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2019 Distortion of surfaces in graph manifolds
G Christopher Hruska, Hoang Thanh Nguyen
Algebr. Geom. Topol. 19(1): 363-395 (2019). DOI: 10.2140/agt.2019.19.363

Abstract

Let S N be an immersed horizontal surface in a 3 –dimensional graph manifold. We show that the fundamental group of the surface S is quadratically distorted whenever the surface is virtually embedded (ie separable) and is exponentially distorted when the surface is not virtually embedded.

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G Christopher Hruska. Hoang Thanh Nguyen. "Distortion of surfaces in graph manifolds." Algebr. Geom. Topol. 19 (1) 363 - 395, 2019. https://doi.org/10.2140/agt.2019.19.363

Information

Received: 19 January 2018; Revised: 19 June 2018; Accepted: 20 August 2018; Published: 2019
First available in Project Euclid: 12 February 2019

zbMATH: 07053577
MathSciNet: MR3910584
Digital Object Identifier: 10.2140/agt.2019.19.363

Subjects:
Primary: 20F65, 20F67, 57M50

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 1 • 2019
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