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.

引用

页码：275 / 287

页数：13

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