×

Atiyah, Michael Francis

Compute Distance To:
Author ID: atiyah.michael-francis Recent zbMATH articles by "Atiyah, Michael Francis"
Published as: Atiyah, Michael F.; Atiyah, Michael; Atiyah, M. F.; Atiyah, M.; Atiyah, Michael Francis; Atiyah, Sir Michael F.; Atiyah, Sir Michael
Homepage: http://www.maths.ed.ac.uk/school-of-mathematics/people?person=75
External Links: Celebratio Mathematica · MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Fields Medal (1966) · Abel Prize (2004)
all top 5

Co-Authors

141 single-authored
20 Bott, Raoul Harry
19 Singer, Isadore Manuel
11 Hirzebruch, Friedrich
8 Hitchin, Nigel James
8 Patodi, Vijay Kumar
8 Segal, Graeme B.
4 Gårding, Lars
4 Schmid, Wilfried
4 Tate, John Torrence jun.
3 Borel, Armand
3 Donnelly, Harold
3 Hodge, William Vallance Douglas
3 Iagolnitzer, Daniel
3 Macdonald, Ian Grant
3 Manton, Nicholas S.
3 Nirenberg, Louis
3 Serre, Jean-Pierre
2 Bass, Hyman
2 Deligne, Pierre René
2 Friedan, Daniel Harry
2 Gray, Jeremy John
2 Green, Michael B.
2 Hawking, Stephen William
2 Hirsch, Morris W.
2 Illusie, Luc
2 Jeffrey, Lisa Claire
2 Lax, Peter David
2 Llewellyn-Smith, C. H.
2 Manin, Yuri Ivanovich
2 Marcolli, Matilde
2 Mazur, Barry
2 Raussen, Martin
2 Schroers, Bernd J.
2 Skau, Christian Fredrik
2 Sullivan, Dennis Parnell
2 Sutcliffe, Paul Michael
2 Weinstein, Alan David
2 Witten, Edward
2 Zapata-Carratala, Carlos
1 Adams, John Frank
1 Arnocritt, R.
1 Arnol’d, Vladimir Igorevich
1 Artin, Michael
1 Baouendi, Mohammed Salah
1 Bar-Natan, Dror
1 Bär, Christian
1 Berndt, Jürgen
1 Bhanot, Gyan V.
1 Bielawski, Roger
1 Bojarski, Bogdan
1 Bokobza, Juliane
1 Boman, Jan
1 Bony, Jean-Michel
1 Bourguignon, Jean-Pierre
1 Boutet de Monvel, Louis
1 Brézin, Edouard
1 Broström, Sofia
1 Brown, Ken
1 Bundy, Alan
1 Carleson, Lennart
1 Cartan, Henri
1 Cartier, Pierre
1 Cassels, John William Scott
1 Cattaneo, Alberto Sergio
1 Chaitin, Gregory J.
1 Chamseddine, Ali Hani
1 Chong, Chi Tat
1 Connes, Alain
1 Cuntz, Joachim
1 Cushman, Richard H.
1 Demailly, Jean-Pierre
1 Demazure, Michel
1 Dijkgraaf, Robbert H.
1 do Carmo, Manfredo Perdigão
1 Donaldson, Simon Kirwan
1 Drinfeld, Vladimir Gershonovich
1 Drury, Luke O’Connor
1 Duflot, Jeanne
1 Dunajski, Maciej
1 Dupont, Johan L.
1 Earle, Clifford J.
1 Eguchi, Tohru
1
1 Franchetti, Guido
1 Friedlander, Eric Mark
1 Fröhlich, Albrecht
1 Fröhlich, Jürg Martin
1 Gibbon, John D.
1 Glimm, James G.
1 Godbole, Rohini M.
1 Goddard, Peter
1 Goldschmith, Brendan
1 Goodwillie, Thomas Gehret
1 Gowers, William Timothy
1 Grayson, Daniel Richard
1 Greenberg, Marvin Jay
1 Greene, Robert Everist
1 Greuel, Gert-Martin
1 Grisvard, Pierre
1 Gromov, Mikhael Leonidovich
...and 119 more Co-Authors
all top 5

