Braids in Pau – An Introduction

Enrique Artal Bartolo[1]; Vincent Florens[2]

  • [1] Departamento de Matemáticas, IUMA, Facultad de Ciencias, Universidad de Zaragoza, c/ Pedro Cerbuna, 12, 50009 Zaragoza, Spain
  • [2] Laboratoire de Mathématiques et de leurs Applications - PAU UMR CNRS 5142 Bâtiment IPRA - Université de Pau et des Pays de l’Adour Avenue de l’Université - BP 1155 64013 PAU CEDEX, France

Annales mathématiques Blaise Pascal (2011)

  • Volume: 18, Issue: 1, page 1-14
  • ISSN: 1259-1734

Abstract

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In this work, we describe the historic links between the study of 3 -dimensional manifolds (specially knot theory) and the study of the topology of complex plane curves with a particular attention to the role of braid groups and Alexander-like invariants (torsions, different instances of Alexander polynomials). We finish with detailed computations in an example.

How to cite

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Artal Bartolo, Enrique, and Florens, Vincent. "Braids in Pau – An Introduction." Annales mathématiques Blaise Pascal 18.1 (2011): 1-14. <http://eudml.org/doc/219757>.

@article{ArtalBartolo2011,
abstract = {In this work, we describe the historic links between the study of $3$-dimensional manifolds (specially knot theory) and the study of the topology of complex plane curves with a particular attention to the role of braid groups and Alexander-like invariants (torsions, different instances of Alexander polynomials). We finish with detailed computations in an example.},
affiliation = {Departamento de Matemáticas, IUMA, Facultad de Ciencias, Universidad de Zaragoza, c/ Pedro Cerbuna, 12, 50009 Zaragoza, Spain; Laboratoire de Mathématiques et de leurs Applications - PAU UMR CNRS 5142 Bâtiment IPRA - Université de Pau et des Pays de l’Adour Avenue de l’Université - BP 1155 64013 PAU CEDEX, France},
author = {Artal Bartolo, Enrique, Florens, Vincent},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Knots; curves; braid groups; torsion; Alexander polynomial; knots},
language = {eng},
month = {1},
number = {1},
pages = {1-14},
publisher = {Annales mathématiques Blaise Pascal},
title = {Braids in Pau – An Introduction},
url = {http://eudml.org/doc/219757},
volume = {18},
year = {2011},
}

TY - JOUR
AU - Artal Bartolo, Enrique
AU - Florens, Vincent
TI - Braids in Pau – An Introduction
JO - Annales mathématiques Blaise Pascal
DA - 2011/1//
PB - Annales mathématiques Blaise Pascal
VL - 18
IS - 1
SP - 1
EP - 14
AB - In this work, we describe the historic links between the study of $3$-dimensional manifolds (specially knot theory) and the study of the topology of complex plane curves with a particular attention to the role of braid groups and Alexander-like invariants (torsions, different instances of Alexander polynomials). We finish with detailed computations in an example.
LA - eng
KW - Knots; curves; braid groups; torsion; Alexander polynomial; knots
UR - http://eudml.org/doc/219757
ER -

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