|
|
|
|
| LEADER |
00000cam a2200000 a 4500 |
| 001 |
ocn664571338 |
| 003 |
OCoLC |
| 005 |
20240909213021.0 |
| 006 |
m o d |
| 007 |
cr cnu---unuuu |
| 008 |
100920s2010 nyuac ob 011 0 eng d |
| 040 |
|
|
|a N$T
|b eng
|e pn
|c N$T
|d YDXCP
|d OCLCQ
|d CUS
|d OCLCF
|d OCLCQ
|d OCLCO
|d NLGGC
|d EBLCP
|d OCLCQ
|d STBDS
|d VGM
|d CNCGM
|d U3W
|d OCLCO
|d OCLCQ
|d YOU
|d OCLCQ
|d K6U
|d OCLCO
|d OCLCQ
|d SFB
|d OCLCQ
|d OCLCO
|
| 019 |
|
|
|a 922970114
|
| 020 |
|
|
|a 9780191567575
|q (electronic bk.)
|
| 020 |
|
|
|a 0191567574
|q (electronic bk.)
|
| 020 |
|
|
|a 9780191716010
|
| 020 |
|
|
|a 0191716014
|
| 035 |
|
|
|a (OCoLC)664571338
|z (OCoLC)922970114
|
| 050 |
|
4 |
|a QA641
|b .M33 2010eb
|
| 072 |
|
7 |
|a MAT
|x 012000
|2 bisacsh
|
| 049 |
|
|
|a HCDD
|
| 245 |
0 |
4 |
|a The many facets of geometry :
|b a tribute to Nigel Hitchin /
|c edited by Oscar García-Prada, Jean Pierre Bourguignon, Simon Salamon.
|
| 260 |
|
|
|a New York :
|b Oxford University Press,
|c 2010.
|
| 300 |
|
|
|a 1 online resource (xviii, 434 pages) :
|b illustrations, 1 portrait
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 490 |
1 |
|
|a Oxford science publications
|
| 588 |
0 |
|
|a Print version record.
|
| 505 |
0 |
|
|a CONTENTS -- PREFACE -- LIST OF EDITORS AND CONTRIBUTORS -- 1 Geometry and physics: a personal view -- 2 Mathematical work of Nigel Hitchin -- 3 The Einstein�Maxwell equations, extremal K�hler metrics, and Seiberg�Witten theory -- 4 The Nahm transform for calorons -- 4.1 Introduction -- 4.2 The work of Nye and Singer -- 4.2.1 Two types of invariant self-dual gauge fields on R4 -- 4.2.2 The Nahm transform -- 4.2.3 Involutivity of the transforms -- 4.3 Twistor transform for calorons/Kac�Moody monopoles -- 4.3.1 Upstairs: twistor transform for calorons
|
| 505 |
8 |
|
|a 4.3.2 Downstairs: caloron as a Kacâ€?Moody monopole4.4 From Nahm's equations to spectral data, and back -- 4.4.1 Flows of sheaves -- 4.4.2 Boundary conditions -- 4.5 Closing the circle -- 4.5.1 Starting with a caloron -- 4.5.2 Starting with a solution to Nahm's equation -- 4.5.3 From Nahm to caloron to Nahm to caloron -- 4.6 Moduli -- 5 Nahm's equations and free-boundary problems -- 5.1 Introduction -- 5.2 An infinite-dimensional Riemannian manifold -- 5.3 Three equivalent problems -- 5.3.1 Î? equation â?? Ï? equation -- 5.3.2 Î? equation â?? U equation
|
| 505 |
8 |
|
|a 5.3.3 U equation â?? Î? equation5.4 Existence results and discussion -- 5.4.1 Mongeâ€?AmpÃ?re and the results of Chen -- 5.4.2 Comparison with the free-boundary literature -- 5.4.3 Degenerate case -- 5.5 Relation with Nahm's equations -- 6 Some aspects of the theory of Higgs pairs -- 6.1 Moduli of vector bundles -- 6.2 Hecke correspondence -- 6.3 Moduli of Higgs pairs -- 6.4 Higgs pairs and the fundamental group -- 6.5 Non-abelian Hodge theory -- 6.6 Hitchin morphism -- 6.7 Quantization -- 6.8 Hecke transformation and Hitchin discriminant
|
| 505 |
8 |
|
|a 6.9 Hitchin component6.10 Reductive groups and principal bundles -- 6.11 Reductive groups and Higgs pairs -- 6.12 Real forms -- 7 Mirror symmetry, Hitchin's equations, and Langlands duality -- 7.1 A-model and B-model -- 7.2 Mirror symmetry and Hitchin's equations -- 7.3 Hitchin fibration -- 7.3.1 A few hints -- 7.4 Ramification -- 7.5 Wild ramification -- 7.6 Four-dimensional gauge theory and stacks -- 7.6.1 Stacks -- 8 Higgs bundles and geometric structures on surfaces -- 8.1 Introduction -- 8.2 Representations of the fundamental group
|
| 505 |
8 |
|
|a 8.2.1 Closed surface groups8.2.2 Representation variety -- 8.2.3 Symmetries -- 8.2.4 Deformation space -- 8.3 Abelian groups and rank 1 Higgs bundles -- 8.3.1 Symplectic vector spaces -- 8.3.2 Multiplicative characters: G = C* -- 8.3.3 Jacobi variety of a Riemann surface -- 8.4 Stable vector bundles and Higgs bundles -- 8.5 Hyperbolic geometry: G = PSL(2, R) -- 8.5.1 Geometric structures -- 8.5.2 Relation to the fundamental group -- 8.5.3 Examples of hyperbolic structures -- 8.6 Moduli of hyperbolic structures and representations
|
| 520 |
8 |
|
|a This title celebrates the academic career of Professor Nigel Hitchin - one of the most influential figures in the field of differential and algebraic geometry.
|
| 504 |
|
|
|a Includes bibliographical references and index.
|
| 650 |
|
0 |
|a Geometry, Differential.
|
| 650 |
|
0 |
|a Geometry, Algebraic.
|
| 650 |
|
0 |
|a Mathematical physics.
|
| 650 |
|
7 |
|a MATHEMATICS
|x Geometry
|x General.
|2 bisacsh
|
| 650 |
|
7 |
|a Geometry, Algebraic
|2 fast
|
| 650 |
|
7 |
|a Geometry, Differential
|2 fast
|
| 650 |
|
7 |
|a Mathematical physics
|2 fast
|
| 700 |
1 |
|
|a Hitchin, N. J.
|q (Nigel J.),
|d 1946-
|e honouree.
|
| 700 |
1 |
|
|a García-Prada, O.
|q (Oscar),
|d 1960-
|e editor.
|
| 700 |
1 |
|
|a Bourguignon, J.-P.
|q (Jean-Pierre),
|d 1947-
|e editor.
|
| 700 |
1 |
|
|a Salamon, Simon,
|e editor.
|
| 776 |
0 |
8 |
|i Print version:
|t Many facets of geometry.
|d New York : Oxford University Press, 2010
|z 9780199534920
|w (DLC) 2009034148
|w (OCoLC)435628712
|
| 830 |
|
0 |
|a Oxford science publications.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://academic.oup.com/book/2272
|y Click for online access
|
| 903 |
|
|
|a OUP-SOEBA
|
| 994 |
|
|
|a 92
|b HCD
|