Princeton University Press - Equivariant Cohomology AMS-204

Explore the fundamentals of algebraic topology with Introductory Lectures on Equivariant Cohomology. Part of the Annals of Mathematics Studies series (volume 204), this text provides a clear and accessible account of a central topic in the field. Equivariant cohomology focuses on the algebraic topology of spaces that involve group actions, effectively studying the symmetries of spaces. While these concepts have been applied to K-theory and algebraic geometry, this book focuses on the algebraic topology perspective where the proofs are simplest and the concepts are most transparent. Readers will gain insight into essential mathematical applications, including the equivariant localization theorem of Atiyah-Bott and Berline-Vergne. This volume serves as a foundational resource for students and researchers looking to understand how symmetries influence topological structures.