Celebratio Mathematica

Michael F. Atiyah

Geometry

Works of Michael Atiyah

Works connected to Nigel J. Hitchin

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M. F. Atiyah, N. J. Hitchin, and I. M. Sing­er: “De­form­a­tions of in­stan­tons,” Proc. Nat. Acad. Sci. U.S.A. 74 : 7 (1977), pp. 2662–​2663. MR 0458424 Zbl 0356.​58011 article

M. F. Atiyah, N. J. Hitchin, and I. M. Sing­er: “Self-du­al­ity in four-di­men­sion­al Rieman­ni­an geo­metry,” Proc. Roy. Soc. Lon­don Ser. A 362 : 1711 (1978), pp. 425–​461. MR 506229 Zbl 0389.​53011 article

M. F. Atiyah, N. J. Hitchin, V. G. Drin­fel’d, and Yu. I. Man­in: “Con­struc­tion of in­stan­tons,” Phys. Lett. A 65 : 3 (1978), pp. 185–​187. MR 598562 article

M. F. Atiyah: “The mo­ment map in sym­plect­ic geo­metry,” pp. 43–​51 in Glob­al Rieman­ni­an geo­metry (Durham Uni­versity, UK, Ju­ly 1983). Edi­ted by T. Will­more and N. J. Hitchin. Math­em­at­ics and its Ap­plic­a­tions. El­lis Hor­wood (Chichester, UK), 1984. MR 757204 Zbl 0615.​53023 incollection

M. F. Atiyah: “The Yang–Mills equa­tions and the struc­ture of 4-man­i­folds,” pp. 11–​17 in Glob­al Rieman­ni­an geo­metry (Durham Uni­versity, UK, Ju­ly 1983). Edi­ted by T. Will­more and N. J. Hitchin. Series in Math­em­at­ics and its Ap­plic­a­tions. El­lis Hor­wood (Chichester, UK), 1984. MR 757200 Zbl 0614.​57007 incollection

M. F. Atiyah and N. J. Hitchin: “Low en­ergy scat­ter­ing of nona­beli­an mono­poles,” Phys. Lett. A 107 : 1 (1985), pp. 21–​25. MR 778313 Zbl 1177.​53069 article

M. Atiyah, N. J. Hitchin, J. T. Stu­art, and M. Tabor: “Low-en­ergy scat­ter­ing of nona­beli­an mag­net­ic mono­poles [and dis­cus­sion],” Philos. Trans. Roy. Soc. Lon­don Ser. A 315 : 1533 (1985), pp. 459–​469. MR 836746 article

M. Atiyah and N. Hitchin: The geo­metry and dy­nam­ics of mag­net­ic mono­poles. M. B. Port­er Lec­tures. Prin­ceton Uni­versity Press, 1988. Rus­si­an trans­la­tion pub­lished as Geo­met­riya i di­n­ami­ka mag­nit­nykh mono­polei (1991). MR 934202 Zbl 0671.​53001 book

M. Atiyah and N. Khitchin: Geo­met­riya i di­n­ami­ka mag­nit­nykh mono­polei [The geo­metry and dy­nam­ics of mag­net­ic mono­poles]. Mir (Mo­scow), 1991. Rus­si­an trans­la­tion of The geo­metry and dy­nam­ics of mag­net­ic mono­poles (1988). MR 1137269 Zbl 0754.​53003 book

N. Hitchin: “Sir Mi­chael Atiyah: A brief bio­graphy,” pp. 15–​22 in The founders of in­dex the­ory: Re­min­is­cences of and about Sir Mi­chael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I. M. Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2003. Also in the 2009 edi­tion of the book. incollection

M. Atiyah: “Math­em­at­ic­al work of Nigel Hitchin,” pp. 11–​16 in The many fa­cets of geo­metry. Edi­ted by O. Gar­cía-Pra­da, J. P. Bour­guignon, and S. Sala­mon. Ox­ford Uni­versity Press (New York), 2010. MR 2681683 Zbl 1206.​01039 incollection

M. Atiyah, R. Dijk­graaf, and N. Hitchin: “Geo­metry and phys­ics,” Philos. Trans. R. Soc. Lond. Ser. A 368 : 1914 (2010), pp. 913–​926. MR 2587923 Zbl pre05764159 article