Lectures on Geometry

This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. It is intended to be the first in an occasional series of volumes of CMI lectures. Although not explicitly linked, the topics in this inaugural volume have a common flavour and a common appeal to all who are interested in recent developments in geometry. They are intended to be accessible to all who work in this general area, regardless of their own particular research interests.

CONTENTS
Two Lectures on the Jones Polynomial and Khovanov Homology, Edward Witten
Elementary Knot Theory, Marc Lackenby
Cube Complexes, Subgroups of Mapping Class Groups and Nilpotent Genus, Martin R. Bridson
Polyfolds and Fredholm Theory, Helmut Hofer
Maps, Sheaves and K3 Surfaces, Rahul Pandharipande

Available from Oxford University Press.

Authors: Edward Witten, Martin Bridson, Helmut Hofer, Marc Lackenby, Rahul Pandharipande