Ordering Braids
ene 2008 · Mathematical Surveys and Monographs Libro 148 · American Mathematical Soc.
Libro electrónico
323
Páginas
reportLas calificaciones y opiniones no están verificadas. Más información
Acerca de este libro electrónico
In the fifteen years since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several quite different approaches have been used to understand this phenomenon. This book is an account of those approaches, which involve such varied objects and domains as combinatorial group theory, self-distributive algebra, finite combinatorics, automata, low-dimensional topology, mapping class groups, and hyperbolic geometry. The remarkable point is that all these approaches lead to the same ordering, making the latter rather canonical. We have attempted to make the ideas in this volume accessible and interesting to students and seasoned professionals alike. Although the text touches upon many different areas, we only assume that the reader has some basic background in group theory and topology, and we include detailed introductions wherever they may be needed, so as to make the book as self-contained as possible. The present volume follows the book, Why are braids orderable?, written by the same authors and published in 2002 by the Societe Mathematique de France. The current text contains a considerable amount of new material, including ideas that were unknown in 2002.In addition, much of the original text has been completely rewritten, with a view to making it more readable and up-to-date.
Califica este libro electrónico
Cuéntanos lo que piensas.
Información de lectura
Smartphones y tablets
Instala la app de Google Play Libros para Android y iPad/iPhone. Como se sincroniza de manera automática con tu cuenta, te permite leer en línea o sin conexión en cualquier lugar.
Laptops y computadoras
Para escuchar audiolibros adquiridos en Google Play, usa el navegador web de tu computadora.
Lectores electrónicos y otros dispositivos
Para leer en dispositivos de tinta electrónica, como los lectores de libros electrónicos Kobo, deberás descargar un archivo y transferirlo a tu dispositivo. Sigue las instrucciones detalladas que aparecen en el Centro de ayuda para transferir los archivos a lectores de libros electrónicos compatibles.
