In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices.
Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.
"synopsis" may belong to another edition of this title.
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.
Dr. Christian Kassel is the director of CNRS (Centre National de la Recherche Scientifique in France), was the director of l'Institut de Recherche Mathematique Avancee from 2000 to 2004, and is an editor for the Journal of Pure and Applied Algebra. Kassel has numerous publications, including the book Quantum Groups in the Springer Gradate Texts in Mathematics series.
Dr. Vladimir Turaev was also a professor at the CNRS and is currently at Indiana University in the Department of Mathematics.
"About this title" may belong to another edition of this title.
Shipping:
FREE
Within U.S.A.
Book Description Hardcover. Condition: new. Seller Inventory # 9780387338415
Book Description Condition: New. Seller Inventory # ABLIING23Feb2215580172001
Book Description Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9780387338415_lsuk
Book Description Condition: New. Seller Inventory # I-9780387338415
Book Description Hardcover. Condition: Brand New. 1st edition. 340 pages. 9.50x6.50x1.00 inches. In Stock. Seller Inventory # x-0387338411
Book Description Condition: New. The authors introduce the basic theory of braid groups, highlighting several definitions showing their equivalence. This is followed by a treatment of the relationship between braids, knots and links. Important results then look at linearity and orderability. Series: Graduate Texts in Mathematics. Num Pages: 348 pages, 60 black & white illustrations, biography. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 20. Weight in Grams: 730. . 2008. 2008th Edition. hardcover. . . . . Seller Inventory # V9780387338415
Book Description Hardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9780387338415