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Character varieties of odd classical pretzel knots

Geometric Topology 2025-01-24 v4

Abstract

We determine the SL(2,C){\rm SL}(2,\mathbb{C})-character variety for each odd classical pretzel knot P(2k1+1,2k2+1,2k3+1)P(2k_1+1,2k_2+1,2k_3+1), and present a method for computing its A-polynomial.

Keywords

Cite

@article{arxiv.1706.06385,
  title  = {Character varieties of odd classical pretzel knots},
  author = {Haimiao Chen},
  journal= {arXiv preprint arXiv:1706.06385},
  year   = {2025}
}

Comments

15 pages, 2 figures, accepted by Int. J. Math