The Many Facets of Geometry
A Tribute to Nigel Hitchin
Edited by Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon
Table of Contents
Preface
1. Geometry and Physics - a personal view, Nigel Hitchin
2. The Mathematical Work of Nigel Hitchin, Michael Atiyah
3. The Einstein-Maxwell Equations, Extremal Kähler Metrics, and Seiberg-Witten Theory, Claude LeBrun
4. The Nahm Transform for Calorons, Benoit Charbonneau & Jacques Hurtubise
5. Nahm's Equations and Free Boundary Problems, S. K. Donaldson
6. Some Aspects of the Theory of Higgs Pairs, S. Ramanan
7. Mirror Symmetry, Hitchin's Equations, and Langlands Duality, Edward Witten
8. Higgs Bundles and Geometric Structures on Surfaces, William M. Goldman
9. The Locality of Holomorphic Bundles, and Locality in Quantum Field Theory, Graeme Segal
10. Toeplitz Operators and Hitchin's Projectively Flat Connection, Jørgen Ellegaard Andersen
11. Towards a Nonlinear Schwarz's List, Philip Boalch
12. An Introduction to Bundle Gerbes, Michael K. Murray
13. Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part I, F. Reese Harvey & H. Blaine Lawson, Jr.
14. Skyrmions and Nuclei, Nicholas S. Manton
15. Mirror Symmetry of Fourier-Mukai Transformation for Elliptic Calabi-Yau Manifolds, Naichung Conan Leung & Shing Tung Yau
16. S-duality in Hyperkähler Hodge Theory, Tamás Hausel
17. Nonembedding and Nonextension Results in Special Holonomy, Robert L. Bryant
18. Branes on Poisson Varieties, Marco Gualtieri
19. Consistent Orientation of Moduli Spaces, Daniel S. Freed, Michael J. Hopkins & Constantin Teleman
Index