This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markov's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markov's Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory.
"...a good source for a one-semester topics course for graduate students with basic experience in topology....Each chapter of the book contains well-selected problems, which makes it even more valuable for work with students. To sum up, the book is a very good addition to the literature." Serge L. Tabachnikov, Mathematical Reviews
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. This text develops the elementary theory of Artin Braid groups, both geometrically and via homotopy theory, and discusses the link between knot theory and combinatorics of braid groups through Markov's theorem. A detailed investigation of polynomial covering maps is also discussed. Series: London Mathematical Society Student Texts. Num Pages: 202 pages, black & white illustrations. BIC Classification: PBV. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 16. Weight in Grams: 432. . 1989. hardcover. . . . . N° de réf. du vendeur V9780521384797
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