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Atiyah, Michael Francis (b. 1929 d. 2019)

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
Videos: carmin.tv
Awards: Fields Medal (1966) · Abel Prize (2004)
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Co-Authors

146 single-authored
20 Bott, Raoul Harry
19 Singer, Isadore Manuel
11 Hirzebruch, Friedrich
8 Hitchin, Nigel
8 Patodi, Vijay Kumar
8 Segal, Graeme B.
4 Gårding, Lars
4 Macdonald, Ian Grant
4 Schmid, Wilfried
4 Tate, John Torrence jun.
3 Anderson, Donald W.
3 Borel, Armand
3 Donnelly, Harold
3 Hodge, William Vallance Douglas
3 Iagolnitzer, Daniel
3 Manton, Nicholas S.
3 Nirenberg, Louis
3 Serre, Jean-Pierre
2 Bass, Hyman
2 Deligne, Pierre
2 Friedan, Daniel Harry
2 Gray, Jeremy
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, Yuriĭ 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 Wall, Charles Terence Clegg
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 Berry, Michael
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 John
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 Floyd, E. E.
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
...and 122 more Co-Authors
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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 World Scientific Series in 20th Century 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 (Beijing)
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 Mathematics Today (Southend-on-Sea)
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 Bonner Mathematische Schriften
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

186 Publications have been cited 14,695 times in 10,810 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
763
1983
Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
608
1978
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
593
1975
The index of elliptic operators. III. Zbl 0164.24301
Atiyah, Michael F.; Singer, I. M.
525
1968
Construction of instantons. Zbl 0424.14004
Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I.
488
1978
Clifford modules. Zbl 0146.19001
Atiyah, Michael F.; Bott, Raoul; Shapiro, A.
418
1964
Algebraic number theory. Zbl 0153.07403
403
1967
Complex analytic connections in fibre bundles. Zbl 0078.16002
Atiyah, Michael F.
390
1957
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
379
1976
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
371
1984
Vector bundles over an elliptic curve. Zbl 0084.17305
Atiyah, Michael F.
364
1957
The index of elliptic operators. I. Zbl 0164.24001
Atiyah, Michael F.; Singer, Isadore Manuel
342
1968
Topological quantum field theories. Zbl 0692.53053
Atiyah, Michael
338
1988
Convexity and commuting Hamiltonians. Zbl 0482.58013
Atiyah, Michael F.
332
1982
The index of elliptic operators. IV, V. Zbl 0212.28603
Atiyah, Michael F.; Singer, I. M.
285
1971
The geometry and dynamics of magnetic monopoles. Zbl 0671.53001
Atiyah, Michael; Hitchin, Nigel
260
1988
A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703
Atiyah, Michael F.; Bott, Raoul
227
1968
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
220
1975
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
219
1973
Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015
Atiyah, Michael F.
186
1976
K-theory and reality. Zbl 0146.19101
Atiyah, Michael F.
171
1966
Vector bundles and homogeneous spaces. Zbl 0108.17705
Atiyah, Michael F.; Hirzebruch, Friedrich
171
1961
A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201
Atiyah, Michael F.; Bott, Raoul
165
1967
The index of elliptic operators on compact manifolds. Zbl 0118.31203
Atiyah, Michael F.; Singer, I. M.
155
1963
The index of elliptic operators. II. Zbl 0164.24201
Atiyah, Michael F.; Segal, G. B.
152
1968
Equivariant \(K\)-theory and completion. Zbl 0215.24403
Atiyah, Michael F.; Segal, G. B.
151
1969
Geometry of Yang-Mills fields. Zbl 0435.58001
Atiyah, Michael F.
150
1979
Riemann surfaces and spin structures. Zbl 0212.56402
Atiyah, Michael F.
139
1971
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
139
1984
Elliptic operators and compact groups. Zbl 0297.58009
Atiyah, Michael Francis
137
1974
Instantons and algebraic geometry. Zbl 0362.14004
Atiyah, Michael F.; Ward, R. S.
134
1977
Resolution of singularities and division of distributions. Zbl 0188.19405
Atiyah, Michael F.
125
1970
Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503
Atiyah, Michael F.; Singer, I. M.
