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A class of knots with simple SU(2)-representations

Zentner, Raphael



Abstract

We call a knot in the 3-sphere SU(2)-simple if all representations of the fundamental group of its complement which map a meridian to a trace-free element in SU(2) are binary dihedral. This is a generalization of being a 2-bridge knot. Pretzel knots with bridge number >= 3 are not SU(2)-simple. We provide an infinite family of knots K with bridge number >= 3 which are SU(2)-simple. One expects ...

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