Serials

10 Topology
9 Annals of Mathematics. Second Series
8 Bulletin of the London Mathematical Society
7 Notices of the American Mathematical Society
5 Uspekhi Matematicheskikh Nauk [N. S.]
5 Inventiones Mathematicae
5 The Quarterly Journal of Mathematics. Oxford Second Series
4 Communications in Mathematical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Acta Mathematica
4 Proceedings of the Cambridge Philosophical Society
3 Publications Mathématiques
3 Proceedings of the London Mathematical Society. Third Series
3 Proceedings of the National Academy of Sciences of the United States of America
3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
3 Bulletin of the American Mathematical Society. New Series
3 European Mathematical Society Newsletter
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Bulletin of the American Mathematical Society
2 American Mathematical Monthly
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Physics Letters. A
2 Journal of Geometry and Physics
2 Bulletin de la Société Mathématique de France
2 Normat
2 Notes and Records of the Royal Society of London
2 Philosophical Transactions of the Royal Society of London. Ser. A
2 Pokroky Matematiky, Fyziky & Astronomie
2 The Asian Journal of Mathematics
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Journal of High Energy Physics
2 Tata Institute of Fundamental Research. Studies in Mathematics
2 Springer VideoMATH
1 International Journal of Modern Physics A
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 The Mathematical Gazette
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Reviews in Mathematical Physics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Journal of Differential Geometry
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne
1 Chinese Annals of Mathematics. Series B
1 Advances in Mathematics
1 L’Enseignement Mathématique. 2e Série
1 Fiziko-Matematichesko Spisanie
1 Boletín de la Academia de Ciencias Físicas, Matematicas y Naturales (Caracas)
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Irish Mathematical Society Bulletin
1 Journal of Mathematical Sciences (New York)
1 Turkish Journal of Mathematics
1 Izvestiya: Mathematics
1 Advances in Theoretical and Mathematical Physics
1 NTM. Neue Serie
1 The Quarterly Journal of Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Milan Journal of Mathematics
1 International Journal of Geometric Methods in Modern Physics
1 Foundations of Physics
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
1 Journal of the London Mathematical Society
1 Colloques Internationaux du Centre National de la Recherche Scientifique
1 Lecture Notes in Mathematics
1 Culture and History of Mathematics
1 Mathematical Medley
1 Ukraïns’kyĭ Matematychnyĭ Visnyk
1 European Journal of Mathematics
1 World Scientific Series in 21st Century Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Contemporary Mathematicians
1 Cambridge Mathematical Library

