Publication list of Nigel Hitchin

88. Deformations of holomorphic Poisson manifolds, Moscow Mathematical Journal (to appear) arXiv:1105.4775

87. Generalized holomorphic bundles and the B-field action, Journal of Geometry and Physics 61 (2011), 352--362. arXiv:1010.0207

86. Lectures on generalized geometry, in "Surveys in Differential Geometry Vol. 16", N.- C. Leung and S.-T. Yau, (eds.), International Press, Cambridge, Mass. (2011), 79 -- 124. arXiv:1008.0973

85. (with M F Atiyah and R Dijkgraaf) Geometry and Physics, Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 368 (2010) 913--926.

84. Stable bundles and polyvector fields, in "Complex and Dierential Geometry", W. Ebeling et al (eds.) Springer Proceedings in Mathematics 8, 135--156, Springer Verlag, Heidelberg (2011). arXiv:1004.5313

83. The Atiyah-Singer index theorem in ``The Abel Prize: The first five years" (H. Holden and R. Piene eds.), 105 -- 133, Springer Verlag, Heidelberg (2009).

82. Poisson modules and generalized geometry, arXiv:0905.3227

81. Vector bundles and the icosahedron, in "Vector bundles and complex geometry" O.Garcia- Prada et al (eds.) Contemporary Mathematics 522, 71 -- 88, American Mathematical Society, Providence RI, (2010). arXiv:0906.4208

80. Einstein metrics and magnetic monopoles, in ``Géométrie différentielle, physique mathématique, mathématiques et société (I)", (O. Hijazi, ed.) Astérisque 321 5--29 Société Mathématiques de France (2008).

79. Spherical harmonics and the icosahedron, in "Groups and symmetries", 215--231, CRM Proc. Lecture Notes 47 Amer. Math. Soc., Providence, RI, (2009). arXiv:0706.0088

78. Quaternionic Kähler moduli spaces, in ``Riemannian Topology and Geometric Structures on Manifolds", K. Galicki and S.R. Simanca (eds.), Progress in Mathematics 271 49--61, Birkhäuser (2008).

77. Higgs bundles in the vector representation, in ``Moduli spaces and vector bundles", S.Bradlow, L. Brambila-Paz, O.Garcia-Prada and S.Ramanan (eds.), London Mathematical Society Lecture Notes 359 473--483, Cambridge University Press, Cambridge (2009).

76. Interaction between mathematics and physics, ARBOR Ciencia, Pensamiento y Cultura, CLXXXIII 725 (2007).

75. Langlands duality and $G_2$ spectral curves, Quart. J. Math. Oxford. 58 (2007) 319--344, MR2354922, arXiv:math/0611524

74. Bihermitian metrics on Del Pezzo surfaces, Journal of Symplectic Geometry 5, (2007) 1--7. MR2371181 arXiv: math.DG/0608213

73. Generalized geometry -- an introduction, to appear in ``IRMA Lectures in Mathematics and Theoretical Physics", V.Cortes (ed.), European Mathematical Society.

72. Low dimensional geometry -- a variational approach, (notes by M.Gualtieri), in ``Perspectives in Geometry", V.Apostolov, A.Dancer, N.Hitchin & M.Wang (eds.), CRM Proceedings and Lecture Notes, V. Volume 40, American Mathematical Society, Providence (2006).

71. Brackets, forms and invariant functionals, Asian J. Math 10 (2006) 541--560.,MR2253158, arXiv: math.DG/0508618

70. Instantons, Poisson structures and generalized Kähler geometry, Commun. Math. Phys. 265 (2006) 131 -- 317,MR2217300, arXiv:math.DG/0503432

69. Shiing-Shen Chern: 1911--2004, Bulletin of the London Math. Soc, 38 (2006) 507--519. MR2239046

68. Arthur Geoffrey Walker: 1909--2001, Biographical Memoirs of the Royal Society, (to appear)

67. Geometry in Oxford 1960--1990, ``Matematica e Cultura" Vol. 1, Giulio Einaudi Editore, Torino (to appear)

66.(with S. Cherkis), Gravitational instantons of type $D_k$ , Comm. Math. Phys. 260 (2005), no. 2, 299--317. MR2177322, arXiv:hep-th/0310084.

