**Proceedings of Symposia in Pure Mathematics**

Volume: 71;
2003;
357 pp;
Hardcover

MSC: Primary 57; 53;

Print ISBN: 978-0-8218-3507-4

Product Code: PSPUM/71

List Price: $92.00

Individual Member Price: $73.60

**Electronic ISBN: 978-0-8218-9376-0
Product Code: PSPUM/71.E**

List Price: $92.00

Individual Member Price: $73.60

# Topology and Geometry of Manifolds

Share this page *Edited by *
*Gordana Matić; Clint McCrory*

Since 1961, the Georgia Topology Conference has been held every eight years to
discuss the newest developments in topology. The goals of the conference are to
disseminate new and important results and to encourage interaction among
topologists who are in different stages of their careers. Invited speakers are
encouraged to aim their talks to a broad audience, and several talks are
organized to introduce graduate students to topics of current interest. Each
conference results in high-quality surveys, new research, and lists of unsolved
problems, some of which are then formally published. Continuing in this 40-year
tradition, the AMS presents this volume of articles and problem lists from the
2001 conference. Topics covered include symplectic and contact topology,
foliations and laminations, and invariants of manifolds and knots.

Articles of particular interest include John Etnyre's “Introductory Lectures
on Contact Geometry”, which is a beautiful expository paper that explains the
background and setting for many of the other papers. This is an excellent
introduction to the subject for graduate students in neighboring fields.
Etnyre and Lenhard Ng's “Problems in Low-Dimensional Contact Topology” and
Danny Calegari's extensive paper,“Problems in Foliations and Laminations of
3-Manifolds”, are carefully selected problems in keeping with the tradition of
the conference. They were compiled by Etnyre and Ng and by Calegari with the
input of many who were present. This book provides material of current interest to
graduate students and research mathematicians interested in the geometry and
topology of manifolds.

#### Table of Contents

# Table of Contents

## Topology and Geometry of Manifolds

- Contents v6 free
- Preface vii8 free
- Rozansky-Witten theory 110 free
- Some recent applications of the barycenter method in geometry 1928
- The Lawrence-Krammer representation 5160
- Topological properties of properly embedded minimal surfaces in R³ 6978
- Introductory lectures on contact geometry 8190
- On the coarse classification of tight contact structures 109118
- On the classification of tight contact structures 121130
- Four dimensions from two in symplectic topologyh 153162
- On the integer valued SU(3) Casson invariant 209218
- On Donaldson and Seiberg-Witten invariants 237246
- Quandle homology theory and cocycle knot invariants 249258
- Boundary train tracks of laminar branched surfaces 269278
- Strongly irreducible surface automorphisms 287296
- Problems in foliations and laminations of 3–manifolds 297306
- Problems in low dimensional contact topology 337346

#### Readership

Graduate students and research mathematicians interested in the geometry and topology of manifolds.