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The Many Facets of Geometry
A Tribute to Nigel Hitchin
Edited by Oscar Garcia-Prada, Jean Pierre Bourguignon, and Simon Salamon
456 pages
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20 black and white line illustrations
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234x156mm
978-0-19-953492-0
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Hardback
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01 July 2010
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- A fitting tribute to Nigel Hitchin, who has had an immense influence on the field of Differential and Algebraic Geometry
- Contributions from some of the World's leading Geometers, including four Fields Medallists
- Broad range of topics covered
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, hyperkähler geometry, Frobenius manifolds, Painlevé 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 some additional contributions, and should be required reading for anyone seeking insights into the overlap between geometry and physics.Readership: Graduates and researchers in geometry, mathematics, and mathematical physics.
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Edited by Oscar Garcia-Prada, Instituto de Ciencias Matematicas, Consejo Superior de Investigaciones Cientificas, Madrid, Spain, Jean Pierre Bourguignon, Institut des Hautes Etudes Scientifiques, France, and Simon Salamon, Dipartimento di Matematica, Politecnico de Torino, Italy Contributors:
Jørgen Ellegaard Andersen; Michael Atiyah; Philip Boalch; Robert L. Bryant; Benoit Charbonneau;
S. K. Donaldson; Daniel S. Freed; Marco Gualtieri; William M. Goldman; F. Reese Harvey; Tamás Hausel; Nigel Hitchin; Michael J. Hopkins; Jacques Hurtubise; H. Blaine Lawson, Jr.; Claude LeBrun; Naichung Conan
Leung; Nicholas S. Manton; Michael K. Murray; S. Ramanan; Graeme Segal; Constantin Teleman; Edward Witten; Shing Tung Yau
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Preface
1: Nigel Hitchin: Geometry and Physics - a personal view
2: Michael Atiyah: The Mathematical Work of Nigel Hitchin
3: Claude LeBrun: The Einstein-Maxwell Equations, Extremal Kähler Metrics, and Seiberg-Witten Theory
4: Benoit Charbonneau & Jacques Hurtubise: The Nahm Transform for Calorons
5: S. K. Donaldson: Nahm's Equations and Free Boundary Problems
6: S. Ramanan: Some Aspects of the Theory of Higgs Pairs
7: Edward Witten: Mirror Symmetry, Hitchin's Equations, and Langlands Duality
8: William M. Goldman: Higgs Bundles and Geometric Structures on Surfaces
9: Graeme Segal: The Locality of Holomorphic Bundles, and Locality in Quantum Field Theory
10: Jørgen Ellegaard Andersen: Toeplitz Operators and Hitchin's Projectively Flat Connection
11: Philip Boalch: Towards a Nonlinear Schwarz's List
12: Michael K. Murray: An Introduction to Bundle Gerbes
13: F. Reese Harvey & H. Blaine Lawson, Jr.: Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part I
14: Nicholas S. Manton: Skyrmions and Nuclei
15: Naichung Conan Leung & Shing Tung Yau: Mirror Symmetry of Fourier-Mukai Transformation for Elliptic Calabi-Yau Manifolds
16: Tamás Hausel: S-duality in Hyperkähler Hodge Theory
17: Robert L. Bryant: Nonembedding and Nonextension Results in Special Holonomy
18: Marco Gualtieri: Branes on Poisson Varieties
19: Daniel S. Freed, Michael J. Hopkins & Constantin Teleman: Consistent Orientation of Moduli Spaces
Index
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The specification in this catalogue, including without limitation price, format, extent, number of illustrations, and month of publication, was as accurate as possible at the time the catalogue was compiled. Occasionally, due to the nature of some contractual restrictions, we are unable to ship a specific product to a particular territory. Jacket images are provisional and liable to change before publication.
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