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OverviewBraids and braid groups, the focus of this text, have been at the heart of important mathematical developments over the last two decades. Their association with permutations has led to their presence in a number of mathematical fields and physics. As central objects in knot theory and 3-dimensional topology, braid groups has led to the creation of a new field called quantum topology. 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. Full Product DetailsAuthor: Christian Kassel , O. Dodane , Vladimir TuraevPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2008 ed. Volume: 247 Dimensions: Width: 15.50cm , Height: 2.00cm , Length: 23.50cm Weight: 0.730kg ISBN: 9780387338415ISBN 10: 0387338411 Pages: 338 Publication Date: 05 August 2008 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of print, replaced by POD We will order this item for you from a manufatured on demand supplier. Table of ContentsReviews"From the reviews: ""Details on ... braid groups are carefully provided by Kassel and Turaev's text Braid Groups. ... Braid Groups is very well written. The proofs are detailed, clear, and complete. ... The text is to be praised for its level of detail. ... For people ... who want to understand current research in braid group related areas, Braid Groups is an excellent, in fact indispensable, text."" (Scott Taylor, The Mathematical Association of America, October, 2008) ""This is a very useful, carefully written book that will bring the reader up to date with some of the recent important advances in the study of the braid groups and their generalizations. It continues the tradition of these high quality graduate texts in mathematics. The book could easily be used as a text for a year course on braid groups for graduate students, one advantage being that the chapters are largely independent of each other."" (Stephen P. Humphries, Mathematical Reviews, Issue 2009 e)" From the reviews: Details on ... braid groups are carefully provided by Kassel and Turaev's text Braid Groups. ... Braid Groups is very well written. The proofs are detailed, clear, and complete. ... The text is to be praised for its level of detail. ... For people ... who want to understand current research in braid group related areas, Braid Groups is an excellent, in fact indispensable, text. (Scott Taylor, The Mathematical Association of America, October, 2008) This is a very useful, carefully written book that will bring the reader up to date with some of the recent important advances in the study of the braid groups and their generalizations. It continues the tradition of these high quality graduate texts in mathematics. The book could easily be used as a text for a year course on braid groups for graduate students, one advantage being that the chapters are largely independent of each other. (Stephen P. Humphries, Mathematical Reviews, Issue 2009 e) From the reviews: Details on ! braid groups are carefully provided by Kassel and Turaev's text Braid Groups. ! Braid Groups is very well written. The proofs are detailed, clear, and complete. ... The text is to be praised for its level of detail. ! For people ! who want to understand current research in braid group related areas, Braid Groups is an excellent, in fact indispensable, text. (Scott Taylor, The Mathematical Association of America, October, 2008) This is a very useful, carefully written book that will bring the reader up to date with some of the recent important advances in the study of the braid groups and their generalizations. It continues the tradition of these high quality graduate texts in mathematics. The book could easily be used as a text for a year course on braid groups for graduate students, one advantage being that the chapters are largely independent of each other. (Stephen P. Humphries, Mathematical Reviews, Issue 2009 e) Author InformationDr. 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. Tab Content 6Author Website:Countries AvailableAll regions |