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A Celebration of the Mathematical Legacy of Raoul Bott
About this Title
P. Robert Kotiuga, Boston University, Boston, MA, Editor
Publication: CRM Proceedings and Lecture Notes
Publication Year:
2010; Volume 50
ISBNs: 978-0-8218-4777-0 (print); 978-1-4704-1584-6 (online)
DOI: https://doi.org/10.1090/crmp/050
MathSciNet review: MR2640503
MSC: Primary 58-06; Secondary 00B25, 53-06
ReadershipTable of Contents
Front/Back Matter
Chapters
Montréal, the 1940s, and mathematical prehistory
- My parents’ Montréal years and growing up with Raoul as my father
- Raoul Bott, McGill, the 1940s
- Iron rings, Doctor Honoris Causa Raoul Bott, Carl Herz, and a hidden hand
- The Bott–Duffin synthesis of electrical circuits
Early students and colleagues
- Raoul Bott as we knew him
- Working with Raoul Bott: From geometry to physics
- The algorithmic side of Riemann’s mathematics
- Actions of Lie groups and Lie algebras on manifolds
- PDE from the point of view of multiplier ideals
- Dirac operator and $K$-theory for discrete groups
- The Lefschetz principle, fixed point theory, and index theory
- A new look at the theory of levels
- On the space of morphisms between Étale groupoids
Localization, equivariance and outgrowths of Morse theory and periodicity
- Raoul Bott as we knew him
- Loop products on connected sums of projective spaces
- Equivariant cohomology and reflections
- Connectedness of level sets of the moment map for torus actions on the based loop group
- Computing characteristic numbers using fixed points
- From minimal geodesics to supersymmetric field theories
Dualities and interactions with quantum field theory