×

zbMATH — the first resource for mathematics

Atiyah, Michael Francis

Compute Distance To:
Author ID: atiyah.michael-francis Recent zbMATH articles by "Atiyah, Michael Francis"
Published as: Atiyah, M.; Atiyah, M. F.; Atiyah, Michael; Atiyah, Michael F.; Atiyah, Michael Francis; Atiyah, Sir Michael F.
Homepage: http://www.maths.ed.ac.uk/school-of-mathematics/people?person=75
External Links: MGP · Math-Net.Ru · Wikidata · Celebratio Mathematica · dblp · GND · MacTutor
Awards: Fields Medal (1966) · Abel Prize (2004)
Documents Indexed: 264 Publications since 1952, including 34 Books
Biographic References: 24 Publications
all top 5

Co-Authors

145 single-authored
19 Bott, Raoul Harry
18 Singer, Isadore M.
11 Hirzebruch, Friedrich
8 Hitchin, Nigel James
7 Patodi, Vijay Kumar
7 Segal, Graeme B.
4 Gårding, Lars
4 Schmid, Wilfried
3 Donnelly, Harold
3 Iagolnitzer, Daniel
3 Macdonald, Ian Grant
3 Manton, Nicholas S.
2 Bass, Hyman
2 Borel, Armand
2 Ellis, Joshua R.
2 Friedan, Daniel Harry
2 Gray, Jeremy John
2 Green, Michael B.
2 Hirsch, Morris W.
2 Hodge, William Vallance Douglas
2 Llewellyn-Smith, C. H.
2 Manin, Yuri Ivanovich
2 Mazur, Barry
2 Nirenberg, Louis
2 Schroers, Bernd J.
2 Sutcliffe, Paul J.
2 Tate, John Torrence jun.
2 Weinstein, Alan David
2 Witten, Edward
2 Zapata-Carratala, Carlos
1 Adams, John Frank
1 Arnol’d, Vladimir Igorevich
1 Artin, Michael
1 Bär, Christian
1 Berndt, Jürgen
1 Berry, Michael Victor
1 Bielawski, Roger
1 Bojarski, Bogdan
1 Boman, Jan
1 Bony, Jean-Michel
1 Bourguignon, Jean-Pierre
1 Brezin, Eva
1 Broström, Sofia
1 Brown, Ken
1 Bundy, Alan
1 Cartier, Pierre
1 Chaitin, Gregory J.
1 Chong, Chi Tat
1 Connes, Alain
1 Cuntz, Joachim
1 Cushman, Richard H.
1 Deligne, Pierre René
1 Demailly, Jean-Pierre
1 Demazure, Michel
1 Dijkgraaf, Robbert H.
1 do Carmo, Manfredo Perdigão
1 Drinfeld, Vladimir Gershonovich
1 Drury, Luke O’C.
1 Duflot, Jeanne
1 Dunajski, Maciej
1 Dupont, Johan L.
1 Franchetti, Guido
1 Friedlander, Eric Mark
1 Friedman, Art
1 Fröhlich, Jürg Martin
1 Gibbon, John D.
1 Glimm, James G.
1 Goldschmith, Brendan
1 Gowers, William Timothy
1 Grayson, Daniel Richard
1 Greenberg, Marvin Jay
1 Greene, Robert Everist
1 Greuel, Gert-Martin
1 Grubb, Gerd
1 Guillemin, Victor W.
1 Hartshorne, Robin
1 Heckman, Gert
1 Helgason, Sigurdur
1 Hopkins, Michael Jerome
1 Huang, Wenling
1 Illusie, Luc
1 Jackson, Allyn
1 Jacob, Maurice
1 Jaffe, Arthur Michael
1 Jeffrey, Lisa C.
1 Ji, Lizhen
1 Jones, John D. S.
1 Katz, Nicholas Michael
1 Kiselman, Christer Oscar
1 Kleiman, Steven Lawrence
1 Kolk, Johan A. C.
1 Kouneiher, Joseph
1 Kuh, Ernest Shiu-jen
1 Lax, Peter David
1 Lebowitz, Joel Louis
1 LeBrun, Claude R.
1 Lerner, Nicolas
1 Li, Jun
1 Loday, Jean-Louis
1 Mac Lane, Leslie Saunders
...and 45 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 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 European Mathematical Society Newsletter
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 Springer VideoMATH
1 International Journal of Modern Physics A
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 The Mathematical Gazette
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 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 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 Tata Institute of Fundamental Research. Studies in Mathematics
1 Mathematical Medley
1 Ukraïns’kyĭ Matematychnyĭ Visnyk
1 European Journal of Mathematics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Publications by Year

