Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces

This volume presents lectures from a significant symposium on low-dimensional manifolds, crucial for understanding various mathematical interactions. Geometry of Low-Dimensional Manifolds is essential for researchers.

The book Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces is a compilation of lectures and seminars from the LMS Durham Symposium. This symposium focused on the intricate geometry of low-dimensional manifolds, a field that experienced significant advancements during the 1990s. These breakthroughs have shed light on the interplay between various mathematical disciplines, including topology, differential and algebraic geometry, and mathematical physics.

Throughout the volume, readers will find contributions from distinguished experts who presented their insights during the symposium. These lectures not only highlight the latest research findings but also serve as an essential resource for those looking to understand the foundational concepts of low-dimensional geometry. The discussions within the book emphasize how different areas of mathematics can converge, providing a richer understanding of the subject.

As the only comprehensive expository source for much of the material covered, Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces is a vital tool for researchers and students alike. It aims to bridge the gap between theoretical advancements and practical applications in geometry and mathematical physics, making it an indispensable addition to any mathematician's library.