Non left-orderable surgeries on L-space twisted torus knots

2019/03/17 by Tran, Anh T.
#FOS: Mathematics #Geometric Topology (math.GT) #Primary 57M27 #Secondary 57M25

paper · doi:10.48550/arxiv.1903.07077

Abstract

We show that if K is an L-space twisted torus knot T^l,m_{p,pk ± 1} with p ≥ 2, k ≥ 1, m ≥ 1 and 1 ≤ l ≤ p-1, then the fundamental group of the 3-manifold obtained by (r)/(s)-surgery along K is not left-orderable whenever (r)/(s) ≥ 2 g(K) -1, where g(K) is the genus of K.

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• Non-left-orderable surgeries on twisted torus knots
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