Equivariant Principal ∞-Bundles

Hisham Sati is Professor of Mathematics at NYU Abu Dhabi and the founding director of the Center for Quantum and Topological Systems. His interdisciplinary research spans mathematical physics, algebraic topology, and differential geometry, and their interactions through fundamental physical theories. He has delivered the Adams Memorial Lecture in Topology. Together with Schreiber, he is coauthor of the monograph 'The Character Map in Non-Abelian Cohomology' (2023) and co-editor of the AMS collection 'Mathematical Foundations of Quantum Field and Perturbative String Theory' (2011). Urs Schreiber is Research Scientist at NYU Abu Dhabi, specializing in the mathematical foundations of quantum field theory. His work applies algebraic topology and geometric homotopy theory to fundamental physics, including topological quantum technology. He is a cocreator of the nLab, a research wiki for math and physics. Together with Sati, he is coauthor of the monograph 'The Character Map in Non-Abelian Cohomology' (2023) and co-editor of the AMS collection 'Mathematical Foundations of Quantum Field and Perturbative String Theory' (2011).

• What this book is about; Part I. Introduction: 1. Introduction; Part II. In Topological Spaces: 2. Equivariant topology; 3. Equivariant principal bundles; Part III. In Cohesive ∞-Stacks: 4. Equivariant ∞-topos theory; 5. Equivariant principal ∞-bundles; Part IV. Examples and Applications: 6. Examples and applications; References; Index.