CYCLIC AND FINITE SURGERIES ON PRETZEL KNOTS

DOI10.1142/S0218216502002037zbMath1023.57016arXivmath/0102050OpenAlexW2078457610MaRDI QIDQ4414947

Thomas W. Mattman

Publication date: 10 August 2003

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0102050

zbMATH Keywords

fundamental groupcharacter varietyDehn surgeriespretzel knotsexceptional surgeryCuller-Shalen seminorms

Mathematics Subject Classification ID

General low-dimensional topology (57M99)

Related Items

Hyperbolic 3-manifolds admitting no fillable contact structures ⋮ Reidemeister torsion and Lens surgeries on knots in homology 3-spheres. I ⋮ On the number of finite $p/q$-surgeries ⋮ Commensurability classes of \((- 2,3,n)\) pretzel knot complements ⋮ Cyclic and finite surgeries on Montesinos knots ⋮ Finite surgeries on three-tangle Pretzel knots ⋮ Immersed surfaces and Seifert fibered surgery on Montesinos knots ⋮ Finite knot surgeries and Heegaard Floer homology

Cites Work

• Cyclic surgery, degrees of maps of character curves, and volume rigidity for hyperbolic manifolds
• On certain quotients of the triangle groups
• Plane curves associated to character varieties of 3-manifolds
• Word hyperbolic Dehn surgery
• Finite Dehn surgery on knots