Publications by Year

Citations contained in zbMATH Open

173 Publications have been cited 11,772 times in 8,547 Documents Cited by Year
Introduction to commutative algebra. Zbl 0175.03601
Atiyah, Michael F.; Macdonald, I. G.
1969
The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014
Atiyah, Michael F.; Bott, Raoul
620
1983
Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
517
1978
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
467
1975
The index of elliptic operators. III. Zbl 0164.24301
Atiyah, Michael F.; Singer, I. M.
462
1968
Clifford modules. Zbl 0146.19001
Atiyah, Michael F.; Bott, Raoul; Shapiro, A.
348
1964
Construction of instantons. Zbl 0424.14004
Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I.
330
1978
Complex analytic connections in fibre bundles. Zbl 0078.16002
Atiyah, Michael F.
321
1957
Vector bundles over an elliptic curve. Zbl 0084.17305
Atiyah, Michael F.
319
1957
The index of elliptic operators. I. Zbl 0164.24001
Atiyah, Michael F.; Singer, Isadore Manuel
302
1968
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
296
1984
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
283
1976
Convexity and commuting Hamiltonians. Zbl 0482.58013
Atiyah, Michael F.
272
1982
Algebraic number theory. Zbl 0153.07403
249
1967
Topological quantum field theories. Zbl 0692.53053
Atiyah, Michael
238
1988
The geometry and dynamics of magnetic monopoles. Zbl 0671.53001
Atiyah, Michael; Hitchin, Nigel
218
1988
A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703
Atiyah, Michael F.; Bott, Raoul
198
1968
The index of elliptic operators. IV, V. Zbl 0212.28603
Atiyah, Michael F.; Singer, I. M.
196
1971
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
185
1973
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
172
1975
A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201
Atiyah, Michael F.; Bott, Raoul
136
1967
The index of elliptic operators. II. Zbl 0164.24201
Atiyah, Michael F.; Segal, G. B.
132
1968
Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015
Atiyah, Michael F.
131
1976
Vector bundles and homogeneous spaces. Zbl 0108.17705
Atiyah, Michael F.; Hirzebruch, Friedrich
130
1961
K-theory and reality. Zbl 0146.19101
Atiyah, Michael F.
126
1966
Equivariant \(K\)-theory and completion. Zbl 0215.24403
Atiyah, Michael F.; Segal, G. B.
123
1969
The index of elliptic operators on compact manifolds. Zbl 0118.31203
Atiyah, Michael F.; Singer, I. M.
117
1963
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
115
1984
Riemann surfaces and spin structures. Zbl 0212.56402
Atiyah, Michael F.
109
1971
Resolution of singularities and division of distributions. Zbl 0188.19405
Atiyah, Michael F.
108
1970
Instantons and algebraic geometry. Zbl 0362.14004
Atiyah, Michael F.; Ward, R. S.
108
1977
Geometry of Yang-Mills fields. Zbl 0435.58001
Atiyah, Michael F.
106
1979
Thom complexes. Zbl 0124.16301
Atiyah, Michael F.
96
1961
Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503
Atiyah, Michael F.; Singer, I. M.
96
1969
Elliptic operators and compact groups. Zbl 0297.58009
Atiyah, Michael Francis
95
1974
On the Krull-Schmidt theorem with application to sheaves. Zbl 0072.18101
Atiyah, Michael F.
84
1956
Characters and cohomology of finite groups. Zbl 0107.02303
Atiyah, Michael F.
82
1961
Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
81
1970
The geometry and physics of knots. Zbl 0729.57002
Atiyah, Michael
80
1990
Group representations, \(\lambda\)-rings and the \(J\)-homomorphism. Zbl 0159.53301
Atiyah, Michael F.; Tall, D. O.
75
1969
Bott periodicity and the index of elliptic operators. Zbl 0159.53501
Atiyah, Michael F.
72
1968
A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001
Atiyah, Michael; Schmid, Wilfried
70
1977
Topological aspects of Yang-Mills theory. Zbl 0387.55009
Atiyah, Michael F.; Jones, J. D. S.
70
1978
Analytic cycles on complex manifolds. Zbl 0108.36401
Atiyah, Michael F.; Hirzebruch, Friedrich
68
1962
An M-theory flop as a large \(N\) duality. Zbl 1061.81056
Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun
67
2001
Riemann-Roch theorems for differentiable manifolds. Zbl 0142.40901
Atiyah, Michael F.; Hirzebruch, Friedrich
63
1959
Power operations in K-theory. Zbl 0144.44901
Atiyah, Michael F.
59
1966
Low energy scattering of nonabelian monopoles. Zbl 1177.53069
Atiyah, M. F.; Hitchin, N. J.
58
1985
On framings of 3-manifolds. Zbl 0716.57011
Atiyah, Michael
58
1990
M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065
Atiyah, Michael; Witten, Edward
57
2002
