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Knots, Braids and Mapping Class Groups-papers Dedicated to Joan S. Birman by Jane Gilman & William Menasco & Xiao-Song Lin
This volume presents papers from mathematicians of various specialties on knots, braids and mapping class groups, a subject which, although changed since Joan Birman's original work, brought together a diversity of research.There are a number of specialties in low-dimensional topology that can find in their "family tree" a common ancestry in the theory of surface mappings. These include knot theory as studied through the use of braid representations, and 3-manifolds as studied through the use of Heegaard splittings. The study of the surface mapping class group (the modular group) is of course a rich subject in its own right, with relations to many different fields of mathematics and theoretical physics. However, its most direct and remarkable manifestation is probably in the vast area of low-dimensional topology. Although the scene of this area has been changed dramatically and experienced significant expansion since the original publication of Professor Joan Birman's seminal work,Braids, Links, and Mapping Class Groups(Princeton University Press), she brought together mathematicians whose research span many specialties, all of common lineage. The topics covered are quite diverse. Yet they reflect well the aim and spirit of the conference: to explore how these various specialties in low-dimensional topology have diverged in the past 20-25 years, as well as to explore common threads and potential future directions of development. This volume is dedicated to Joan Birman by her colleagues with deep admiration and appreciation of her contribution to low-dimensional topology. |
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| Author(s) : | Format : Paperback Book |
| ISBN-10 : 0821829661 | ISBN-13 : 9780821829660 |
| RRP : £21.25 | Best available price : £17.64 / $25.49 |
| Prices as of : 22/07/2008 02:41:13 PM BST check live prices | |
Product Details:
Series Title : AMS/IP Studies in Advanced Mathematics
Country Publication : United States
Publication Date : 14/02/2002
Publisher : American Mathematical Society
Page Length : 176mm
Page Size : 241mm