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arXiv:1703.07458 [math.GR]AbstractReferencesReviewsResources

Distortion of surfaces in graph manifolds

G. Christopher Hruska, Hoang Thanh Nguyen

Published 2017-03-21Version 1

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.

Comments: 27 pages, 2 figures
Categories: math.GR, math.GT
Subjects: 57M50, 20F65, 20F67
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