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
53
2016
The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500
Hawking, Stephen; Penrose, Roger
52
1996
Twisted \(K\)-theory. Zbl 1151.55301
Atiyah, Michael; Segal, Graeme
52
2004
Instantons in two and four dimensions. Zbl 0564.58040
Atiyah, Michael F.
51
1984
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
49
1973
On analytic surfaces with double points. Zbl 0135.21301
Atiyah, Michael F.
46
1958
The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035
Atiyah, Michael
45
1987
Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001
Atiyah, M. F.
44
1990
On equivariant Euler characteristics. Zbl 0708.19004
Atiyah, Michael; Segal, Graeme
41
1989
Spin-manifolds and group actions. Zbl 0193.52401
Atiyah, Michael F.; Hirzebruch, Friedrich
40
1970
Topological Lagrangians and cohomology. Zbl 0721.58056
Atiyah, M. F.; Jeffrey, L.
34
1990
The Riemann-Roch theorem for analytic embeddings. Zbl 0108.36402
Atiyah, Michael F.; Hirzebruch, Friedrich
32
1962
Vector bundles and the Künneth formula. Zbl 0108.17801
Atiyah, Michael F.
31
1962
Bordism and cobordism. Zbl 0104.17405
Atiyah, Michael F.
30
1961
\(K\)-theory. Lecture notes by D. W. Anderson. Fall 1964. With reprints of M. F. Atiyah: Power operations in \(K\)-theory; \(K\)-theory and reality. Zbl 0159.53302
Atiyah, Michael F.
30
1967
\(K\)-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. (Лекции по \(К\)-теории.) Zbl 0159.53401
Atiyah, Michael F.
30
1967
The index problem for manifolds with boundary. Zbl 0163.34603
Atiyah, Michael F.; Bott, Raoul
30
1964
Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
29
1973
Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026
Atiyah, Michael F.
29
1983
Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes). Zbl 0109.16002
Atiyah, Michael F.; Hirzebruch, Friedrich
26
1961
Twisted \(K\)-theory and cohomology. Zbl 1138.19003
Atiyah, Michael; Segal, Graeme
26
2006
Complex fibre bundles and ruled surfaces. Zbl 0174.52804
Atiyah, Michael F.
26
1955
Vector bundles on projective 3-spaces. Zbl 0332.32020
Atiyah, Michael F.; Rees, E.
25
1976
Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
24
1983
On complex Stiefel manifolds. Zbl 0109.16102
Atiyah, Michael F.; Todd, J. A.
23
1960
K-theory and the Hopf invariant. Zbl 0136.43903
Adams, J. F.; Atiyah, Michael F.
23
1966
A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801
Atiyah, Michael F.; Bott, Raoul
23
1966
Vector fields with finite singularities. Zbl 0233.57010
Atiyah, Michael F.; Dupont, J. L.
23
1972
Integrals of the second kind on an algebraic variety. Zbl 0068.34401
Hodge, W. V. D.; Atiyah, Michael F.
23
1955
Vector fields on manifolds. Zbl 0193.52303
Atiyah, Michael F.
20
1970
Curvature, cones and characteristic numbers. Zbl 1273.53041
Atiyah, Michael; Lebrun, Claude
20
2013
On the periodicity theorem for complex vector bundles. Zbl 0131.38201
Atiyah, Michael F.; Bott, Raoul
18
1964
The signature of fibre-bundles. Zbl 0193.52302
Atiyah, Michael F.
17
1969
Deformations of instantons. Zbl 0356.58011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
17
1977
Immersions and embeddings of manifolds. Zbl 0109.41101
Atiyah, Michael F.
16
1962
The geometry of point particles. Zbl 1010.58015
Atiyah, Michael; Sutcliffe, Paul
16
2002
Geometry and kinematics of two Skyrmions. Zbl 0778.53051
Atiyah, M. F.; Manton, N. S.
16
1993
The Yang-Mills equations and the structure of 4-manifolds. Zbl 0614.57007
Atiyah, M. F.
16
1984
New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018
Atiyah, Michael
16
1988
Polyhedra in physics, chemistry and geometry. Zbl 1050.52002
Atiyah, Michael; Sutcliffe, Paul
15
2003
On the K-theory of compact Lie groups. Zbl 0136.21001
Atiyah, Michael F.
14
1965
Algebraic topology and elliptic operators. Zbl 0145.43804
Atiyah, Michael F.
14
1967
Some theorems of non-immersion for differentiable manifolds. (Quelques théorèmes de non-plongement pour les variétés différentiables.) Zbl 0196.55903
Atiyah, Michael F.; Hirzebruch, Friedrich
14
1959
Circular symmetry and stationary-phase approximation. Zbl 0578.58039
Atiyah, Michael F.
14
1985
The geometry and physics of knots. Zbl 0696.57002
Atiyah, M. F.
13
1989
Geometric models of matter. Zbl 1364.53046
Atiyah, M. F.; Manton, N. S.; Schroers, B. J.
13
2012
Compact Lie groups and the stable homotopy of spheres. Zbl 0282.55008
Atiyah, Michael F.; Smith, Larry
12
1974
Notes on the Lefschetz fixed point theorem for elliptic complexes. Zbl 0161.43101
Atiyah, Michael F.; Bott, Raoul
