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arXiv · 1703.07458

Distortion of surfaces in graph manifolds

G. Christopher Hruska·Hoang Thanh Nguyen
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Abstract

Let S 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 (i.e., separable) and is exponentially distorted when the surface is not virtually embedded.

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G. Christopher Hruska, Hoang Thanh Nguyen. 2017-03-21. Distortion of surfaces in graph manifolds. https://doi.org/10.2140/agt.2019.19.363

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