122
1969
The geometry and physics of knots. Zbl 0729.57002
Atiyah, Michael
110
1990
Thom complexes. Zbl 0124.16301
Atiyah, Michael F.
108
1961
On the Krull-Schmidt theorem with application to sheaves. Zbl 0072.18101
Atiyah, Michael F.
105
1956
M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065
Atiyah, Michael; Witten, Edward
95
2002
Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
91
1970
Group representations, \(\lambda\)-rings and the \(J\)-homomorphism. Zbl 0159.53301
Atiyah, Michael F.; Tall, D. O.
91
1969
A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001
Atiyah, Michael; Schmid, Wilfried
88
1977
Characters and cohomology of finite groups. Zbl 0107.02303
Atiyah, Michael F.
88
1961
Low energy scattering of nonabelian monopoles. Zbl 1177.53069
Atiyah, M. F.; Hitchin, N. J.
85
1985
An M-theory flop as a large \(N\) duality. Zbl 1061.81056
Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun
85
2001
Twisted \(K\)-theory. Zbl 1151.55301
Atiyah, Michael; Segal, Graeme
84
2004
Topological aspects of Yang-Mills theory. Zbl 0387.55009
Atiyah, Michael F.; Jones, J. D. S.
83
1978
Bott periodicity and the index of elliptic operators. Zbl 0159.53501
Atiyah, Michael F.
83
1968
Analytic cycles on complex manifolds. Zbl 0108.36401
Atiyah, Michael F.; Hirzebruch, Friedrich
81
1962
The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500
Hawking, Stephen; Penrose, Roger
78
1996
Spin-manifolds and group actions. Zbl 0193.52401
Atiyah, Michael F.; Hirzebruch, Friedrich
76
1970
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
76
2016
\(K\)-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.
75
1967
Riemann-Roch theorems for differentiable manifolds. Zbl 0142.40901
Atiyah, Michael F.; Hirzebruch, Friedrich
69
1959
Instantons in two and four dimensions. Zbl 0564.58040
Atiyah, Michael F.
66
1984
On framings of 3-manifolds. Zbl 0716.57011
Atiyah, Michael
66
1990
Power operations in K-theory. Zbl 0144.44901
Atiyah, Michael F.
64
1966
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
62
1973
On analytic surfaces with double points. Zbl 0135.21301
Atiyah, Michael F.
59
1958
The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035
Atiyah, Michael
54
1987
The signature of fibre-bundles. Zbl 0193.52302
Atiyah, Michael F.
52
1969
On equivariant Euler characteristics. Zbl 0708.19004
Atiyah, Michael; Segal, Graeme
52
1989
The index problem for manifolds with boundary. Zbl 0163.34603
Atiyah, Michael F.; Bott, Raoul
50
1964
Circular symmetry and stationary-phase approximation. Zbl 0578.58039
Atiyah, Michael F.
46
1985
Topological Lagrangians and cohomology. Zbl 0721.58056
Atiyah, M. F.; Jeffrey, L.
45
1990
\(K\)-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.
45
1967
Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001
Atiyah, M. F.
44
1990
Bordism and cobordism. Zbl 0104.17405
Atiyah, Michael F.
43
1961
New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018
Atiyah, Michael
41
1988
Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
40
1973
Global theory of elliptic operators. Zbl 0193.43601
Atiyah, Michael F.
36
1970
Twisted \(K\)-theory and cohomology. Zbl 1138.19003
Atiyah, Michael; Segal, Graeme
36
2006
The Riemann-Roch theorem for analytic embeddings. Zbl 0108.36402
Atiyah, Michael F.; Hirzebruch, Friedrich
36
1962
Vector bundles and the Künneth formula. Zbl 0108.17801
Atiyah, Michael F.
36
1962
Cohomology of groups. Zbl 1494.20079
Atiyah, M. F.; Wall, C. T. C.
35
1967
A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801
Atiyah, Michael F.; Bott, Raoul
33
1966
Vector bundles on projective 3-spaces. Zbl 0332.32020
Atiyah, Michael F.; Rees, E.
31
1976
Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026
Atiyah, Michael F.
