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arXiv:1301.2637 [math.GT]AbstractReferencesReviewsResources

On left-orderable fundamental groups and Dehn surgeries on knots

Anh T. Tran

Published 2013-01-12, updated 2013-06-16Version 3

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.

Comments: Very minor changes. To appear in the Journal of the Mathematical Society of Japan
Categories: math.GT
Subjects: 57M27
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