65. What is a gerbe? Notices of the AMS, 50 No 2 (2003), 218 -- 219.

64. A lecture on the octahedron , Bulletin of the London Math Soc, 35 (2003) 577--600. MR1989487

63. Special holonomy and beyond, in ``Strings and Geometry", M. Douglas, J. Gauntlett M. Gross (eds.), Clay Mathematics Proceedings Vol 3, American Mathematical Society, Providence (2005), MR2103721

62. Generalized Calabi-Yau manifolds, Quart. J. Math. Oxford, 54 (2003) 281--308, MR2013140, arXiv:math.DG/0209099

61. Stable forms and special metrics, in "Global Differential Geometry: The Mathematical Legacy of Alfred Gray";, M. Fernández and J. A. Wolf (eds.), Contemporary Mathematics 288, American Mathematical Society, Providence (2001). , arXiv:math.DG/0107101

60. The geometry of three-forms in six dimensions, J. Differential Geometry 55 (2000), 547 - 576. , arXiv:math.DG/0010054

59. The Wess-Zumino term for a harmonic map, Journal für die reine und angewandte Mathematik 543 (2002) 83 -101. , arXiv:math.DG/0008038

58. Global Differential Geometry, in " Mathematics Unlimited - 2001 and Beyond", (B.Enquist and W.Schmid (Eds)), Springer Verlag, Heidelberg (2000) 577 - 591.

57. Sir Michael Atiyah: a brief biography in "The Founders of Index Theory", S-T Yau (ed.), International Press, Boston (2004)

56. -cohomology of hyperkähler quotients. Commun. Math. Phys. 211 (2000), 153 -165. 2001c:53060, arXiv:math.DG/9909002

55. (with Justin Sawon) Curvature and characteristic numbers of hyperkähler manifolds, Duke Mathematical Journal 106 (2001), 599 - 615. MR 2001m:3A53077, arXiv:math.DG/9908114

54. Lectures on special Lagrangian submanifolds, in " Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds" ;, Cumrun Vafa & S-T Yau (eds.), Studies in Advanced Mathematics 23, AMS/International Press, Providence (2001), 151 - 182. MR1876068, arXiv:math.DG/9907034

53. The Dirac operator, in " Invitations to Geometry and Topology'', M.Bridson and S.Salamon (eds.), Oxford Graduate Texts in Mathematics, Oxford University Press, Oxford (2002), 208 - 232. MR1967750

52. (with G.B.Segal and R.S.Ward) " Integrable systems: Twistors, loop groups and Riemann surfaces'', Oxford Graduate Texts in Mathematics, Oxford University Press , Oxford (1999). MR 2001f:37089

51. The moduli space of complex Lagrangian submanifolds, Asian Journal of Mathematics, 3 (1999) 77 - 92. MR 2000m:32023, arXiv:math.DG/9901069

50. Integrable systems in Riemannian geometry, in " Surveys in Differential Geometry Vol. 4'', C.-L. Terng and K. Uhlenbeck, (eds.), International Press, Cambridge, Mass. (1999), 21 - 80. MR 2000j:53046

49. Hypercomplex manifolds and the space of framings, in " The Geometric Universe: Science, Geometry and the work of Roger Penrose'', S.A.Huggett et al (eds.), Oxford University Press, Oxford, (1998), 9 - 30. MR 99k:53093

48. The moduli space of special Lagrangian submanifolds, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 25 (1997), no. 3 - 4, 503 - 515 MR 2000c:32075, arXiv:dg-ga/9711002

47. Geometrical aspects of Schlesinger's equation, Journal of Geometry and Physics 457 (1997), 1 - 14. MR 99a:32023

46. Lectures on Frobenius manifolds, in " Gauge Theory and Symplectic Geometry'', J.Hurtubise & F.Lalonde (eds), NATO ASI Series C 488, Kluwer, Dordrecht (1997). MR 98f:58048

45. Einstein metrics and the eta-invariant, Bollettino UMI (7) 11-B Suppl. fasc. 2 (1997), 95 - 105. MR 98g:53085

44. Magnetic monopoles with Platonic symmetry, in " Moduli of vector bundles (Sanda, 1994; Kyoto, 1994)'', 55 - 63, Lecture Notes in Pure and Appl. Math., 179, Dekker, New York, 1996. MR 97h:32054