12
1964
Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035
Atiyah, Michael; Hitchin, Nigel J.
12
1985
Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004
Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J.
11
2017
The relativistic geometry and dynamics of electrons. Zbl 1391.81206
Atiyah, M. F.; Malkoun, Joseph
2
2018
Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004
Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J.
11
2017
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
53
2016
Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022
Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L.
1
2016
Time evolution in a geometric model of a particle. Zbl 1388.83043
Atiyah, M. F.; Franchetti, G.; Schroers, B. J.
1
2015
Friedrich Hirzebruch (1927–2012). Zbl 1338.01024
2
2014
Curvature, cones and characteristic numbers. Zbl 1273.53041
Atiyah, Michael; Lebrun, Claude
20
2013
Geometric models of matter. Zbl 1364.53046
Atiyah, M. F.; Manton, N. S.; Schroers, B. J.
13
2012
A shifted view of fundamental physics. Zbl 1238.83047
Atiyah, Michael; Moore, Gregory W.
2
2011
Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067
Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes
1
2011
Geometry and physics. Zbl 1420.57003
Atiyah, Michael; Dijkgraaf, Robbert; Hitchin, Nigel
4
2010
Twisted \(K\)-theory and cohomology. Zbl 1138.19003
Atiyah, Michael; Segal, Graeme
26
2006
Mathematics: art and science. Zbl 1121.00307
Atiyah, Michael
1
2006
Abstracts of additional presentations made at the Royal Society discussion meeting ‘The nature of mathematical proof’. Zbl 1152.03303
Bundy, Alan; Mackenzie, Donald; Atiyah, Michael; Macintyre, Angus
6
2005
Twisted \(K\)-theory. Zbl 1151.55301
Atiyah, Michael; Segal, Graeme
52
2004
Collected works. Volume 6. Zbl 1099.01024
Atiyah, Michael
3
2004
Evolution of …Global geometry (Bakerian lecture, 1975). Zbl 1187.58001
Atiyah, M. F.
2
2004
A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004
Atiyah, Michael; Hopkins, Michael
2
2004
Polyhedra in physics, chemistry and geometry. Zbl 1050.52002
Atiyah, Michael; Sutcliffe, Paul
15
2003
Projective planes, Severi varieties and spheres. Zbl 1057.53040
Atiyah, Michael; Berndt, Jürgen
9
2003
M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065
Atiyah, Michael; Witten, Edward
57
2002
The geometry of point particles. Zbl 1010.58015
Atiyah, Michael; Sutcliffe, Paul
16
2002
Nahm’s equations, configuration spaces and flag manifolds. Zbl 1022.22007
Atiyah, Michael; Bielawski, Roger
7
2002
Mathematics in the 20th century. Zbl 1022.01007
Atiyah, Michael
5
2002
On the unreasonable effectiveness of physics in mathematics. Zbl 1150.00002
Atiyah, Michael
1
2002
An M-theory flop as a large \(N\) duality. Zbl 1061.81056
Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun
67
2001
Configurations of points. Zbl 1037.58007
Atiyah, Michael
9
2001
\(K\)-theory past and present. Zbl 1061.19500
Atiyah, Michael
3
2001
Equivariant cohomology and representations of the symmetric group. Zbl 1057.20007
Atiyah, M.
3
2001
Mathematics in the 20th century. Zbl 1081.01502
Atiyah, Michael
1
2001
Mathematics: frontiers and perspectives. Zbl 1047.00015
10
2000
The geometry of classical particles. Zbl 1050.55502
Atiyah, Michael
5
2000
Paul Dirac: The man and his work. Edited by Peter Goddard. Memorial address by Stephen Hawking. Zbl 0917.01032
Pais, Abraham; Jacob, Maurice; Olive, David; Atiyah, Michael F.
1
1998
Obituary: John Arthur Todd. Zbl 0927.01042
Atiyah, M. F.
1
1998
An introduction to topological quantum field theories. Zbl 0890.57019
Atiyah, Michael
3
1997
Geometry and physics: Where are we going? Zbl 0865.53063
Atiyah, Michael
2
1997
Fields Medallists’ lectures. Zbl 0913.01020
1
1997
The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500
Hawking, Stephen; Penrose, Roger
52
1996
Geometry and physics. Zbl 0864.57003
Atiyah, Michael
1
1996
Collected papers of V. K. Patodi. Ed. and with a foreword by M. F. Atiyah and M. S. Narasimhan. Zbl 0902.01034
Patodi, V. K.
1
1996
Floer homology. Zbl 0837.58011
Atiyah, Michael
1
1995
Quantum theory and geometry. Zbl 0860.58001
Atiyah, Michael
1
1995
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher
9
1994
Geometry and kinematics of two Skyrmions. Zbl 0778.53051
Atiyah, M. F.; Manton, N. S.
16
1993
Magnetic monopoles and the Yang-Baxter equations. Zbl 0757.53038
Atiyah, Michael
7
1991
The geometry and physics of knots. Zbl 0729.57002
Atiyah, Michael
80
1990
On framings of 3-manifolds. Zbl 0716.57011
Atiyah, Michael
