This book is the fifth and final volume of Raoul Bott¿s Collected Papers. It collects all of Bott¿s published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. The volume also contains...

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics,...

This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the...

Introductory Lectures on Equivariant Cohomology von Tu, Loring W.

This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the...