### 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 : 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

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

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

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

“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

“Atiyah and Singer receive 2004 Abel Prize,” Notices Amer. Math. Soc. 51 : 6 (2004), pp. 649–650. MR 2064152 Zbl 1168.01308 article

Interview with Michael Atiyah and Isadore Singer,”
Mitt. Dtsch. Math.-Ver.
12 : 4
(2004),
pp. 272–281.
Originally published in the *European Mathematical Society Newsletter*, September 2004. Also published in *Notices Amer. Math. Soc.* **52**:2 (2005).
MR
2110686
Zbl
1087.01013
article

Interview with Michael Atiyah and Isadore Singer,”
Notices Amer. Math. Soc.
52 : 2
(February 2005),
pp. 225–233.
Originally published in the *European Mathematical Society Newsletter*, September 2004. Also published in *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

: “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

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

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