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arXiv · 1012.2876

Representation spaces of pretzel knots

Raphael Zentner
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Abstract

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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Raphael Zentner. 2012-05-08. Representation spaces of pretzel knots. https://doi.org/10.2140/agt.2011.11.2941

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