Mathematics – Geometric Topology
Scientific paper
2011-10-16
Mathematics
Geometric Topology
26 pages, 9 figures
Scientific paper
Let M be a graph manifold. We prove that fundamental groups of embedded incompressible surfaces in M are separable in the fundamental group of M, and that the double cosets of crossing surfaces are also separable. We deduce that if there is a "sufficient" collection of surfaces in M, then the fundamental group of M is virtually the fundamental group of a "special" nonpositively curved cube complex. That is a complex that admits a local isometry into the Salvetti complex of a right-angled Artin group. We provide a sufficient collection for graph manifolds with boundary thus proving that their fundamental groups are virtually special, in particular linear.
Przytycki Piotr
Wise Daniel T.
No associations
LandOfFree
Graph manifolds with boundary are virtually special does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Graph manifolds with boundary are virtually special, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Graph manifolds with boundary are virtually special will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-457668