43. A new family of Einstein metrics, in " Manifolds and geometry (Pisa, 1993)'', 190 - 222, Sympos. Math., XXXVI, Cambridge Univ. Press, Cambridge, 1996. MR 97d:53050

42. Poncelet polygons and the Painlevé equations, in " Geometry and analysis (Bombay, 1992)'', 151 - 85, Oxford University Press, Bombay, 1996. 97d:32042

41. (with N S Manton and M K Murray) Symmetric monopoles, Nonlinearity 8 (1995), 661 - 692. MR 96j:53026, arXiv:dg-ga/9503016

40. Twistor spaces, Einstein metrics and isomonodromic deformations, J. Differential Geom. 42 (1995), 30 - 112. MR 96g:53057

39. " Vector bundles in algebraic geometry.'' Proceedings of the symposium held in Durham, 1993. Edited by N. J. Hitchin, P. E. Newstead and W. M. Oxbury. London Mathematical Society Lecture Note Series, 208. Cambridge University Press, Cambridge, 1995. +345 pp. ISBN: 0-521-49878-3 MR 96a:14003

38. Hyperkähler manifolds, Séminaire Bourbaki, Vol. 1991/92. Astérisque No. 206 (1992), Exp. No. 748, 3, 137-166. MR 94f:53087

37. Lie groups and Teichmüller space, Topology 31 (1992), 449 - 473. MR 93e:32023

36. The symplectic geometry of moduli spaces of connections and geometric quantization, in " Common trends in mathematics and quantum field theories (Kyoto, 1990).'' Progr. Theoret. Phys. Suppl. No. 102, (1991), 159 - 174. MR 93f:58089

35. (with M F Atiyah) " Geometriya i dinamika magnitnykh monopolei''. (Russian) [The geometry and dynamics of magnetic monopoles] Translated from the English and with a preface by O. V. Ogievetskii. " Mir'', Moscow, (1991). MR 92i:53023

34. Vector fields on the circle, in " Mechanics, analysis and geometry: 200 years after Lagrange'', North-Holland Delta Ser., North-Holland, Amsterdam, (1991), 359 - 378. MR 92e:17030

33. Geometric quantization of spaces of connections, in " Geometry of low-dimensional manifolds, 2 (Durham, 1989)'', London Math. Soc. Lecture Note Ser., 151, Cambridge Univ. Press, Cambridge, (1990) 97 - 100. MR 93k:58038

32. Hypersymplectic quotients, Atti della Accademia delle Scienze di Torino, Classe di Scienze Fisiche, Matematiche e Naturali, 124 Supp. (1990), 169 - 180.

31. The geometry and topology of moduli spaces, in " Global geometry and mathematical physics (Montecatini Terme, 1988)'', Lecture Notes in Math., 1451, Springer, Berlin, (1990), 1-48. MR 92a:58023

30. Flat connections and geometric quantization, Comm. Math. Phys. 131 (1990), 347-380. MR 91g:32022

29. Harmonic maps from a 2-torus to the 3-sphere, J. Differential Geom. 31 (1990), 627-710. MR 91d:58050

28. Gauge theory on Riemann surfaces, in " Lectures on Riemann surfaces (Trieste, 1987)'', 99-118, World Sci. Publishing, Teaneck, NJ, 1989. MR 92a:32024

27. Harmonic maps from to , in " Harmonic mappings, twistors, and -models (Luminy, 1986)'', 103-112, Adv. Ser. Math. Phys., 4, World Sci. Publishing, Singapore, 1988. MR 90b:58051

26. (with M F Atiyah) " The geometry and dynamics of magnetic monopoles.'' M. B. Porter Lectures. Princeton University Press, Princeton, NJ, 1988. viii+134 pp. ISBN: 0-691-08480-7 MR 89k:53067

25. " Monopoles, minimal surfaces and algebraic curves.'' Séminaire de Mathématiques Supérieures, 105. Presses de l'Université de Montréal, Montreal, PQ, 1987. 94 pp. ISBN: 2-7606-0801-8 MR 89h:58043

