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 ... More

*Keywords: *
Nigel Hitchin,
spin geometry,
istanton equations,
monopole equations,
twister theory,
symplectic geometry,
integrables systems,
Higgs bundles,
Einstein metrics,
hyperkähler geometry

Print publication date: 2010 | Print ISBN-13: 9780199534920 |

Published to Oxford Scholarship Online: September 2010 | DOI:10.1093/acprof:oso/9780199534920.001.0001 |

Show Summary Details
## Front Matter

###
I Geometry and Physics: A Personal View

###
Nigel Hitchin

###
II Mathematical Work of Nigel Hitchin

###
Sir Michael Atiyah
Dedicated to Nigel Hitchin

###
III The Einstein‐Maxwell Equations, Extremal Kähler Metrics, and Seiberg‐Witten Theory

###
Claude LeBrun
Dedicated to Nigel Hitchin on the occasion of his 60th birthday

###
IV The Nahm Transform for Calorons

###
Benoit Charbonneau and Jacques Hurtubise
Dedicated to Nigel Hitchin on the occasion of his 60th birthday

###
V Nahm's Equations and Free‐Boundary Problems

###
Simon K. Donaldson
Dedicated to Nigel Hitchin, with gratitude and affection

###
VI Some Aspects of the Theory of Higgs Pairs

###
S. Ramanan
Dedicated to Nigel Hitchin

###
VII Mirror Symmetry, Hitchin's Equations, and Langlands Duality

###
Edward Witten
Dedicated to Nigel Hitchin on the occasion of his 60th birthday

###
VIII Higgs Bundles and Geometric Structures on Surfaces

###
William M. Goldman
Dedicated to Nigel Hitchin on the occasion of his 60th birthday

###
IX Locality of Holomorphic Bundles, and Locality in Quantum Field Theory

###
Graeme Segal
Dedicated to Nigel Hitchin, on his 60th birthday

###
X Toeplitz Operators and Hitchin's Projectively Flat Connection

###
Jørgen Ellegaard Andersen
Dedicated to Nigel Hitchin on the occasion of his 60th birthday

###
XI Towards a Non‐Linear Schwarz'S List

###
Philip Boalch
Dedicated to Nigel Hitchin for his 60th birthday

###
XII An Introduction to Bundle Gerbes

###
Michael K. Murray
Dedicated to Nigel Hitchin on the occasion of his 60th birthday

###
XIII Projective Linking and Boundaries of Positive Holomorphic Chains in Projective Manifolds, Part I

###
F. Reese Harvey and H. Blaine Lawson, Jr.
Dedicated to Nigel Hitchin in celebration of his 60th birthday

###
XIV Skyrmions and Nuclei

###
Nicholas S. Manton
Dedicated to Nigel Hitchin on the occasion of his 60th birthday

###
XV Mirror Symmetry of Fourier—Mukai Transformation for Elliptic Calabi—Yau Manifolds

###
Naichung Conan Leung and Shing‐Tung Yau
Dedicated to Nigel Hitchin on the occasion of his 60th birthday

###
XVI S‐Duality in HyperkäHler Hodge Theory

###
Tamás Hausel
To Nigel Hitchin for his 60th birthday

###
XVII Non‐Embedding and Non‐Extension Results in Special Holonomy

###
Robert L. Bryant
Dedicated to Nigel Hitchin with great admiration on the occasion of his 60th birthday

###
XVIII Branes on Poisson Varieties

###
Marco Gualtieri
Dedicated to Nigel Hitchin on the occasion of his 60th birthday

###
XIX Consistent Orientation of Moduli Spaces

###
Daniel S. Freed, Michael J. Hopkins, and Constantin Teleman
For Nigel, with admiration

## End Matter