English

Representation spaces of pretzel knots

Geometric Topology 2014-10-01 v2

Abstract

We study the representation spaces R(K;i)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)P(p,q,r) with p,q,rp, q, r pairwise coprime, these appear to be non-degenerate and comprise representations in SU(2) that are not binary dihedral.

Cite

@article{arxiv.1012.2876,
  title  = {Representation spaces of pretzel knots},
  author = {Raphael Zentner},
  journal= {arXiv preprint arXiv:1012.2876},
  year   = {2014}
}

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

R2 v1 2026-06-21T16:58:03.843Z