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Density spectra for knots

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Publication:2799075
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DOI10.1142/S0218216516400010zbMath1410.57003arXiv1506.05841OpenAlexW2236180220MaRDI QIDQ2799075

Abhijit Champanerkar, Ilya Kofman, Jessica S. Purcell

Publication date: 8 April 2016

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

Full work available at URL: https://arxiv.org/abs/1506.05841


zbMATH Keywords

hyperbolic knotvolume densitydeterminant densityquantum density spectrum


Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)


Related Items (4)

Densities of hyperbolic cusp invariants of knots and links ⋮ Volume and determinant densities of hyperbolic rational links ⋮ Geometry of biperiodic alternating links ⋮ Mahler measure and the Vol‐Det Conjecture




Cites Work

  • The spectra of volume and determinant densities of links
  • Volume bounds for weaving knots
  • Maximal determinant knots
  • Dehn filling, volume, and the Jones polynomial
  • Geometrically and diagrammatically maximal knots
  • Volume and determinant densities of hyperbolic rational links
  • An Introduction to the Volume Conjecture
  • Spanning trees and Khovanov homology




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