Generalized Kashaev invariants for knots in three manifolds

Generalized Kashaev invariants for knots in three manifolds
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DOI:
10.4171/qt/86
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发表时间:
2013-12
期刊:
arXiv: Geometric Topology
影响因子:
--
通讯作者:
J. Murakami
J. Murakami
中科院分区:
其他
文献类型:
--
作者:
J. Murakami

文献摘要

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将三维球面纽结的Kashaev不变量推广到三维流形纽结的Kashaev不变量。对于透镜空间中的某些纽结,观察到新构造的不变量与纽结补的双曲体积之间的关系。
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.