Graph manifolds, left-orderability and amalgamation

Details Graph manifolds, left-orderability and amalgamation Graph manifolds, left-orderability and amalgamation

2011-06-02

arxiv.org/abs/1106.0486v1

Mathematics

Geometric Topology

17 pages

Scientific paper

We show that every irreducible toroidal integer homology sphere graph manifold has a left-orderable fundamental group. This is established by way of a specialization of a result due to Bludov and Glass for the almagamated products that arise, and in this setting work of Boyer, Rolfsen and Wiest may be applied. Our result then depends on input from 3-manifold topology and Heegaard Floer homology.

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