Deformations of reducible representations of 3-manifold groups into SL2(C)

Michael Heusener; Joan Porti; Eva Suárez Peiró

doi:10.1515/crll.2001.003

Deformations of reducible representations of 3-manifold groups into SL2(C)

Michael Heusener, Joan Porti, Eva Suárez Peiró

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

33 Citations (Scopus)

Abstract

Let M be a 3-manifold with torus boundary which is a rational homology circle. We study deformations of reducible representations of (M ) into SL2(C) associated to a simple root of the Alexander polynomial. We also describe the local structure of the representation and character varieties. © 2001, by Walter de Gruyter GmbH & Co. KG. All rights reserved.

Original language	English
Pages (from-to)	191-227
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2001
Issue number	530
DOIs	https://doi.org/10.1515/crll.2001.003
Publication status	Published - 12 Jan 2001

Access to Document

10.1515/crll.2001.003

Cite this

@article{4be793739df44809ae855c8763a229e4,

title = "Deformations of reducible representations of 3-manifold groups into SL2(C)",

abstract = "Let M be a 3-manifold with torus boundary which is a rational homology circle. We study deformations of reducible representations of (M ) into SL2(C) associated to a simple root of the Alexander polynomial. We also describe the local structure of the representation and character varieties. {\textcopyright} 2001, by Walter de Gruyter GmbH & Co. KG. All rights reserved.",

author = "Michael Heusener and Joan Porti and Peir{\'o}, {Eva Su{\'a}rez}",

year = "2001",

month = jan,

day = "12",

doi = "10.1515/crll.2001.003",

language = "English",

volume = "2001",

pages = "191--227",

journal = "Journal fur die Reine und Angewandte Mathematik",

issn = "0075-4102",

publisher = "Walter de Gruyter GmbH",

number = "530",

}

TY - JOUR

T1 - Deformations of reducible representations of 3-manifold groups into SL2(C)

AU - Heusener, Michael

AU - Porti, Joan

AU - Peiró, Eva Suárez

PY - 2001/1/12

Y1 - 2001/1/12

N2 - Let M be a 3-manifold with torus boundary which is a rational homology circle. We study deformations of reducible representations of (M ) into SL2(C) associated to a simple root of the Alexander polynomial. We also describe the local structure of the representation and character varieties. © 2001, by Walter de Gruyter GmbH & Co. KG. All rights reserved.

AB - Let M be a 3-manifold with torus boundary which is a rational homology circle. We study deformations of reducible representations of (M ) into SL2(C) associated to a simple root of the Alexander polynomial. We also describe the local structure of the representation and character varieties. © 2001, by Walter de Gruyter GmbH & Co. KG. All rights reserved.

U2 - 10.1515/crll.2001.003

DO - 10.1515/crll.2001.003

M3 - Article

SN - 0075-4102

VL - 2001

SP - 191

EP - 227

JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 530

ER -

Deformations of reducible representations of 3-manifold groups into SL2(C)

Abstract

Access to Document

Fingerprint

Cite this