31
1983
Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes). Zbl 0109.16002
Atiyah, Michael F.; Hirzebruch, Friedrich
30
1961
Complex fibre bundles and ruled surfaces. Zbl 0174.52804
Atiyah, Michael F.
30
1955
Geometry and kinematics of two Skyrmions. Zbl 0778.53051
Atiyah, M. F.; Manton, N. S.
29
1993
Deformations of instantons. Zbl 0356.58011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
29
1977
Curvature, cones and characteristic numbers. Zbl 1273.53041
Atiyah, Michael; Lebrun, Claude
28
2013
Vector fields on manifolds. Zbl 0193.52303
Atiyah, Michael F.
28
1970
Integrals of the second kind on an algebraic variety. Zbl 0068.34401
Hodge, W. V. D.; Atiyah, Michael F.
28
1955
K-theory and the Hopf invariant. Zbl 0136.43903
Adams, J. F.; Atiyah, Michael F.
27
1966
Vector fields with finite singularities. Zbl 0233.57010
Atiyah, Michael F.; Dupont, J. L.
26
1972
On complex Stiefel manifolds. Zbl 0109.16102
Atiyah, Michael F.; Todd, J. A.
26
1960
Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
25
1983
Fields Medallists’ lectures. Zbl 0913.01020
24
1997
K-theory. With notes by D. W. Anderson. Reprint. Zbl 0676.55006
Atiyah, Michael F.
22
1989
On the periodicity theorem for complex vector bundles. Zbl 0131.38201
Atiyah, Michael F.; Bott, Raoul
22
1964
Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004
Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J.
20
2017
Polyhedra in physics, chemistry and geometry. Zbl 1050.52002
Atiyah, Michael; Sutcliffe, Paul
20
2003
The geometry of point particles. Zbl 1010.58015
Atiyah, Michael; Sutcliffe, Paul
18
2002
Convexity and loop groups. Zbl 0529.22013
Atiyah, Michael F.; Pressley, A. N.
17
1983
Immersions and embeddings of manifolds. Zbl 0109.41101
Atiyah, Michael F.
17
1962
Geometric models of matter. Zbl 1364.53046
Atiyah, M. F.; Manton, N. S.; Schroers, B. J.
16
2012
The geometry and physics of knots. Zbl 0696.57002
Atiyah, M. F.
16
1989
The Yang-Mills equations and the structure of 4-manifolds. Zbl 0614.57007
Atiyah, M. F.
16
1984
Algebraic topology and elliptic operators. Zbl 0145.43804
Atiyah, Michael F.
16
1967
Complex geometry of nuclei and atoms. Zbl 1432.81069
Atiyah, M. F.; Manton, N. S.
1
2019
The relativistic geometry and dynamics of electrons. Zbl 1391.81206
Atiyah, M. F.; Malkoun, Joseph
2
2018
Understanding the 6-dimensional sphere. Zbl 1425.53088
Atiyah, Michael
1
2018
Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004
Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J.
20
2017
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
76
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.
2
2015
Friedrich Hirzebruch (1927–2012). Zbl 1338.01024
2
2014
Curvature, cones and characteristic numbers. Zbl 1273.53041
Atiyah, Michael; Lebrun, Claude
28
2013
Geometric models of matter. Zbl 1364.53046
Atiyah, M. F.; Manton, N. S.; Schroers, B. J.
16
2012
A shifted view of fundamental physics. Zbl 1238.83047
Atiyah, Michael; Moore, Gregory W.
3
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
2
2011
Geometry and physics. Zbl 1420.57003
Atiyah, Michael; Dijkgraaf, Robbert; Hitchin, Nigel
5
2010
Obituary: Raoul Harry Bott, FRS, 1923-2005. Zbl 1181.01039
Atiyah, Michael
2
2010
Twisted \(K\)-theory and cohomology. Zbl 1138.19003
Atiyah, Michael; Segal, Graeme
36
2006
Mathematics: art and science. Zbl 1121.00307
Atiyah, Michael
2
2006
The interface between mathematics and physics: a panel discussion sponsored by the DIT & the RIA. Academy House, 6th September 2005. Panellist: Prof. Sir Michael Atiyah; Prof Sir Michael Berry; Prof Luke Drury; Prof Arthur Jaffe; Prof Brendan Goldsmith (Chair). Zbl 1186.00036
Atiyah, Michael; Berry, Michael; Drury, Luke; Jaffe, Arthur; Goldschmith, Brendan
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
84
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.
