Generalized kashaev invariants for knots in three manifolds

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5 Citations (Scopus)

Abstract

Kashaev’s invariants for a knot in a three sphere are generalized to invariants of a knot in a three manifold. A relation between the newly constructed invariants and the hyperbolic volume of the knot complement is observed for some knots in lens spaces.

Original languageEnglish
Pages (from-to)35-73
Number of pages39
JournalQuantum Topology
Volume8
Issue number1
DOIs
Publication statusPublished - 2017

Keywords

  • Hopf algebras
  • Hyperbolic manifolds
  • Knots
  • Quantum groups
  • Three manifolds

ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology

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