### Works of ~~Michael Atiyah~~

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

#### Filter the Bibliography List

The index of elliptic operators on compact manifolds,”
Bull. Amer. Math. Soc.
69
(1963),
pp. 422–433.
Reprinted in *Séminaire Bourbaki. 15e année: 1962/63* (1964) and *Séminaire Bourbaki* **8** (1995).
MR
0157392
Zbl
0118.31203
article

The index of elliptic operators, I,”
Ann. Math. (2)
87 : 3
(1968),
pp. 484–530.
Russian translation published in *Usp. Mat. Nauk* **23**:5(143) (1968).
MR
0236950
Zbl
0164.24001
article

The index of elliptic operators, III,”
Ann. Math. (2)
87 : 3
(1968),
pp. 546–604.
Russian translation published in *Uspehi Mat. Nauk* **24**:1(145) (1969).
MR
0236952
Zbl
0164.24301
article

The index of elliptic operators, I,”
Uspehi Mat. Nauk
23 : 5 (143)
(1968),
pp. 99–142.
Russian translation of article from *Ann. Math.* **87**:3 (1968).
MR
0232402
article

Index theory for skew-adjoint Fredholm operators,” Inst. Hautes Études Sci. Publ. Math. 37 : 1 (January 1969), pp. 5–26. MR 0285033 Zbl 0194.55503 article

: “The index of elliptic operators, III,”
Uspehi Mat. Nauk
24 : 1 (145)
(1969),
pp. 127–182.
Russian translation of article in *Ann. Math.* **87**:3 (1968).
MR
0256417
article

The index of elliptic operators, V,”
Ann. Math. (2)
93 : 1
(1971),
pp. 139–149.
Russian translation published in *Uspehi Mat. Nauk* **27**:4(166) (1972).
MR
0279834
article

The index of elliptic operators, IV,”
Ann. Math. (2)
93 : 1
(1971),
pp. 119–138.
Russian translation published in *Uspehi Mat. Nauk* **27**:4(166) (1972).
MR
0279833
article

The index of elliptic operators, IV,”
Uspehi Mat. Nauk
27 : 4(166)
(1972),
pp. 161–178.
Russian translation of *Ann. Math.* **93**:1 (1971).
MR
0385933
article

The index of elliptic operators, V,”
Usp. Mat. Nauk
27 : 4(166)
(1972),
pp. 179–188.
Russian translation of *Ann. Math.* **93**:1 (1971).
Zbl
0237.58018
article

Spectral asymmetry and Riemannian geometry,” Bull. London Math. Soc. 5 : 2 (1973), pp. 229–234. MR 0331443 Zbl 0268.58010 article

: “Spectral asymmetry and Riemannian geometry, II,” Math. Proc. Cambridge Philos. Soc. 78 : 3 (1975), pp. 405–432. MR 0397798 Zbl 0314.58016 article

: “Spectral asymmetry and Riemannian geometry, I,” Math. Proc. Cambridge Philos. Soc. 77 : 1 (1975), pp. 43–69. MR 0397797 Zbl 0297.58008 article

: “Spectral asymmetry and Riemannian geometry, III,” Math. Proc. Cambridge Philos. Soc. 79 : 1 (1976), pp. 71–99. MR 0397799 Zbl 0325.58015 article

: “Deformations of instantons,” Proc. Nat. Acad. Sci. U.S.A. 74 : 7 (1977), pp. 2662–2663. MR 0458424 Zbl 0356.58011 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

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

: “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
(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
(1983),
pp. 131–177.
An addendum was published in *Ann. Math.* **119**:3 (1984).
MR
707164
Zbl
0531.58048
article

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

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

Papers dedicated to Atiyah, Bott, Hirzebruch, and Singer. Edited by S.-T. Yau. Surveys in Differential Geometry (supplement to Journal of Differential Geometry) 7. International Press (Somerville, MA), 2000. MR 1919419 book

The founders of index theory: Reminiscences of Atiyah, Bott, Hirzebruch, and Singer. Edited by S.-T. Yau. International Press (Somerville, MA), 2003. 2nd edition was published in 2009. MR 2136846 Zbl 1072.01021 book

Michael Atiyah and the physics/geometry interface,”
pp. 43–50
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.
Republished from *Asian J. Math.* **3**:1 (1999). Also in the 2009 edition of the book.
incollection

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

: “The conscience of science,” pp. 51–66 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

: “Recollections about my teacher Michael Atiyah,”
pp. 37–42
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.
Republished from *Asian J. Math.* **3**:1 (1999). Also in the 2009 edition of the book.
incollection

Sir Michael Atiyah and the early days of the Newton Institute,” pp. 23–28 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

: ““Interview with Michael Atiyah and Isadore Singer,”
Mitt. Dtsch. Math.-Ver.
12 : 4
(2004),
pp. 272–281.
Republished from *Eur. Math. Soc. Newsl.* (September 2004). See also *Notices Amer. Math. Soc.* **52**:2 (2005).
MR
2110686
article

Atiyah and Singer receive 2004 Abel Prize,” Notices Amer. Math. Soc. 51 : 6 (2004), pp. 649–650. Press release. MR 2064152 article

: ““Interview with Michael Atiyah and Isadore Singer,”
Eur. Math. Soc. Newsl.
(September 2004),
pp. 24–30.
Republished in *Notices Amer. Math. Soc.* **52**:2 (2005) and *Mitt. Dtsch. Math.-Ver.* **12**:4 (2004).
article

Interview with Michael Atiyah and Isadore Singer,”
Notices Amer. Math. Soc.
52 : 2
(2005),
pp. 225–233.
Republished from *Eur. Math. Soc. Newsl.* (September 2004). See also *Mitt. Dtsch. Math.-Ver.* **12**:4 (2004).
MR
2110633
Zbl
1142.01347
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

: “The founders of index theory: Reminiscences of Atiyah, Bott, Hirzebruch, and Singer, 2nd edition. Edited by S.-T. Yau. International Press (Somerville, MA), 2009. Original edition was published in 2003. MR 2547480 Zbl 1195.01090 book

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

Geometry in Oxford c.1980–85,”
pp. 35–42
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 from *Asian J. Math.* **3**:1 (1999). Also in the 2003 edition of the book.
incollection

Memories of Michael Atiyah,” pp. 45–46 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. incollection

: “Memories of Raoul Bott,” pp. 89–94 in The founders of index theory: Reminiscences of Atiyah, Bott, Hirzebruch, and Singer. Edited by S.-T. Yau. International Press (Somerville, MA), 2009. incollection

: “Letter to Raoul, Fritz, and Is,” pp. 323–324 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. Also found in the 2003 edition of the book. incollection

: “A letter from Raoul Bott,” pp. 33–34 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. Also in the 2003 edition of the book. incollection

: “Being a graduate student of Michael Atiyah,” pp. 47–48 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. Also in the 2003 edition of the book. incollection

: “Mathematics: Queen and servant of the sciences,”
pp. 55–76
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 from *Proc. Am. Phil. Soc.* **137**:4 (1993). See also *Asian J. Math.* **3**:1 (1999).
incollection

Preface,” pp. 1–3 in Special issue: In honor of Michael Atiyah and Isadore Singer, published as Pure Appl. Math. Q. 6 : 2 (2010). MR 2761847 incollection

: “Special issue: In honor of Michael Atiyah and Isadore Singer, published as Pure Appl. Math. Q. 6 : 2 (2010). book