Representation spaces of pretzel knots

Zentner, Raphael¹

¹Mathematisches Institut, Universität zu Köln, Weyertal 86-90, D-D-50931 Köln, Germany

Algebraic and Geometric Topology, Tome 11 (2011) no. 5, pp. 2941-2970

Résumé

We study the representation spaces R(K;i) appearing in Kronheimer and Mrowka’s instanton knot Floer homologies 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 nondegenerate and comprise representations in SU(2) that are not binary dihedral.

Détail

DOI : 10.2140/agt.2011.11.2941

Keywords: knot, pretzel knot, representation space, $\mathrm{SU}(2)$, instanton knot Floer homology

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