Invariants of 3-manifolds derived from universal invariants of framed links

Invariants of 3-manifolds derived from universal invariants of framed links
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DOI:
10.1017/s0305004100073102
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发表时间:
1995-03
影响因子:
0.8
通讯作者:
T. Ohtsuki
T. Ohtsuki
中科院分区:
数学2区
文献类型:
--
作者:
T. Ohtsuki

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Reshetikhin and Turaev [10] gave a method to construct a topological invariant of compact oriented 3-manifolds from a ribbon Hopf algebra (e.g. a quantum group Uq(sl2)) using finite-dimensional representations of it. In this paper we give another independent method to construct a topological invariant of compact oriented 3-manifolds from a ribbon Hopf algebra via universal invariants of framed links without using representations of the algebra. For Uq(sl2) these two methods give different invariants of 3-manifolds.