3
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
20
2003
Projective planes, Severi varieties and spheres. Zbl 1057.53040
Atiyah, Michael; Berndt, Jürgen
12
2003
M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065
Atiyah, Michael; Witten, Edward
95
2002
The geometry of point particles. Zbl 1010.58015
Atiyah, Michael; Sutcliffe, Paul
18
2002
Nahm’s equations, configuration spaces and flag manifolds. Zbl 1022.22007
Atiyah, Michael; Bielawski, Roger
8
2002
Mathematics in the 20th century. Zbl 1022.01007
Atiyah, Michael
7
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
85
2001
Configurations of points. Zbl 1037.58007
Atiyah, Michael
15
2001
\(K\)-theory past and present. Zbl 1061.19500
Atiyah, Michael
5
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
15
2000
The geometry of classical particles. Zbl 1050.55502
Atiyah, Michael
8
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.
4
1998
Obituary: John Arthur Todd. Zbl 0927.01042
Atiyah, M. F.
1
1998
Fields Medallists’ lectures. Zbl 0913.01020
24
1997
An introduction to topological quantum field theories. Zbl 0890.57019
Atiyah, Michael
4
1997
Geometry and physics: Where are we going? Zbl 0865.53063
Atiyah, Michael
2
1997
The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500
Hawking, Stephen; Penrose, Roger
78
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
3
1995
Quantum theory and geometry. Zbl 0860.58001
Atiyah, Michael
2
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
15
1994
Geometry and kinematics of two Skyrmions. Zbl 0778.53051
Atiyah, M. F.; Manton, N. S.
29
1993
Magnetic monopoles and the Yang-Baxter equations. Zbl 0757.53038
Atiyah, Michael
9
1991
The geometry and physics of knots. Zbl 0729.57002
Atiyah, Michael
110
1990
On framings of 3-manifolds. Zbl 0716.57011
Atiyah, Michael
66
1990
Topological Lagrangians and cohomology. Zbl 0721.58056
Atiyah, M. F.; Jeffrey, L.
45
1990
Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001
Atiyah, M. F.
44
1990
Hyperkähler manifolds. Zbl 0699.53068
Atiyah, Michael
5
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
On equivariant Euler characteristics. Zbl 0708.19004
Atiyah, Michael; Segal, Graeme
52
1989
K-theory. With notes by D. W. Anderson. Reprint. Zbl 0676.55006
Atiyah, Michael F.
22
1989
The geometry and physics of knots. Zbl 0696.57002
Atiyah, M. F.
16
1989
The theory and applications of harmonic integrals. Reissued, with a foreword by Sir Michael Atiyah. Zbl 0693.14002
Hodge, W. V. D.
11
1989
Topological quantum field theories. Zbl 0692.53053
Atiyah, Michael
338
1988
The geometry and dynamics of magnetic monopoles. Zbl 0671.53001
Atiyah, Michael; Hitchin, Nigel
260
1988
New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018
Atiyah, Michael
41
1988
Collected works. Volume 5: Gauge theories. Zbl 0691.53003
Atiyah, Michael
9
1988
Collected works. Volume 2: \(K\)-Theory. Zbl 0724.55001
Atiyah, Michael
6
1988
The impact of physics on geometry. Zbl 0657.53054
Atiyah, Michael
1
1988
Topology and differential equations. Zbl 0687.35001
Atiyah, Michael
1
1988
The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035
Atiyah, Michael
54
1987
Magnetic monopoles in hyperbolic spaces. Zbl 0688.53027
Atiyah, M. F.
13
1987
Magnetic monopoles in hyperbolic spaces. Zbl 0722.53063
Atiyah, M. F.
12
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.
85
1985
Circular symmetry and stationary-phase approximation. Zbl 0578.58039
Atiyah, Michael F.
46
1985
Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035
Atiyah, Michael; Hitchin, Nigel J.
