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

共 50 条

[41] Surgery diagrams and open book decompositions of contact 3-manifolds
Stipsicz, AI
[J]. ACTA MATHEMATICA HUNGARICA, 2005, 108 (1-2) : 71 - 86
[42] Surgery diagrams and open book decompositions of contact 3-manifolds
András I. Stipsicz
[J]. Acta Mathematica Hungarica, 2005, 108 : 71 - 86
[43] STIEFEL-WHITNEY SURFACES AND DECOMPOSITIONS OF 3-MANIFOLDS INTO HANDLEBODIES
GOMEZLARRANAGA, C
HEIL, W
NUNEZ, V
[J]. TOPOLOGY AND ITS APPLICATIONS, 1994, 60 (03) : 267 - 280
[44] BLANCHFIELD PAIRINGS WITH SQUAREFREE ALEXANDER POLYNOMIAL
HILLMAN, JA
[J]. MATHEMATISCHE ZEITSCHRIFT, 1981, 176 (04) : 551 - 563
[45] On the positivity of twisted L 2-torsion for 3-manifolds
Duan, Jianru
[J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2024, 24 (04):
[46] TWISTED FACE-PAIRING 3-MANIFOLDS WHICH ARE HYPERBOLIC
Hong, Sungbok
Lee, Kyunghwa
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (06) : 1297 - 1310
[47] Complexity of 3-manifolds and combed 3-manifolds
Ishii I.
[J]. Proceedings of the Steklov Institute of Mathematics, 2006, 252 (1) : 74 - 84
[48] Classification of Nonorientable 3-Manifolds Admitting Decompositions into ≤ 26 Coloured Tetrahedra
Maria Rita Casali
[J]. Acta Applicandae Mathematica, 1998, 54 : 75 - 97
[49] Classification of nonorientable 3-manifolds admitting decompositions into ≤26 coloured tetrahedra
Casali, MR
[J]. ACTA APPLICANDAE MATHEMATICAE, 1998, 54 (01) : 75 - 97
[50] A SUFFICIENT CONDITION FOR SURFACES IN 3-MANIFOLDS TO HAVE UNIQUE PRIME DECOMPOSITIONS
MOTTO, M
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 120 (04) : 1275 - 1280

← 1 2 3 4 5 →