On left-orderable fundamental groups and Dehn surgeries on knots

2013/01/12 by Tran, Anh T. · 1 citation
#57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1301.2637

Abstract

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.

Cited by

• SL₂(\mathbb R)-representations and left-orderable surgeries of (-2, 3, 2n+1)-pretzel knots

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