Graph manifolds, left-orderability and amalgamation

Adam Clay; Tye Lidman; Liam Watson

doi:10.2140/agt.2013.13.2347

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arXiv · 1106.0486

Graph manifolds, left-orderability and amalgamation

Adam Clay·Tye Lidman·Liam Watson

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Abstract

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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Adam Clay, Tye Lidman, Liam Watson. 2011-06-02. Graph manifolds, left-orderability and amalgamation. https://doi.org/10.2140/agt.2013.13.2347

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