TWISTED BLANCHFIELD PAIRINGS AND DECOMPOSITIONS OF 3-MANIFOLDS

被引：3
|
作者：
Friedl, Stefan [1 ]
Leidy, Constance [2 ]
Nagel, Matthias [3 ]
Powell, Mark [3 ]
机构：
[1] Univ Regensburg, Fak Math, Regensburg, Germany
[2] Wesleyan Univ, Dept Math, Wesleyan Stn, Middletown, CT 06459 USA
[3] Univ Quebec Montreal, Dept Math, Montreal, PQ, Canada
来源：
HOMOLOGY HOMOTOPY AND APPLICATIONS | 2017年 / 19卷 / 02期
关键词：
twisted Blanchfield pairing; infection by a knot; KNOT CONCORDANCE; INVARIANTS; OPERATORS;
D O I：
10.4310/HHA.2017.v19.n2.a14
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a decomposition formula for twisted Blanchfield pairings of 3-manifokls. As an application we show that the twisted Blanchfield pairing of a 3-manifold obtained from a 3-manifold Y with a representation ?: Z[pi(1)(Y)]-> R, infected by a knot J along a curve eta with ?(eta)not equal 1, splits orthogonally as the sum of the twisted Blanchfield pairing of Y and the ordinary Blanchfield pairing of the knot J, with the latter tensored up from Z[t,t (-1)] to 11.
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页码：275 / 287
页数：13
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