24. (with M K Murray) Spectral curves and the ADHM method, Comm. Math. Phys. 114 (1988), 463-474. MR 89f:53105

23. The self-duality equations on a Riemann surface, Proc. London Math. Soc. (3) 55 (1987), 59-126. MR 89a:32021

22. Stable bundles and integrable systems, Duke Math. J. 54 (1987), 91--114, MR 88i:58068

21. Monopole and vortex scattering, in " Field theory, quantum gravity and strings, II (Meudon/Paris, 1985/1986)'', 117-124, Lecture Notes in Phys., 280, Springer, Berlin-New York, (1987). MR 88i:53114

20. (with A. Karlhede, U. Lindström, M. Rocek) Hyperkähler metrics and supersymmetry, Comm. Math. Phys. 108 (1987), 535-589. MR 88g:53048

19. Metrics on moduli spaces, in " The Lefschetz centennial conference, Part I (Mexico City, 1984)'', 157-178, Contemp. Math., 58, Amer. Math. Soc., Providence, R.I., 1986. MR 87k:53106

18. (with M F Atiyah) Low-energy scattering of nonabelian magnetic monopoles, in " New developments in the theory and application of solitons. With discussion.'' Philos. Trans. Roy. Soc. London Ser. A 315 (1985), no. 1533, 459-469. MR 87j:53102

17. (with M F Atiyah) Low energy scattering of nonabelian monopoles, Phys. Lett. A 107 (1985), 21-25. MR 86e:53053

16. The geometry of monopoles, in Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), 541-547, PWN, Warsaw, 1984. MR 87d:53128

15. Twistor construction of Einstein metrics, in " Global Riemannian geometry'' (Durham, 1983), 115-125, Ellis Horwood Ser.: Math. Appl., Horwood, Chichester, 1984. MR 85m:53048

14. " Global Riemannian geometry''. Proceedings of the symposium held at the University of Durham, Durham, July 1983. Edited by T. J. Willmore and N. J. Hitchin. Ellis Horwood Series: Mathematics and its Applications. Ellis Horwood Ltd., Chichester; Halsted Press [John Wiley & Sons, Inc.], New York, 1984. MR 85g:53003

13. The Yang-Mills equations and the topology of 4-manifolds (after Simon Donaldson), Bourbaki seminar vol 1982/83, 167-178, Astérisque 105-106, Soc. Math. France, Paris (1983). MR 85a:58020

12. On the construction of monopoles, Commun. Math. Phys. 89 (1983) 145-190. MR 84m:53076

11. Monopoles and geodesics, Commun. Math. Phys. 83 (1982) 579-602. MR 84i:53071

10. Complex manifolds and Einstein's equations, in " Twistor geometry and nonlinear systems'' , H.Doebner et al (Eds), Lecture Notes in Mathematics 970, 73-99, Springer, Berlin (1982). MR 84i:32041

9. Kählerian twistor spaces, Proc. London Math. Soc. 43 (1981), 133-150. MR 84b:32014

8. Linear field equations on self-dual spaces, Proc. Roy. Soc. London Ser. A 370 (1980), 173-191. MR 81i:81057

7. (with M F Atiyah, V G Drinfeld, Yu I Manin) Construction of instantons, Phys. Lett. A 65 (1978), 185-187. MR 82g:91049

6. Polygons and gravitons, Math. Proc. Camb. Phil. Soc. 85 (1979), 465-476. MR 80h:53047

5. (with M F Atiyah, I M Singer) Self-duality in four-dimensional Riemannian geometry, Proc. Roy. Soc. London Ser A 362 (1978), 425-461. MR 80d:53023

4. (with M F Atiyah, I M Singer) Deformations of instantons, Proc. Nat. Acad. Sci. USA (1977) 7,2662-2663. MR 56 #16627

3. On the curvature of rational surfaces, Proc. Sympos. Pure Math. XXVII, pp 65-80, Amer. Math. Soc. Providence RI (1975) MR 53 #3962

2. Harmonic spinors, Advances in Mathematics 14 (1974), 1-55. MR 50 #11332

1. Compact four-dimensional Einstein manifolds, J.Differential Geometry 9 (1974), 435-441. MR 50 #3149