AMS/IP Studies in Advanced Mathematics
Volume: 24; 2002; 176 pp; Softcover
MSC: Primary 42;
Print ISBN: 978-0-8218-2966-0
Product Code: AMSIP/24
List Price: $44.00
Individual Member Price: $35.20
You may also like
Knots, Braids, and Mapping Class Groups—Papers Dedicated to Joan S. BirmanShare this page
Edited by Jane Gilman; William W. Menasco; Xiao-Song Lin
A co-publication of the AMS and International Press of Boston, Inc.
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. But 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 in low-dimensional topology held in honor of Joan S.Birman's 70th birthday at Columbia University (New York, NY), which was 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.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
Table of Contents
Table of Contents
Knots, Braids, and Mapping Class Groups -- Papers Dedicated to Joan S. Birman
Graduate students and research mathematicians interested in geometry and topology.