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arXiv · 1106.1499

Non-left-orderable double branched coverings

Tetsuya Ito
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Abstract

We develop a method to show the fundamental group of the double branched covering of a link is not left-orderable by introducing the notion of the coarse presentation. As in the usual group presentations, a coarse presentation is given by a set of generators and relations, but inequalities are allowed as relations. By using coarse presentation, we give a family of links whose double branched covering has the non-left-orderable fundamental group. Our family of links includes many known examples and new examples.

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Tetsuya Ito. 2011-09-26. Non-left-orderable double branched coverings. https://doi.org/10.2140/agt.2013.13.1937

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