Representation spaces of pretzel knots

Details Representation spaces of pretzel knots Representation spaces of pretzel knots

2010-12-13

arxiv.org/abs/1012.2876v1

Mathematics

Geometric Topology

18 pages, 1 figure

Scientific paper

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 $p, q, r$ odd, positive
and pairwise coprime, these appear to be non-degenerate and comprise
representations in $SU(2)$ that are not binary dihedral.

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