Remarks on SU(2)-simple knots and SU(2)-cyclic 3-manifolds

Published 18 Feb 2019 in math.GT | (1902.06560v1)

Abstract: We give some remarks on two closely related issues as stated in the title. In particular we show that a Montesinos knot is SU(2)-simple if and only if it is a 2-bridge knot, extending a result of Zentner for 3-tangle summand pretzel knots. We conjecture with some evidence that an SU(2)-cyclic rational homology 3-sphere is an L-space.

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Xingru Zhang

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