Generalized kashaev invariants for knots in three manifolds

Jun Murakami*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2017


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

ASJC Scopus subject areas

  • Mathematical Physics
  • Geometry and Topology


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