On left-orderable fundamental groups and Dehn surgeries on knots

On left-orderable fundamental groups and Dehn surgeries on knots

We show that the resulting manifold by r-surgery on a large class of two-bridge knots has left-orderable fundamental group if the slope r satisfies certain conditions. This result gives a supporting evidence to a conjecture of Boyer, Gordon and Watson that relates L-spaces and the left-orderability...

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Veröffentlicht in:Journal of the Mathematical Society of Japan 2015-01, Vol.67 (1), p.319-338, Article 319
1. Verfasser: TRAN, Anh T.
Format: Artikel
Sprache:eng
Schlagworte:
57M27
Dehn surgery
left-orderable group
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Beschreibung
Zusammenfassung:We show that the resulting manifold by r-surgery on a large class of two-bridge knots has left-orderable fundamental group if the slope r satisfies certain conditions. This result gives a supporting evidence to a conjecture of Boyer, Gordon and Watson that relates L-spaces and the left-orderability of their fundamental groups.
ISSN:0025-5645
1881-2333
DOI:10.2969/jmsj/06710319