Raphael Zentner
Published 2010-12-13, updated 2012-05-08Version 2
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.
Comments: 30 pages, 3 figures. This is the published version. It is more general than the previous version regarding the values $p,q,r$. Furthermore, rewritten according after referee's remarks
Journal: Algebraic & Geometric Topology 11 (2011) 2941-2970
Computing the unknotting numbers of certain pretzel knots
Pretzel knots up to nine crossings
The slice-ribbon conjecture for 3-stranded pretzel knots
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