### Works authored by Atiyah

#### Works connected to ~~Isadore M. Singer~~

#### Filter the Bibliography List

The index of elliptic operators on compact manifolds,” Bull. Amer. Math. Soc. 69 : 3 (1963), pp. 422–433. MR 157392 Zbl 0118.31203 article

: “
The index of elliptic operators, I,”
Uspehi Mat. Nauk
23 : 5(143)
(1968),
pp. 99–142.
Russian translation of an article published in *Ann. Math. (2)* **87**:3 (1968).
MR
232402
article

The index of elliptic operators, I,”
Ann. Math. (2)
87 : 3
(May 1968),
pp. 484–530.
A Russian translation was published in *Uspehi Mat. Nauk* **23**:5(143).
MR
236950
Zbl
0164.24001
article

The index of elliptic operators, III,”
Ann. Math. (2)
87 : 3
(May 1968),
pp. 546–604.
A Russian translation was published in *Uspehi Mat. Nauk* **24**:1(145).
MR
236952
Zbl
0164.24301
article

The index of elliptic operators, III,”
Uspehi Mat. Nauk
24 : 1(145)
(1969),
pp. 127–182.
The English original was published in *Ann. Math. (2)* **87**:3 (1968).
MR
256417
article

Index theory for skew-adjoint Fredholm operators,” Inst. Hautes Études Sci. Publ. Math. 37 (1969), pp. 5–26. MR 285033 Zbl 0194.55503 article

: “
The index of elliptic operators, IV,”
Ann. Math. (2)
93 : 1
(January 1971),
pp. 119–138.
A Russian translation was published in *Uspehi Mat. Nauk* **27**:4(166) (1972).
MR
279833
Zbl
0212.28603
article

The index of elliptic operators, V,”
Ann. Math. (2)
93 : 1
(January 1971),
pp. 139–149.
A Russian translation was published in *Uspehi Mat. Nauk* **27**:4(166) (1972).
MR
279834
article

The index of elliptic operators, IV,”
Uspehi Mat. Nauk
27 : 4(166)
(1972),
pp. 161–178.
Russian translation of an article published in *Ann. Math. (2)* **93**:1 (1971).
MR
385933
Zbl
0237.58017
article

The index of elliptic operators, V,”
Usp. Mat. Nauk
27 : 4(166)
(1972).
Russian translation of an article published in *Ann. Math. (2)* **93**:1 (1971).
Zbl
0237.58018
article

Spectral asymmetry and Riemannian geometry,” Bull. London Math. Soc. 5 (July 1973), pp. 229–234. MR 331443 Zbl 0268.58010 article

: “Spectral asymmetry and Riemannian geometry, I,” Math. Proc. Cambridge Philos. Soc. 77 (1975), pp. 43–69. MR 397797 Zbl 0297.58008 article

: “Spectral asymmetry and Riemannian geometry, II,” Math. Proc. Cambridge Philos. Soc. 78 : 3 (November 1975), pp. 405–432. MR 397798 Zbl 0314.58016 article

: “Spectral asymmetry and Riemannian geometry, III,” Math. Proc. Cambridge Philos. Soc. 79 : 1 (1976), pp. 71–99. MR 397799 Zbl 0325.58015 article

: “A survey of __\( K \)__-theory,”
pp. 1–9
in
__\( K \)__-theory and operator algebras
(University of Georgia, Athens, GA, 21–25 April 1975).
Edited by B. B. Morrel and I. M. Singer.
Springer (Berlin),
1977.
MR
0474299
Zbl
0345.55005
incollection

Deformations of instantons,” Proc. Nat. Acad. Sci. U.S.A. 74 : 7 (July 1977), pp. 2662–2663. MR 458424 Zbl 0356.58011 article

: “Self-duality in four-dimensional Riemannian geometry,” Proc. Roy. Soc. London Ser. A 362 : 1711 (September 1978), pp. 425–461. MR 506229 Zbl 0389.53011 article

: “Remarks on Morse theory,”
pp. 1–5
in
Recent developments in gauge theories.
Edited by G. ’t Hooft, C. Itzykson, A. Jaffe, H. Lehmann, P. K. Mitter, I. M. Singer, and R. Stora.
NATO Advanced Study Institutes Series B. Physics. 59.
Plenum Press (New York and London),
1980.
Republished in Atiyah’s *Collected works*, vol. 5.
incollection

Geometry and analysis of Shimizu __\( L \)__-functions,”
Proc. Nat. Acad. Sci. U.S.A.
79 : 18
(September 1982),
pp. 5751.
MR
674920
Zbl
0503.12007
article

Eta invariants, signature defects of cusps, and values of __\( L \)__-functions,”
Ann. Math. (2)
118 : 1
(July 1983),
pp. 131–177.
An addendum to this article was published in *Ann. Math. (2)* **119**:3 (1984).
MR
707164
Zbl
0531.58048
article

Dirac operators coupled to vector potentials,” Proc. Nat. Acad. Sci. U.S.A. 81 : 8 (April 1984), pp. 2597–2600. MR 742394 Zbl 0547.58033 article

: “
Signature defects of cusps and values of __\( L \)__-functions: The nonsplit case,”
Ann. Math. (2)
119 : 3
(1984),
pp. 635–637.
Addendum to an article published in *Ann. Math. (2)* **118**:1 (1983).
MR
744866
Zbl
0577.58030
article

The interaction between geometry and physics,” pp. 1–15 in The unity of mathematics (Cambridge, MA, 31 August–4 September 2003). Edited by P. I. Ètingof, V. Retakh, and I. M. Singer. Progress in Mathematics 244. Birkhäuser (Boston, MA), 2006. MR 2181802 Zbl 1118.58002 incollection

: “A personal history,”
pp. 5–15
in
The founders of index theory: Reminiscences of and about Sir Michael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I. M. Singer,
2nd edition.
Edited by S.-T. Yau.
International Press (Somerville, MA),
2009.
Republished in Atiyah’s *Collected works*, vol. 6.
incollection