15
1985
Eigenvalues of the Dirac operator. Zbl 0568.53022
Atiyah, Michael
8
1985
Topological aspects of anomalies. Zbl 0651.58035
Atiyah, Michael
1
1985
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
371
1984
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
139
1984
Instantons in two and four dimensions. Zbl 0564.58040
Atiyah, Michael F.
66
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.
8
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
763
1983
Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026
Atiyah, Michael F.
31
1983
Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
25
1983
Convexity and loop groups. Zbl 0529.22013
Atiyah, Michael F.; Pressley, A. N.
17
1983
Convexity and commuting Hamiltonians. Zbl 0482.58013
Atiyah, Michael F.
332
1982
Geometry and analysis of Shimizu L-functions. Zbl 0503.12007
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
2
1982
Green’s functions for self-dual four-manifolds. Zbl 0484.53036
Atiyah, Michael F.
10
1981
Yang-Mills and bundles over algebraic curves. Zbl 0499.14005
Atiyah, Michael F.; Bott, Raoul
4
1981
Geometrical aspects of gauge theories. Zbl 0428.58018
Atiyah, Michael F.
3
1980
Real and complex geometry in four dimensions. Zbl 0454.53043
Atiyah, Michael F.
1
1980
Geometry of Yang-Mills fields. Zbl 0435.58001
Atiyah, Michael F.
150
1979
Erratum: A geometric construction of the discrete series for semisimple Lie groups. Zbl 0413.22009
Atiyah, Michael; Schmid, Wilfried
9
1979
The Harish-Chandra character. Zbl 0426.22014
Atiyah, Michael F.
2
1979
Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
608
1978
Construction of instantons. Zbl 0424.14004
Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I.
488
1978
Topological aspects of Yang-Mills theory. Zbl 0387.55009
Atiyah, Michael F.; Jones, J. D. S.
83
1978
The unity of mathematics. Zbl 0376.00001
Atiyah, Michael F.
2
1978
Instantons and algebraic geometry. Zbl 0362.14004
Atiyah, Michael F.; Ward, R. S.
134
1977
...and 86 more Documents
all top 5

Cited by 9,291 Authors

148 Biswas, Indranil
40 Atiyah, Michael Francis
40 Mathai, Varghese
35 Bismut, Jean-Michel
35 Savin, Anton Yur’evich
32 Carey, Alan L.
32 Witten, Edward
31 Gilkey, Peter B.
31 Visweswaran, Subramanian
31 Zhang, Weiping
28 Nikandish, Reza
27 Ballico, Edoardo
26 Dumitrescu, Sorin
26 Freed, Daniel Stuart
26 Hurtubise, Jacques C.
26 Popov, Alexander D.
25 Pelayo, Alvaro
23 García-Prada, Oscar
23 Jeffrey, Lisa Claire
23 Nikmehr, Mohammad Javad
22 Davidov, Johann T.
22 Sternin, Boris Yur’evich
21 Sati, Hisham
20 Benameur, Moulay-Tahar
20 Dobbs, David Earl
20 Moore, Gregory Winthrop
20 Morozov, Alexei Yurievich
20 Schulze, Bert-Wolfgang
19 Murray, Michael K.
19 Szabo, Richard J.
18 Gomi, Kiyonori
18 Rosenberg, Jonathan Micah
18 Schick, Thomas
18 Waterstraat, Nils
17 Guillemin, Victor W.
17 Karoubi, Max
17 LeBrun, Claude R.
17 Lechtenfeld, Olaf
17 Mason, Lionel J.
17 Nekrasov, Nikita Alexandrovich
17 Ruberman, Daniel
16 Andersen, Jørgen Ellegaard
16 Gukov, Sergei
16 Jardim, Marcos
16 Salamon, Simon Montague
16 Schroers, Bernd J.
16 Sutcliffe, Paul Michael
16 Theriault, Stephen D.
16 Vergne, Michèle
16 Wang, Hang
16 Yu, Guoliang
15 Huebschmann, Johannes
15 Kishimoto, Daisuke
15 Ma, Xiaonan
15 Svanes, Eirik Eik
15 Vafa, Cumrun
14 Akbari, Saieed
14 Bruzzo, Ugo
14 De Nittis, Giuseppe
14 Hochs, Peter
14 Kauffman, Louis Hirsch
14 Park, Jinsung
14 Petrie, Ted
14 Selvakumar, Krishnan
14 Sengupta, Ambar N.
14 Weinberger, Shmuel
13 Baraglia, David
13 Braverman, Maxim
13 Connes, Alain
13 Cvetič, Mirjam
13 Dai, Xianzhe
13 Finocchiaro, Carmelo Antonio
13 Gusein-Zade, Sabir M.
13 Heinzer, William J.
13 Hitchin, Nigel
13 Kono, Akira
13 Lück, Wolfgang
13 Nakazato, Hiroshi
13 Piazza, Paolo
13 Singer, Isadore Manuel
13 Taubes, Clifford Henry
12 Burban, Igor
12 Chien, Mao-Ting
12 Crabb, Michael C.
12 Furutani, Kenro
12 Gibbons, Gary William
12 Glazebrook, James F.
12 Honda, Nobuhiro
12 Hopkins, Michael Jerome
12 Itoh, Mitsuhiro
12 Kirwan, Frances Clare
12 Lott, John
12 Loya, Paul A.
12 Mironov, Andrei D.
12 Moroianu, Sergiu
12 Moscovici, Henri
12 Papadopoulos, George
12 Paradan, Paul-Emile
12 Ratiu, Tudor Stefan
12 Rayan, Steven
...and 9,191 more Authors
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Cited in 614 Serials

513 Communications in Mathematical Physics
480 Journal of High Energy Physics
388 Journal of Geometry and Physics
342 Advances in Mathematics
300 Transactions of the American Mathematical Society
293 Nuclear Physics. B
268 Journal of Mathematical Physics
259 Mathematische Annalen
225 Journal of Algebra
223 Mathematische Zeitschrift
220 Communications in Algebra
206 Inventiones Mathematicae
199 Journal of Pure and Applied Algebra
173 Proceedings of the American Mathematical Society
157 Journal of Functional Analysis
139 Topology and its Applications
122 Duke Mathematical Journal
117 Geometry & Topology
106 Algebraic & Geometric Topology
104 International Journal of Mathematics
101 Differential Geometry and its Applications
98 Compositio Mathematica
96 Annals of Global Analysis and Geometry
87 Manuscripta Mathematica
85 Letters in Mathematical Physics
84 Journal of Algebra and its Applications
82 Physics Letters. B
73 Mathematical Proceedings of the Cambridge Philosophical Society
69 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
68 Annales de l’Institut Fourier
67 Bulletin of the American Mathematical Society. New Series
61 Geometriae Dedicata
60 Journal für die Reine und Angewandte Mathematik
60 The Journal of Geometric Analysis
58 Publications of the Research Institute for Mathematical Sciences, Kyoto University
56 International Journal of Modern Physics A
56 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
55 Linear Algebra and its Applications
54 Comptes Rendus. Mathématique. Académie des Sciences, Paris
53 Bulletin of the American Mathematical Society
53 Journal of Noncommutative Geometry
50 Journal of Mathematical Sciences (New York)
48 Theoretical and Mathematical Physics
48 \(K\)-Theory
48 Selecta Mathematica. New Series
47 Israel Journal of Mathematics
47 Annals of Physics
45 International Journal of Geometric Methods in Modern Physics
43 Reviews in Mathematical Physics
43 Journal of the American Mathematical Society
42 Journal of Topology
41 Publications Mathématiques
40 Functional Analysis and its Applications
40 Tôhoku Mathematical Journal. Second Series
39 Acta Mathematica
39 Annali di Matematica Pura ed Applicata. Serie Quarta
