Softcover ISBN: | 978-2-85629-835-0 |
Product Code: | AST/378 |
List Price: | $67.00 |
AMS Member Price: | $53.60 |
Softcover ISBN: | 978-2-85629-835-0 |
Product Code: | AST/378 |
List Price: | $67.00 |
AMS Member Price: | $53.60 |
-
Book DetailsAstérisqueVolume: 378; 2016; 175 ppMSC: Primary 20; 57
Since the braid group and the mapping class group were defined in the first half of the last century, mathematicians have atempted, in vain, to compute the endomorphisms for both. In addition, each partial result in this direction has seemed to confirm a tight connection between the braid group and the mapping class group, without revealing the nature of this connection.
In this paper, the author changes the point of view: determining all the homomorphisms from the braid group to the mapping class group via Thurston's theory. He explains their geometric nature and shows that they are almost all embeddings.
Thanks to these new results, the author has found answers to these questions in a unified way.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
ReadershipGraduate students and research mathematicians interested in the braid group and mapping class group.
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Additional Material
- Requests
Since the braid group and the mapping class group were defined in the first half of the last century, mathematicians have atempted, in vain, to compute the endomorphisms for both. In addition, each partial result in this direction has seemed to confirm a tight connection between the braid group and the mapping class group, without revealing the nature of this connection.
In this paper, the author changes the point of view: determining all the homomorphisms from the braid group to the mapping class group via Thurston's theory. He explains their geometric nature and shows that they are almost all embeddings.
Thanks to these new results, the author has found answers to these questions in a unified way.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Graduate students and research mathematicians interested in the braid group and mapping class group.