Distortion of surfaces in graph manifolds
classification
🧮 math.GR
math.GT
keywords
surfacedistortedembeddedgraphvirtuallydimensionaldistortionexponentially
read the original 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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