Braid Groups

Braids and braid groups have been at the heart of mathematical development over the last two decades. Braids play an important role in diverse areas of mathematics and theoretical physics. The special beauty of the theory of braids stems from their attractive geometric nature and their close relatio...

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Détails bibliographiques
Auteurs principaux: Kassel, Christian, 1951-...., Mathématicien, Turaev, Vladimir Georgievič, 1954-...., Mathématicien (Auteur)
Autres auteurs: Dodane, Olivier, 19..- (Illustrateur)
Format: Livre numérique
Langue:Anglais
Publié: New York, NY : Springer New York [20..].
Cham : Springer Nature
Édition:1st ed. 2008.
Collection:Graduate Texts in Mathematics 247
Sujets:
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Note: L'impression du document génère 348 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Braid groups, Christian Kassel, Vladimir Turaev, 2008, New York (N. Y.), Springer, 1 vol. (XI-340 p.), Graduate texts in mathematics, 978-0-387-33841-5
• Braid Groups, Texte imprimé, 9780387563596
• Braid Groups, Texte imprimé, 9781441922205
Description
Résumé:Braids and braid groups have been at the heart of mathematical development over the last two decades. Braids play an important role in diverse areas of mathematics and theoretical physics. The special beauty of the theory of braids stems from their attractive geometric nature and their close relations to other fundamental geometric objects, such as knots, links, mapping class groups of surfaces, and configuration spaces. In this presentation the authors thoroughly examine various aspects of the theory of braids, starting from basic definitions and then moving to more recent results. The advanced topics cover the Burau and the Lawrence--Krammer--Bigelow representations of the braid groups, the Alexander--Conway and Jones link polynomials, connections with the representation theory of the Iwahori--Hecke algebras, and the Garside structure and orderability of the braid groups. This book will serve graduate students, mathematicians, and theoretical physicists interested in low-dimensional topology and its connections with representation theory
Description:L'impression du document génère 348 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliographie:Bibliogr. Index
ISBN:9780387685489
ISSN:2197-5612
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