Geodesic
Non-left-orderable double branched coverings
Ito, Tetsuya1
1Research Institute for Mathematical Sciences, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan
Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 1937-1965
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We develop a method to show the fundamental group of the double branched covering of links is not left-orderable by introducing a notion of coarse presentation. Like usual group presentations, a coarse presentation is given by a set of generators and relations, but inequalities are allowed as relations. By using coarse presentations, we give a family of links whose double branched covering has non-left-orderable fundamental group. Our family of links includes many known and new examples.

DOI : 10.2140/agt.2013.13.1937
Classification : 57M05, 57M12, 57M27
Keywords: left-orderable groups, coarse presentation, double branched coverings, L–space

Ito, Tetsuya  1

1 Research Institute for Mathematical Sciences, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan 
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Ito, Tetsuya. Non-left-orderable double branched coverings. Algebraic and Geometric Topology, Tome 13 (2013) no. 4, pp. 1937-1965. doi: 10.2140/agt.2013.13.1937

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