Homologically thin, non-quasi-alternating links

Details Homologically thin, non-quasi-alternating links Homologically thin, non-quasi-alternating links

2009-06-11

arxiv.org/abs/0906.2222v1

Mathematics

Geometric Topology

10 pages, 2 figures

Scientific paper

We exhibit the first examples of links which are homologically thin but not
quasi-alternating. To show that they are not quasi-alternating, we argue that
none of their branched double-covers bounds a negative definite 4-manifold with
non-torsion H_1. Using this method, we also complete the determination of the
quasi-alternating pretzel links.

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