TWISTED ALEXANDER INVARIANTS, REIDEMEISTER TORSION, AND CASSON–GORDON INVARIANTS

TWISTED ALEXANDER INVARIANTS, REIDEMEISTER TORSION, AND CASSON–GORDON INVARIANTS
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DOI:
10.1016/s0040-9383(98)00039-1
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发表时间:
1999-05
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影响因子:
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通讯作者:
P. Kirk;C. Livingston
P. Kirk;C. Livingston
中科院分区:
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文献类型:
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作者:
P. Kirk;C. Livingston

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1.2. 扭曲亚历山大多项式首先在[13]中被描述,其中该多项式仅对S中的结点有定义;论证和描述是根据基本群的呈现。在2010年,Wada推广了这一工作,并展示了如何在给定群的表示和对Z和的表示的情况下定义扭曲多项式
1.2. BackgroundA twisted Alexander polynomial was first described in [13], where the polynomial is defined only for knots in S; the arguments and description are in terms of a presentation of the fundamental group. In [22] Wada generalized this work and showed how to define a twisted polynomial given only a presentation of a group and representations to Z and