Celebratio Mathematica

R. S. Pal­ais and S. Smale: “A gen­er­al­ized Morse the­ory,” Bull. Am. Math. Soc. 70 : 1 (1964), pp. 165–​172. MR 158411 Zbl 0119.​09201 article

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

R. S. Pal­ais: Found­a­tions of glob­al non-lin­ear ana­lys­is. Math­em­at­ics Lec­ture Note Series 16. W. A. Ben­jamin (New York), 1968. MR 248880 Zbl 0164.​11102 book