The Many Facets of Geometry: A Tribute to Nigel Hitchin by Oscar Garcia-Prada

The Many Facets of Geometry: A Tribute to Nigel Hitchin

EditorOscar Garcia-Prada, Jean Pierre Bourguignon, Simon Salamon

Hardcover | July 17, 2010

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Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made fundamental contributions in areas as diverse as: spin geometry,instanton and monopole equations, twistor theory, symplectic geometry of moduli spaces, integrables systems, Higgs bundles, Einstein metrics, hyperkahler geometry, Frobenius manifolds, Painleve equations, special Lagrangian geometry and mirror symmetry, theory of grebes, and many more.He was previously Rouse Ball Professor of Mathematics at Cambridge University, as well as Professor of Mathematics at the University of Warwick, is a Fellow of the Royal Society and has been the President of the London Mathematical Society.The chapters in this fascinating volume, written by some of the greats in their fields (including four Fields Medalists), show how Hitchin's ideas have impacted on a wide variety of subjects. The book grew out of the Geometry Conference in Honour of Nigel Hitchin, held in Madrid, with someadditional contributions, and should be required reading for anyone seeking insights into the overlap between geometry and physics.

About The Author

Oscar Garcia-Prada is with the Instituto de Ciencias Matematicas, Consejo Superior de Investigaciones Cientificas, Madrid, Spain. Jean Pierre Bourguignon is with the Institut des Hautes Etudes Scientifiques, France. Simon Salamon is with the Dipartimento di Matematica, Politecnico de Torino, Italy.
Moduli Spaces
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Title:The Many Facets of Geometry: A Tribute to Nigel HitchinFormat:HardcoverDimensions:464 pages, 9.21 × 6.14 × 0.01 inPublished:July 17, 2010Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199534926

ISBN - 13:9780199534920

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Table of Contents

Preface1. Nigel Hitchin: Geometry and Physics - a personal view2. Michael Atiyah: The Mathematical Work of Nigel Hitchin3. Claude LeBrun: The Einstein-Maxwell Equations, Extremal Kahler Metrics, and Seiberg-Witten Theory4. Benoit Charbonneau and Jacques Hurtubise: The Nahm Transform for Calorons5. S. K. Donaldson: Nahm's Equations and Free Boundary Problems6. S. Ramanan: Some Aspects of the Theory of Higgs Pairs7. Edward Witten: Mirror Symmetry, Hitchin's Equations, and Langlands Duality8. William M. Goldman: Higgs Bundles and Geometric Structures on Surfaces9. Graeme Segal: The Locality of Holomorphic Bundles, and Locality in Quantum Field Theory10. Jorgen Ellegaard Andersen: Toeplitz Operators and Hitchin's Projectively Flat Connection11. Philip Boalch: Towards a Nonlinear Schwarz's List12. Michael K. Murray: An Introduction to Bundle Gerbes13. F. Reese Harvey and H. Blaine Lawson, Jr.: Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part I14. Nicholas S. Manton: Skyrmions and Nuclei15. Naichung Conan Leung and Shing Tung Yau: Mirror Symmetry of Fourier-Mukai Transformation for Elliptic Calabi-Yau Manifolds16. Tamas Hausel: S-duality in Hyperkahler Hodge Theory17. Robert L. Bryant: Nonembedding and Nonextension Results in Special Holonomy18. Marco Gualtieri: Branes on Poisson Varieties19. Daniel S. Freed, Michael J. Hopkins and Constantin Teleman: Consistent Orientation of Moduli SpacesIndex