mathematics",

issn = "0021-2172",

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T1 - Cocompactly cubulated graph manifolds

AU - Hagen, Mark F.

AU - Przytycki, Piotr

N1 - 11 pages

PY - 2015

Y1 - 2015

N2 - Let M be a graph manifold. We show that \pi_1M is the fundamental group of a compact nonpositively curved cube complex if and only if M is chargeless. We also prove that in that case \pi_1M is virtually compact special.

AB - Let M be a graph manifold. We show that \pi_1M is the fundamental group of a compact nonpositively curved cube complex if and only if M is chargeless. We also prove that in that case \pi_1M is virtually compact special.

KW - math.GT

KW - math.GR

M3 - Article (Academic Journal)

SN - 0021-2172

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -