### Papers on ~~index theory~~ ~~(1963–1984)~~

#### 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 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

: “The index of elliptic operators on compact manifolds”
in
Séminaire Bourbaki. 15e année: 1962/63.
Séminaire Bourbaki.
Secrétariat Mathématique (Paris),
1964.
Exposé no. 253.
Reprint of article in *Bull. Am. Math. Soc.* **69** (1963). See also *Séminaire Bourbaki* **8** (1995).
Zbl
0124.31102
incollection

The index theorem for manifolds with boundary,”
pp. 337–351
in
Seminar on the Atiyah–Singer index theorem.
Edited by R. S. Palais.
Annals of Mathematics Studies 57.
Princeton University Press,
1965.
Appendix I.
Atiyah’s sole contribution to *Seminar on the Atiyah–Singer index theorem* (1965). Republished in Atiyah’s *Collected works*, vol. 3. See also similarly-titled article in *Differential analysis* (1965).
incollection

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 differential operators,”
pp. 38–39
in
Simposio internazionale di geometria algebrica
(Rome, 30 September–5 October 1965),
published as Rend. Mat. Appl.
V : 25.
Issue edited by G. Castelnuovo.
Cremonese (Rome),
1967.
See also *Bull. Amer. Math. Soc.* **72**:2 (1966).
Zbl
0149.41201
incollection

Algebraic topology and elliptic operators,” Comm. Pure Appl. Math. 20 (1967), pp. 237–249. MR 0211418 Zbl 0145.43804 article

: “The index of elliptic operators, II,”
Uspehi Mat. Nauk
23 : 6 (144)
(1968),
pp. 135–149.
Russian translation of article in *Ann. Math.* **87**:3 (1968).
MR
0236953
article

The index of elliptic operators, II,”
Ann. Math. (2)
87 : 3
(1968),
pp. 531–545.
Russian translation published in *Uspehi Mat. Nauk* **23**:6(144) (1968).
MR
0236951
Zbl
0164.24201
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

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

: “
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

Global aspects of the theory of elliptic differential operators,” pp. 57–64 in Proceedings of the International Congress of Mathematics (Moscow, 16–26 August 1966). Mir (Moscow), 1968. MR 0233378 Zbl 0204.41902 incollection

: “Hyperbolic differential equations and algebraic geometry (after Petrowsky),” pp. 87–99 in Séminaire Bourbaki 1966/1967. W. A. Benjamin (New York and Amsterdam), 1968. Exposé no. 319. Republished in 1995. Zbl 0201.12501 incollection

: “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 signature of fibre-bundles,” pp. 73–84 in Global analysis: Papers in honor of K. Kodaira. Edited by S. Iyanaga and D. C. Spencer. Princeton Mathematical Series 29. University of Tokyo Press, 1969. MR 0254864 Zbl 0193.52302 incollection

: “
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

Topology of elliptic operators,” pp. 101–119 in Global analysis (Berkeley, CA, 1–26 July 1968). Edited by S.-S. Chern and S. Smale. Proceedings of Symposia in Pure Mathematics 16. American Mathematical Society (Providence, RI), 1970. MR 0264700 Zbl 0207.22601 incollection

: “Spin-manifolds and group actions,” pp. 18–28 in Essays on topology and related topics: Mémoires dédiés à Georges de Rham. Edited by A. Haefliger and R. Narasimhan. Springer (New York), 1970. MR 0278334 Zbl 0193.52401 incollection

: “Global theory of elliptic operators,” pp. 21–30 in Functional analysis and related topics (Tokyo, 1969). Edited by S. T. Kuroda. University of Tokyo Press, 1970. MR 0266247 Zbl 0193.43601 incollection

: “Resolution of singularities and division of distributions,” Comm. Pure Appl. Math. 23 : 2 (1970), pp. 145–150. MR 0256156 Zbl 0188.19405 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

Riemann surfaces and spin structures,” Ann. Sci. École Norm. Sup. (4) 4 : 1 (1971), pp. 47–62. MR 0286136 Zbl 0212.56402 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,”
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

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

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

: “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

The index of elliptic operators,
1973.
Notes distributed at seventy-ninth annual meeting of the American Mathematical Society, Dallas, TX, 25–28 January 1973.
Republished in Atiyah’s *Collected works*, vol. 3, pp. 475–498.
Republished in *Fields Medallists’ lectures* (1997).
Zbl
0263.58012
misc

Elliptic operators and compact groups. Lecture Notes in Mathematics 401. Springer (Berlin), 1974. MR 0482866 Zbl 0297.58009 book

