A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups

Details A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups

2010-12-03

arxiv.org/abs/1012.0635v1

Mathematics

Geometric Topology

8 pages, no figure

Scientific paper

We observe that Clay-Rolfsen's obstruction of bi-orderability, which uses the
classical Alexander polynomial, is not strengthened by using the twisted
Alexander polynomials for finite representations unlike many known applications
of the Alexander polynomial. This is shown by studying the maximal ordered
abelian quotient of bi-ordered groups.

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