Celebratio Mathematica

Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em. Edi­ted by R. S. Pal­ais. An­nals of Math­em­at­ics Stud­ies 57. Prin­ceton Uni­versity Press, 1965. With con­tri­bu­tions by M. F. Atiyah, A. Borel, E. E. Floyd, R. T. See­ley, W. Shih and R. So­lovay. This de­scribes the ori­gin­al proof of the in­dex the­or­em. (Atiyah and Sing­er nev­er pub­lished their ori­gin­al proof them­selves, but only im­proved ver­sions of it.). Rus­si­an trans­la­tion pub­lished as Sem­in­ar po teor­eme At’i–Zingera ob in­dekse (1970). See also a sim­il­arly-titled art­icle in Dif­fer­en­tial ana­lys­is (1964). MR 0198494 Zbl 1103.​58013 book

M. F. Atiyah: “The in­dex the­or­em for man­i­folds with bound­ary,” pp. 337–​351 in Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em. Edi­ted by R. S. Pal­ais. An­nals of Math­em­at­ics Stud­ies 57. Prin­ceton Uni­versity Press, 1965. Ap­pendix I. Atiyah’s sole con­tri­bu­tion to Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em (1965). Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 3. See also sim­il­arly-titled art­icle in Dif­fer­en­tial ana­lys­is (1965). incollection

Sem­in­ar po teor­eme At’i–Zingera ob in­dekse [Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em]. Edi­ted by R. S. Pal­ais and A. S. Dyn­in. Mir (Mo­scow), 1970. Rus­si­an trans­la­tion of Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em (1965). MR 0394769 book