- journal article metadata
European Mathematical Society Publishing House
2017-03-26 23:45:00
Quantum Topology
Quantum Topol.
QT
1663-487X
1664-073X
General
10.4171/QT
http://www.ems-ph.org/doi/10.4171/QT
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
8
2017
1
Generalized Kashaev invariants for knots in three manifolds
Jun
Murakami
Waseda University, TOKYO, JAPAN
Knots, three manifolds, hyperbolic manifolds, quantum groups, Hopf algebras
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.
Manifolds and cell complexes
Associative rings and algebras
Nonassociative rings and algebras
Quantum theory
35
73
10.4171/QT/86
http://www.ems-ph.org/doi/10.4171/QT/86