39 Bulletin de la Société Mathématique de France
39 Mathematische Nachrichten
38 Proceedings of the Japan Academy. Series A
38 Annales Henri Poincaré
38 Journal of Physics A: Mathematical and Theoretical
36 Journal of Symbolic Computation
36 Advances in Applied Clifford Algebras
35 Rocky Mountain Journal of Mathematics
35 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
35 Journal of Knot Theory and its Ramifications
34 Journal of Number Theory
33 Journal of the London Mathematical Society. Second Series
33 Transformation Groups
32 Journal of Mathematical Analysis and Applications
32 Archiv der Mathematik
32 Rendiconti del Seminario Matematico della Università di Padova
31 Journal of Soviet Mathematics
31 Nuclear Physics. B. Proceedings Supplements
30 Journal of Algebraic Geometry
28 Geometric and Functional Analysis. GAFA
27 Journal of \(K\)-Theory
26 Proceedings of the London Mathematical Society. Third Series
26 Bulletin des Sciences Mathématiques
26 Acta Mathematica Sinica. English Series
25 General Relativity and Gravitation
25 International Journal of Theoretical Physics
25 Fortschritte der Physik
25 Memoirs of the American Mathematical Society
25 Michigan Mathematical Journal
25 Algebras and Representation Theory
25 Communications in Contemporary Mathematics
24 Journal of the European Mathematical Society (JEMS)
23 Reports on Mathematical Physics
23 Science China. Mathematics
22 Bulletin of the Australian Mathematical Society
22 Bulletin of the London Mathematical Society
22 Nagoya Mathematical Journal
22 Forum Mathematicum
22 Journal of the Institute of Mathematics of Jussieu
22 Proceedings of the Steklov Institute of Mathematics
21 Journal of Differential Geometry
20 Documenta Mathematica
20 Annals of Mathematics. Second Series
20 European Journal of Mathematics
...and 514 more Serials
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Cited in 63 Fields

2,474 Algebraic geometry (14-XX)
2,354 Differential geometry (53-XX)
2,297 Quantum theory (81-XX)
2,120 Global analysis, analysis on manifolds (58-XX)
1,669 Manifolds and cell complexes (57-XX)
1,140 Algebraic topology (55-XX)
1,139 Commutative algebra (13-XX)
933 Several complex variables and analytic spaces (32-XX)
649 Relativity and gravitational theory (83-XX)
630 \(K\)-theory (19-XX)
585 Associative rings and algebras (16-XX)
541 Group theory and generalizations (20-XX)
541 Partial differential equations (35-XX)
476 Number theory (11-XX)
465 Functional analysis (46-XX)
453 Topological groups, Lie groups (22-XX)
411 Dynamical systems and ergodic theory (37-XX)
389 Combinatorics (05-XX)
373 Nonassociative rings and algebras (17-XX)
337 Category theory; homological algebra (18-XX)
310 Operator theory (47-XX)
232 Linear and multilinear algebra; matrix theory (15-XX)
195 Mechanics of particles and systems (70-XX)
157 Functions of a complex variable (30-XX)
129 General topology (54-XX)
109 Statistical mechanics, structure of matter (82-XX)
107 Computer science (68-XX)
103 Field theory and polynomials (12-XX)
95 Convex and discrete geometry (52-XX)
83 Ordinary differential equations (34-XX)
75 Order, lattices, ordered algebraic structures (06-XX)
72 History and biography (01-XX)
69 Mathematical logic and foundations (03-XX)
63 Abstract harmonic analysis (43-XX)
61 Geometry (51-XX)
60 Probability theory and stochastic processes (60-XX)
52 Information and communication theory, circuits (94-XX)
49 General and overarching topics; collections (00-XX)
49 Numerical analysis (65-XX)
47 Systems theory; control (93-XX)
44 Optics, electromagnetic theory (78-XX)
39 Special functions (33-XX)
31 Harmonic analysis on Euclidean spaces (42-XX)
25 Real functions (26-XX)
23 Statistics (62-XX)
22 Difference and functional equations (39-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
20 Measure and integration (28-XX)
20 Mechanics of deformable solids (74-XX)
18 Operations research, mathematical programming (90-XX)
15 Approximations and expansions (41-XX)
14 Potential theory (31-XX)
13 Integral transforms, operational calculus (44-XX)
9 Fluid mechanics (76-XX)
9 Astronomy and astrophysics (85-XX)
9 Biology and other natural sciences (92-XX)
7 Integral equations (45-XX)
6 General algebraic systems (08-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Sequences, series, summability (40-XX)
2 Mathematics education (97-XX)
1 Geophysics (86-XX)

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