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