58
1990
Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001
Atiyah, M. F.
44
1990
Topological Lagrangians and cohomology. Zbl 0721.58056
Atiyah, M. F.; Jeffrey, L.
34
1990
Quantum field theory and low-dimensional geometry. Zbl 0804.53098
Atiyah, Michael
3
1990
The Jones-Witten invariants of knots. Zbl 0739.57001
Atiyah, Michael
2
1990
Hyperkähler manifolds. Zbl 0699.53068
Atiyah, Michael
1
1990
On equivariant Euler characteristics. Zbl 0708.19004
Atiyah, Michael; Segal, Graeme
41
1989
The geometry and physics of knots. Zbl 0696.57002
Atiyah, M. F.
13
1989
The theory and applications of harmonic integrals. Reissued, with a foreword by Sir Michael Atiyah. Zbl 0693.14002
Hodge, W. V. D.
7
1989
K-theory. With notes by D. W. Anderson. Reprint. Zbl 0676.55006
Atiyah, Michael F.
3
1989
Topological quantum field theories. Zbl 0692.53053
Atiyah, Michael
238
1988
The geometry and dynamics of magnetic monopoles. Zbl 0671.53001
Atiyah, Michael; Hitchin, Nigel
218
1988
New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018
Atiyah, Michael
16
1988
Collected works. Volume 5: Gauge theories. Zbl 0691.53003
Atiyah, Michael
7
1988
Collected works. Volume 2: \(K\)-Theory. Zbl 0724.55001
Atiyah, Michael
3
1988
Topology and differential equations. Zbl 0687.35001
Atiyah, Michael
2
1988
The impact of physics on geometry. Zbl 0657.53054
Atiyah, Michael
1
1988
The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035
Atiyah, Michael
45
1987
Magnetic monopoles in hyperbolic spaces. Zbl 0722.53063
Atiyah, M. F.
10
1987
Magnetic monopoles in hyperbolic spaces. Zbl 0688.53027
Atiyah, M. F.
5
1987
On the work of Simon Donaldson. Zbl 0666.01010
Atiyah, Michael
3
1987
Low energy scattering of nonabelian monopoles. Zbl 1177.53069
Atiyah, M. F.; Hitchin, N. J.
58
1985
Circular symmetry and stationary-phase approximation. Zbl 0578.58039
Atiyah, Michael F.
14
1985
Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035
Atiyah, Michael; Hitchin, Nigel J.
12
1985
Eigenvalues of the Dirac operator. Zbl 0568.53022
Atiyah, Michael
3
1985
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
296
1984
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
115
1984
Instantons in two and four dimensions. Zbl 0564.58040
Atiyah, Michael F.
51
1984
The Yang-Mills equations and the structure of 4-manifolds. Zbl 0614.57007
Atiyah, M. F.
16
1984
The moment map in symplectic geometry. Zbl 0615.53023
Atiyah, M. F.
7
1984
Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
6
1984
The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014
Atiyah, Michael F.; Bott, Raoul
620
1983
Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026
Atiyah, Michael F.
29
1983
Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
24
1983
Convexity and loop groups. Zbl 0529.22013
Atiyah, Michael F.; Pressley, A. N.
7
1983
Convexity and commuting Hamiltonians. Zbl 0482.58013
Atiyah, Michael F.
272
1982
Green’s functions for self-dual four-manifolds. Zbl 0484.53036
Atiyah, Michael F.
2
1981
Yang-Mills and bundles over algebraic curves. Zbl 0499.14005
Atiyah, Michael F.; Bott, Raoul
2
1981
Geometrical aspects of gauge theories. Zbl 0428.58018
Atiyah, Michael F.
2
1980
Geometry of Yang-Mills fields. Zbl 0435.58001
Atiyah, Michael F.
106
1979
Erratum: A geometric construction of the discrete series for semisimple Lie groups. Zbl 0413.22009
Atiyah, Michael; Schmid, Wilfried
8
1979
The Harish-Chandra character. Zbl 0426.22014
Atiyah, Michael F.
1
1979
Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
517
1978
Construction of instantons. Zbl 0424.14004
Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I.
330
1978
Topological aspects of Yang-Mills theory. Zbl 0387.55009
Atiyah, Michael F.; Jones, J. D. S.
70
1978
The unity of mathematics. Zbl 0376.00001
Atiyah, Michael F.
1
1978
Instantons and algebraic geometry. Zbl 0362.14004
Atiyah, Michael F.; Ward, R. S.
108
1977
A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001
Atiyah, Michael; Schmid, Wilfried
70
1977
Deformations of instantons. Zbl 0356.58011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
17
1977
William Vallance Douglas Hodge. Zbl 0343.01010
Atiyah, Michael F.
1
1977
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
283
1976
Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015
Atiyah, Michael F.
131
1976
Vector bundles on projective 3-spaces. Zbl 0332.32020
Atiyah, Michael F.; Rees, E.
25
1976
Bakerian lecture, 1975. Global geometry. Zbl 0313.57001
Atiyah, Michael F.
3
1976
...and 73 more Documents
all top 5

