Representation spaces of pretzel knots
classification
🧮 math.GT
keywords
knotspretzelrepresentationspacesappearappearingbinaryclass
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We study the representation spaces $R(K;\bf{i})$ as appearing in Kronheimer and Mrowka's framed instanton knot Floer homology, for a class of pretzel knots. In particular, for pretzel knots $P(p,q,r)$ with $p, q, r$ pairwise coprime, these appear to be non-degenerate and comprise representations in SU(2) that are not binary dihedral.
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