The BNS-invariant for the pure braid groups

被引：17

作者：

Koban, Nic ^{[1
]}

McCammond, Jon ^{[2
]}

Meier, John ^{[3
]}

机构：

[1] Univ Maine, Dept Math, Farmington, ME 04938 USA

[2] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA

[3] Lafayette Coll, Dept Math, Easton, PA 18042 USA

来源：

GROUPS GEOMETRY AND DYNAMICS | 2015年 / 9卷 / 03期

关键词：

BNS invariant; sigma invariants; pure braid groups; GEOMETRIC INVARIANTS; VALUATIONS;

D O I：

10.4171/GGD/323

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1987 Bieri, Neumann and Strebel introduced a geometric invariant for discrete groups. In this article we compute and explicitly describe the BNS-invariant for the pure braid groups.

引用

页码：665 / 682

页数：18

共 17 条

[1] The BNS-invariant for Artin groups of circuit rank 2
Almeida, Kisnney
JOURNAL OF GROUP THEORY, 2018, 21 (02) : 189 - 228
[2] Finite graph product closure for a conjecture on the BNS-invariant of Artin groups
de Almeida, Kisnney Emiliano
Lima, Francismar Ferreira
ARCHIV DER MATHEMATIK, 2021, 116 (02) : 131 - 139
[3] The BNS-invariant for some Artin groups of arbitrary circuit rank
Almeida, Kisnney
JOURNAL OF GROUP THEORY, 2017, 20 (04) : 793 - 806
[4] Finite graph product closure for a conjecture on the BNS-invariant of Artin groups
Kisnney Emiliano de Almeida
Francismar Ferreira Lima
Archiv der Mathematik, 2021, 116 : 131 - 139
[5] The BNS invariants of the braid groups and pure braid groups of some surfaces
de Miranda e Pereiro, Carolina
Sgobbi, Wagner Carvalho
COMMUNICATIONS IN ALGEBRA, 2025, 53 (04) : 1688 - 1712
[6] The center of pure complex braid groups
Digne, Francois
Marin, Ivan
Michel, Jean
JOURNAL OF ALGEBRA, 2011, 347 (01) : 206 - 213
[7] Cohomology of Pure Braid Groups of exceptional cases
Settepanella, Simona
TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (05) : 1008 - 1012
[8] EPARATION IN THE BNSR-INVARIANTS OF THE PURE BRAID GROUPS
Zaremsky, Matthew C. B.
PUBLICACIONS MATEMATIQUES, 2017, 61 (02) : 337 - 362
[9] The congruence subgroup problem for pure braid groups: Thurston's proof
McReynolds, D. B.
NEW YORK JOURNAL OF MATHEMATICS, 2012, 18 : 925 - 942
[10] A stability-like theorem for cohomology of pure braid groups of the series A, B and D
Settepanella, S
TOPOLOGY AND ITS APPLICATIONS, 2004, 139 (1-3) : 37 - 47

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