The many facets of geometry: a tribute to Nigel Hitchin / ed. by O.García-Prada, J.P.Bourguignon, S.Salamon. - Oxford: Oxford University Press, 2010. - xviii, 434 p.: ill., port. - (Oxford science publications). - Incl. bibl. ref. - Ind.: p.421-434. - ISBN 978-0-19-953492-0  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

FULL CONTENTS .................................................. ix PREFACE ....................................................... xvi LIST OF EDITORS AND CONTRIBUTORS ............................. xvii 1 Geometry and physics: a personal view ........................ 1 Nigel Hitchin 2 Mathematical work of Nigel Hitchin .......................... 11 Sir Michael Atiyah 3 The Einstein—Maxwell equations, extremal Kahler metrics, and Seiberg—Witten theory ................................... 17 Claude LeBrun 4 The Nahm transform for calorons ............................. 34 Benoit Charbonneau and Jacques Hurtubise 5 Nahm's equations and free-boundary problems ................. 71 Simon K. Donaldson 6 Some aspects of the theory of Higgs pairs ................... 92 S. Ramanan 7 Mirror symmetry, Hitchin's equations, and Langlands duality .................................................... 113 Edward Witten 8 Higgs bundles and geometric structures on surfaces ......... 129 William M. Goldman 9 Locality of holomorphic bundles, and locality in quantum field theory ............................................... 164 Graeme Segal 10 Toeplitz operators and Hitchin's projectively flat connection ................................................. 177 Jørgen Ellegaard Andersen 11 Towards a non-linear Schwarz's list ........................ 210 Philip Boalch 12 An introduction to bundle gerbes ........................... 237 Michael K. Murray 13 Projective linking and boundaries of positive holomorphic chains in projective manifolds, part I ..................... 261 F. Reese Harvey and H. Blaine Lawson, Jr. 14 Skyrmions and nuclei ....................................... 281 Nicholas S. Manton 15 Mirror symmetry of Fourier—Mukai transformation for elliptic Calabi—Yau manifolds .............................. 299 Naichung Conan Leung and Shing-Tung Yau 16 S-duality in hyperkahler Hodge theory ...................... 324 Tamás Hausel 17 Non-embedding and non-extension results in special holonomy ................................................... 346 Robert L. Bryant 18 Branes on Poisson varieties ................................ 368 Marco Gualtieri 19 Consistent orientation of moduli spaces .................... 395 Daniel S. Freed, Michael J. Hopkins, and Constantin Teleman INDEX ......................................................... 421