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

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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.

Original languageEnglish
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages345-353
Number of pages9
DOIs
StatePublished - 2020

Publication series

NameContemporary Mathematics
Volume760
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

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