Representation spaces of pretzel knots

Published 13 Dec 2010 in math.GT | (1012.2876v2)

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

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