Cited by 7,335 Authors

118 Biswas, Indranil
39 Atiyah, Michael Francis
38 Mathai, Varghese
31 Bismut, Jean-Michel
31 Gilkey, Peter B.
29 Carey, Alan L.
28 Witten, Edward
28 Zhang, Weiping
25 Savin, Anton Yur’evich
24 Freed, Daniel Stuart
24 Visweswaran, Subramanian
23 Popov, Alexander D.
22 Ballico, Edoardo
22 Hurtubise, Jacques C.
22 Nikandish, Reza
21 Nikmehr, Mohammad Javad
21 Pelayo, Alvaro
20 Davidov, Johann T.
19 Sternin, Boris Yur’evich
18 Dumitrescu, Sorin
18 García-Prada, Oscar
18 Jeffrey, Lisa Claire
17 Benameur, Moulay-Tahar
17 Guillemin, Victor W.
17 LeBrun, Claude R.
17 Moore, Gregory Winthrop
17 Szabo, Richard J.
16 Dobbs, David Earl
16 Gomi, Kiyonori
16 Gukov, Sergei
16 Murray, Michael K.
16 Sati, Hisham
16 Vergne, Michèle
15 Lechtenfeld, Olaf
15 Rosenberg, Jonathan Micah
15 Schulze, Bert-Wolfgang
15 Theriault, Stephen D.
14 Karoubi, Max
14 Morozov, Alexei Yurievich
14 Petrie, Ted
14 Salamon, Simon Montague
14 Schick, Thomas
14 Sutcliffe, Paul Michael
14 Vafa, Cumrun
14 Yu, Guoliang
13 Akbari, Saieed
13 Andersen, Jørgen Ellegaard
13 Heinzer, William J.
13 Huebschmann, Johannes
13 Jardim, Marcos
13 Kono, Akira
13 Park, Jinsung
13 Ruberman, Daniel
13 Schroers, Bernd J.
13 Waterstraat, Nils
13 Weinberger, Shmuel
12 Furutani, Kenro
12 Hochs, Peter
12 Itoh, Mitsuhiro
12 Kishimoto, Daisuke
12 Lott, John
12 Moroianu, Sergiu
12 Moscovici, Henri
12 Nekrasov, Nikita Alexandrovich
12 Schumacher, Georg
12 Sengupta, Ambar N.
12 Singer, Isadore Manuel
12 Taubes, Clifford Henry
12 Wu, Siye
11 Bott, Raoul Harry
11 Bruzzo, Ugo
11 Burban, Igor
11 Dai, Xianzhe
11 Donaldson, Simon Kirwan
11 Loya, Paul A.
11 Ma, Xiaonan
11 Mushkarov, Oleg K.
11 Nistor, Victor
11 Papadopoulos, George
11 Ponge, Raphaël S.
11 Selvakumar, Krishnan
11 Thomas, Charles Benedict
10 Ansari-Toroghy, Habibollah
10 Baum, Paul Frank
10 Boyer, Charles P.
10 Braverman, Maxim
10 Bytsenko, Andrei A.
10 Connes, Alain
10 Crabb, Michael C.
10 De Nittis, Giuseppe
10 Gibbons, Gary William
10 Gusein-Zade, Sabir M.
10 Han, Fei
10 Hitchin, Nigel James
10 Holm, Tara S.
10 Honda, Nobuhiro
10 Hu, Xijun
10 Karshon, Yael
10 Liu, Kefeng
10 Lomadze, Vakhtang
...and 7,235 more Authors
all top 5