: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, I,” Math. Proc. Cambridge Philos. Soc. 77 (1975), pp. 43–69. MR 397797 Zbl 0297.58008 article

: “Eigenvalues and Riemannian geometry,” pp. 5–9 in Manifolds (Tokyo, 1973). Edited by A. Hattori. University of Tokyo Press, 1975. MR 0372928 Zbl 0319.53030 incollection

: “Classical groups and classical differential operators on manifolds,” pp. 5–48 in Differential operators on manifolds (Varenna, Italy, 24 August–2 September 1975). Edited by E. Vesentini. Cremonese (Rome), 1975. MR 0650830 incollection

: “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

Vector bundles on projective 3-space,” Invent. Math. 35 : 1 (1976), pp. 131–153. MR 0419852 article

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

: “Elliptic operators, discrete groups and von Neumann algebras,” pp. 43–72 in Colloque “Analyse et Topologie” en l’honneur de Henri Cartan (Orsay, 1974). Astérisque 32–33. Société Mathématique de France (Paris), 1976. MR 0420729 Zbl 0323.58015 incollection

: “A geometric construction of the discrete series for semisimple Lie groups,”
Invent. Math.
42 : 1
(1977),
pp. 1–62.
Republished in *Harmonic analysis and representations of semisimple Lie groups* (1980). Errata published in *Invent. Math.* **54**:2 (1979).
MR
0463358
Zbl
0373.22001
article

Erratum: ‘A geometric construction of the discrete series for semisimple Lie groups’,”
Invent. Math.
54 : 2
(1979),
pp. 189–192.
Erratum for article in *Invent. Math.* **42**:1 (1977). See also *Harmonic analysis and representations of semisimple Lie groups* (1980).
MR
550183
article

A geometric construction of the discrete series for semisimple Lie groups,”
pp. 317–378
in
Harmonic analysis and representations of semisimple Lie groups
(Liège, 5–17 September 1977).
Edited by J. A. Wolf, M. Cahen, and M. de Wilde.
Mathematical Physics and Applied Mathematics 5.
D. Reidel (Dordrecht),
1980.
Republished from *Invent. Math.* **42**:1 (1977).
Zbl
0466.22012
incollection

Erratum to the article ‘A geometric construction of the discrete series for semisimple Lie groups’”
in
Harmonic analysis and representations of semisimple Lie groups
(Liège, 5–17 September 1977).
Edited by J. A. Wolf, M. Cahen, and M. de Wilde.
Mathematical Physics and Applied Mathematics 5.
D. Reidel (Dordrecht),
1980.
Erratum for article in same volume. Republished from *Invent. Math.* **54**:2 (1979).
Zbl
0466.22013
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

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

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

Characters of semi-simple Lie groups,” pp. 489–558 in Collected works, vol. 4: Index theory 2. Oxford Science Publications. Clarendon Press and Oxford University Press (Oxford, New York), 1988. Lectures given at Mathematical Institute, Oxford, 1976. incollection

: “Collected works, vol. 4: Index theory 2. Oxford Science Publications. The Clarendon Press and Oxford University Press (Oxford and New York), 1988. MR 951895 book

:Collected works, vol. 3: Index theory 1. Oxford Science Publications. The Clarendon Press and Oxford University Press (Oxford and New York), 1988. MR 951894 Zbl 0724.53001 book

:The index of elliptic operators,” pp. 475–498 in Collected works, vol. 3: Index theory 1. Oxford Science Publications. Oxford University Press, 1988. Colloquium Lectures (Dallas, 1973), American Mathematical Society.

: “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

Hyperbolic differential equations and algebraic geometry (after Petrowsky),” pp. 87–99 in Séminaire Bourbaki 10: Années 1966/67–1967/68. Société Mathématique de France (Paris), 1995. Exposé no. 319. Republication of 1968 original. MR 1610456 incollection

: “The index of elliptic operators on compact manifolds,”
pp. 159–169
in
Séminaire Bourbaki,
vol. 8, Années 1962–63, 1963–64.
Astérisque.
Séminaire Bourbaki.
Société Mathématique de France (Paris),
1995.
Exposé no. 253.
Reprint of article in *Bull. Am. Math. Soc.* **69** (1963). See also *Séminaire Bourbaki. 15e année: 1962/63* (1964).
MR
1611539
incollection

The index of elliptic operators,” pp. 115–127 in Fields Medallists’ lectures. Edited by M. F. Atiyah and D. Iagolnitzer. World Scientific Series in 20th Century Mathematics 5. World Scientific (River Edge, NJ), 1997. Republication of notes distributed at AMS conference (1973). MR 1622942 incollection

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