Braid Groups
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ISBN-13:
9780387338415
Veröffentl:
2008
Erscheinungsdatum:
05.08.2008
Seiten:
338
Autor:
Christian Kassel
Gewicht:
626 g
Format:
245x164x23 mm
Sprache:
Englisch
Beschreibung:
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.
Braids and braid groups form central objects in knot theory and three-dimensional topology. They have also been at the heart of important mathematical developments over the last two decades. This introductory text presents the theory of braids and braid groups to the reader along with the recent developments in this field. Developments related to the linearity and orderability of braid groups are carefully presented. This well-written text is ideal for graduate students and all mathematicians with an interest in braids and braid groups.
Braids and Braid Groups.- Braids, Knots, and Links.- Homological Representations of the Braid Groups.- Symmetric Groups and Iwahori#x2013;Hecke Algebras.- Representations of the Iwahori#x2013;Hecke Algebras.- Garside Monoids and Braid Monoids.- An Order on the Braid Groups.- Presentations of SL(Z) and PSL(Z).- Fibrations and Homotopy Sequences.- The Birman#x2013;Murakami#x2013;Wenzl Algebras.- Left Self-Distributive Sets.
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