Cited in 521 Serials

482 Communications in Mathematical Physics
335 Journal of Geometry and Physics
293 Advances in Mathematics
280 Transactions of the American Mathematical Society
275 Journal of High Energy Physics
247 Journal of Mathematical Physics
238 Mathematische Annalen
200 Journal of Algebra
198 Communications in Algebra
198 Inventiones Mathematicae
194 Nuclear Physics. B
191 Mathematische Zeitschrift
174 Journal of Pure and Applied Algebra
157 Proceedings of the American Mathematical Society
131 Journal of Functional Analysis
121 Topology and its Applications
117 Duke Mathematical Journal
92 International Journal of Mathematics
90 Annals of Global Analysis and Geometry
90 Differential Geometry and its Applications
89 Geometry & Topology
85 Compositio Mathematica
82 Algebraic & Geometric Topology
79 Manuscripta Mathematica
73 Letters in Mathematical Physics
71 Mathematical Proceedings of the Cambridge Philosophical Society
68 Journal of Algebra and its Applications
62 Bulletin of the American Mathematical Society. New Series
60 Annales de l’Institut Fourier
56 Publications of the Research Institute for Mathematical Sciences, Kyoto University
53 Bulletin of the American Mathematical Society
52 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
51 International Journal of Modern Physics A
48 Geometriae Dedicata
48 \(K\)-Theory
45 Theoretical and Mathematical Physics
45 Linear Algebra and its Applications
45 Journal of Mathematical Sciences (New York)
45 Comptes Rendus. Mathématique. Académie des Sciences, Paris
43 Journal für die Reine und Angewandte Mathematik
43 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
42 Journal of the American Mathematical Society
41 The Journal of Geometric Analysis
40 Tohoku Mathematical Journal. Second Series
39 Acta Mathematica
39 Functional Analysis and its Applications
39 Publications Mathématiques
38 Selecta Mathematica. New Series
38 Journal of Noncommutative Geometry
37 Israel Journal of Mathematics
37 Proceedings of the Japan Academy. Series A
37 International Journal of Geometric Methods in Modern Physics
34 Reviews in Mathematical Physics
34 Annali di Matematica Pura ed Applicata. Serie Quarta
32 Bulletin de la Société Mathématique de France
31 Archiv der Mathematik
31 Journal of Soviet Mathematics
30 Rocky Mountain Journal of Mathematics
30 Rendiconti del Seminario Matematico della Università di Padova
30 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
30 Journal of Knot Theory and its Ramifications
30 Journal of Algebraic Geometry
29 Journal of Symbolic Computation
28 Advances in Applied Clifford Algebras
27 Journal of \(K\)-Theory
26 Physics Letters. B
25 International Journal of Theoretical Physics
25 Journal of Number Theory
25 Mathematische Nachrichten
25 Geometric and Functional Analysis. GAFA
25 Transformation Groups
23 General Relativity and Gravitation
23 Journal of Mathematical Analysis and Applications
23 Annales Henri Poincaré
22 Acta Mathematica Sinica. English Series
22 Communications in Contemporary Mathematics
20 Bulletin of the Australian Mathematical Society
19 Journal of the European Mathematical Society (JEMS)
19 Proceedings of the Steklov Institute of Mathematics
19 Science China. Mathematics
18 Michigan Mathematical Journal
18 Nagoya Mathematical Journal
18 Bulletin des Sciences Mathématiques
18 Annals of Mathematics. Second Series
17 Mathematical Notes
17 Journal of the Mathematical Society of Japan
17 Communications in Partial Differential Equations
17 Nuclear Physics. B. Proceedings Supplements
17 Algebras and Representation Theory
16 Modern Physics Letters A
16 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
16 Journal of Differential Equations
16 Memoirs of the American Mathematical Society
16 Documenta Mathematica
16 Journal of Topology and Analysis
16 Discrete Mathematics, Algorithms and Applications
16 Complex Manifolds
15 Reports on Mathematical Physics
15 Integral Equations and Operator Theory
15 Proceedings of the Edinburgh Mathematical Society. Series II
...and 421 more Serials
all top 5

Cited in 62 Fields

1,961 Differential geometry (53-XX)
1,917 Algebraic geometry (14-XX)
1,770 Global analysis, analysis on manifolds (58-XX)
1,660 Quantum theory (81-XX)
1,365 Manifolds and cell complexes (57-XX)
948 Algebraic topology (55-XX)
884 Commutative algebra (13-XX)
755 Several complex variables and analytic spaces (32-XX)
500 \(K\)-theory (19-XX)
483 Relativity and gravitational theory (83-XX)
448 Associative rings and algebras (16-XX)
444 Partial differential equations (35-XX)
430 Group theory and generalizations (20-XX)
369 Topological groups, Lie groups (22-XX)
364 Functional analysis (46-XX)
342 Number theory (11-XX)
342 Dynamical systems and ergodic theory (37-XX)
287 Nonassociative rings and algebras (17-XX)
269 Combinatorics (05-XX)
262 Category theory; homological algebra (18-XX)
236 Operator theory (47-XX)
175 Linear and multilinear algebra; matrix theory (15-XX)
141 Mechanics of particles and systems (70-XX)
125 Functions of a complex variable (30-XX)
104 General topology (54-XX)
86 Statistical mechanics, structure of matter (82-XX)
81 Field theory and polynomials (12-XX)
73 Convex and discrete geometry (52-XX)
70 Computer science (68-XX)
68 Ordinary differential equations (34-XX)
56 Order, lattices, ordered algebraic structures (06-XX)
53 Mathematical logic and foundations (03-XX)
48 Abstract harmonic analysis (43-XX)
46 History and biography (01-XX)
42 Systems theory; control (93-XX)
41 Probability theory and stochastic processes (60-XX)
40 Geometry (51-XX)
39 Numerical analysis (65-XX)
37 Information and communication theory, circuits (94-XX)
32 Special functions (33-XX)
28 General and overarching topics; collections (00-XX)
28 Optics, electromagnetic theory (78-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
17 Mechanics of deformable solids (74-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
15 Measure and integration (28-XX)
14 Real functions (26-XX)
14 Difference and functional equations (39-XX)
14 Statistics (62-XX)
14 Operations research, mathematical programming (90-XX)
10 Potential theory (31-XX)
10 Approximations and expansions (41-XX)
10 Integral transforms, operational calculus (44-XX)
8 Integral equations (45-XX)
8 Biology and other natural sciences (92-XX)
7 Astronomy and astrophysics (85-XX)
4 General algebraic systems (08-XX)
4 Fluid mechanics (76-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Sequences, series, summability (40-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.