# Books written by Karen Uhlenbeck.

For her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics, Karen Uhlenbeck was awarded the 2019 Abel Prize.

## Instantons and Four-Manifolds

This book exposes the beautiful confluence of deep techniques and ideas from mathematical physics and the topological study of the differentiable structure of compact four-dimensional manifolds, compact spaces locally modeled on the world in which we live and operate.

## Surveys in Differential Geometry, Vol. 4: Integrable Systems

The survey volumes serve as continuing references, inspirations for new research, and introductions to the variety of topics of interest to differential geometers.

## Geometry and Quantum Field Theory

Exploring topics from classical and quantum mechanics and field theory, this book is based on lectures presented in the Graduate Summer School at the Regional Geometry Institute in Park City, Utah, in 1991.

## Geometry, Topology and Physics

Proceedings of the First Brazil-USA Workshop held in Campinas, Brazil, June 30-July 7, 1996