### Works of ~~Michael Atiyah~~

#### Works connected to ~~Raoul H. Bott~~

#### Filter the Bibliography List

Clifford modules,” Topology 3 : Supplement 1 (July 1964), pp. 3–38. MR 0167985 Zbl 0146.19001 article

: “The index problem for manifolds with boundary,” pp. 175–186 in Differential Analysis: Papers presented at the international colloquium (Bombay, 7–14 January 1964). Tata Institute of Fundamental Research Studies in Mathematics 2. Oxford University Press (London), 1964. MR 0185606 Zbl 0163.34603 incollection

: “On the periodicity theorem for complex vector bundles,” Acta Math. 112 : 1 (1964), pp. 229–247. MR 0178470 Zbl 0131.38201 article

: “Notes on the Lefschetz fixed point theorem for elliptic complexes. Harvard University (Cambridge, MA), 1964. Zbl 0161.43101 book

:A Lefschetz fixed point formula for elliptic differential operators,” Bull. Am. Math. Soc. 72 : 2 (1966), pp. 245–250. MR 0190950 Zbl 0151.31801 article

: “A Lefschetz fixed point formula for elliptic complexes, I,” Ann. Math. (2) 86 : 2 (1967), pp. 374–407. MR 0212836 Zbl 0161.43201 article

: “A Lefschetz fixed point formula for elliptic complexes, II: Applications,” Ann. Math. (2) 88 : 3 (November 1968), pp. 451–491. MR 0232406 Zbl 0167.21703 article

: “Lacunas for hyperbolic differential operators with constant coefficients, I,”
Acta Math.
124 : 1
(July 1970),
pp. 109–189.
A Russian translation was published in *Usp. Mat. Nauk* **26**:2(158).
MR
0470499
Zbl
0191.11203
article

Lacunas for hyperbolic differential operators with constant coefficients, I,”
Usp. Mat. Nauk
26 : 2(158)
(1971),
pp. 25–100.
Russian translation of an article in *Acta Math.* **124**:1 (1970).
MR
0606062
Zbl
0208.13201
article

On the heat equation and the index theorem,”
Matematika, Moskva
17 : 6
(1973),
pp. 3–48.
Russian translation of an article in *Invent. Math.* **19**:4 (1973).
Zbl
0364.58016
article

On the heat equation and the index theorem,”
Invent. Math.
19 : 4
(1973),
pp. 279–330.
Dedicated to Sir William Hodge on his 70th birthday.
Errata were published in *Invent. Math.* **28**:3 (1975). A Russian translation was published in *Matematika* **17**:6 (1973).
MR
0650828
Zbl
0257.58008
article

Lacunas for hyperbolic differential operators with constant coefficients, II,”
Acta Math.
131 : 1
(December 1973),
pp. 145–206.
A Russian translation was published in *Usp. Mat. Nauk* **39**:3(237).
MR
0470500
Zbl
0266.35045
article

Errata to: ‘On the heat equation and the index theorem’,”
Invent. Math.
28 : 3
(1975),
pp. 277–280.
Errata for article in *Invent. Math.* **19**:4 (1973).
MR
0650829
Zbl
0301.58018
article

Yang–Mills and bundles over algebraic curves,”
pp. 11–20
in
Geometry and analysis: Papers dedicated to the memory of V. K. Patodi.
Indian Academy of Sciences (Bangalore),
1980.
Republished in *Proc. Indian Acad. Sci. Math. Sci.* **90**:1 (1981).
MR
592249
Zbl
0482.14007
incollection

Yang–Mills and bundles over algebraic curves,” pp. 11–20 in Geometry and analysis: Papers dedicated to the memory of V. K. Patodi, published as Proc. Indian Acad. Sci., Math. Sci. 90 : 1. Indian Academy of Sciences (Bangalore), 1981. MR 653942 Zbl 0499.14005 incollection

: “The Yang–Mills equations over Riemann surfaces,” Philos. Trans. R. Soc. Lond., A 308 : 1505 (1983), pp. 523–615. MR 702806 Zbl 0509.14014 article

: “The moment map and equivariant cohomology,” Topology 23 : 1 (1984), pp. 1–28. MR 721448 Zbl 0521.58025 article

: “Lacunas for hyperbolic differential operators with constant coefficients, II,”
Usp. Mat. Nauk
39 : 3(237)
(1984),
pp. 171–224.
Russian translation of an article in *Acta Math.* **131**:1 (1973).
MR
747794
Zbl
0568.35058
article

Contribution to the collected works of Raoul Bott,” pp. xxix–xxx in Raoul Bott: Collected papers, vol. 2: Differential operators. Edited by R. D. MacPherson. Contemporary Mathematicians. Birkhäuser (Boston), 1994. MR 1290365 incollection

: “The mathematical legacy of ‘Lacunas for hyperbolic differential equations’,”
pp. xxiii–xxviii
in
Raoul Bott: Collected papers,
vol. 2: Differential operators.
Edited by R. D. MacPherson.
Contemporary Mathematicians.
Birkhäuser (Boston, MA),
1994.
Commentary on two-part article published in *Acta Math.* **124** (1970) and *Acta Math.* **131** (1973).
MR
1290364
incollection

Reflections on geometry and physics,” pp. 423–428 in Geometry, topology, & physics: Lectures of a conference in honor of Raoul Bott’s 70th birthday (Harvard University, April 1993). Edited by S.-T. Yau. Conference proceedings and lecture notes in geometry and topology 4. International Press (Cambridge, MA), 1995. MR 1358626 incollection

: “A happy collaboration,” pp. xlix–liv in Sir Michael Atiyah: A great mathematician of the twentieth century, published as Asian J. Math. 3 : 1 (1999). Dedicated to Michael Atiyah and Raoul Bott. MR 1701917 Zbl 0955.01017 incollection

: “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

Raoul Harry Bott: 24 September 1923–20 December 2005,”
Biogr. Mems Fell. R. Soc.
53
(December 2007),
pp. 63–76.
Republished in *Bull. Lond. Math. Soc.* **42**:1 (2010).
article

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

Working with Raoul Bott: From geometry to physics,” pp. 51–61 in A celebration of the mathematical legacy of Raoul Bott (Montréal, QC, 9–13 June 2008). Edited by P. R. Kotiuga. CRM Proceedings & Lecture Notes 50. American Mathematical Society (Providence, RI), 2010. MR 2648885 Zbl 1195.01022 incollection

: “Obituary: Raoul Harry Bott, FRS, 1923–2005,”
Bull. Lond. Math. Soc.
42 : 1
(2010),
pp. 170–180.
Republication of an article in *Biogr. Mems Fell. R. Soc.* **53** (2007).
MR
2586977
Zbl
1181.01039
article