Citations contained in zbMATH

167 Publications have been cited 10,905 times in 8,026 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
570
1983
Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
488
1978
The index of elliptic operators. III. Zbl 0164.24301
Atiyah, Michael F.; Singer, I. M.
449
1968
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
440
1975
Construction of instantons. Zbl 0424.14004
Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I.
332
1978
Clifford modules. Zbl 0146.19001
Atiyah, Michael F.; Bott, Raoul; Shapiro, A.
331
1964
Complex analytic connections in fibre bundles. Zbl 0078.16002
Atiyah, Michael F.
288
1957
Vector bundles over an elliptic curve. Zbl 0084.17305
Atiyah, Michael F.
286
1957
The index of elliptic operators. I. Zbl 0164.24001
Atiyah, Michael F.; Singer, Isadore Manuel
285
1968
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
278
1984
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
261
1976
Convexity and commuting Hamiltonians. Zbl 0482.58013
Atiyah, Michael F.
246
1982
The geometry and dynamics of magnetic monopoles. Zbl 0671.53001
Atiyah, Michael; Hitchin, Nigel
227
1988
Topological quantum field theories. Zbl 0692.53053
Atiyah, Michael
214
1988
A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703
Atiyah, Michael F.; Bott, Raoul
192
1968
The index of elliptic operators. IV, V. Zbl 0212.28603
Atiyah, Michael F.; Singer, I. M.
182
1971
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
180
1973
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
161
1975
A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201
Atiyah, Michael F.; Bott, Raoul
134
1967
Vector bundles and homogeneous spaces. Zbl 0108.17705
Atiyah, Michael F.; Hirzebruch, Friedrich
131
1961
Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015
Atiyah, Michael F.
128
1976
The index of elliptic operators. II. Zbl 0164.24201
Atiyah, Michael F.; Segal, G. B.
127
1968
Geometry of Yang-Mills fields. Zbl 0435.58001
Atiyah, Michael F.
125
1979
K-theory and reality. Zbl 0146.19101
Atiyah, Michael F.
117
1966
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
113
1984
Equivariant K-theory and completion. Zbl 0215.24403
Atiyah, Michael F.; Segal, G. B.
112
1969
Instantons and algebraic geometry. Zbl 0362.14004
Atiyah, Michael F.; Ward, R. S.
106
1977
The index of elliptic operators on compact manifolds. Zbl 0118.31203
Atiyah, Michael F.; Singer, I. M.
103
1963
Resolution of singularities and division of distributions. Zbl 0188.19405
Atiyah, Michael F.
101
1970
Elliptic operators and compact groups. Zbl 0297.58009
Atiyah, Michael Francis
100
1974
Riemann surfaces and spin structures. Zbl 0212.56402
Atiyah, Michael F.
98
1971
Thom complexes. Zbl 0124.16301
Atiyah, Michael F.
93
1961
Characters and cohomology of finite groups. Zbl 0107.02303
Atiyah, Michael F.
93
1961
The geometry and physics of knots. Zbl 0729.57002
Atiyah, Michael
88
1990
Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503
Atiyah, Michael F.; Singer, I. M.
81
1969
Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
78
1970
On the Krull-Schmidt theorem with application to sheaves. Zbl 0072.18101
Atiyah, Michael F.
78
1956
M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065
Atiyah, Michael; Witten, Edward
72
2002
Group representations, \(\lambda\)-rings and the \(J\)-homomorphism. Zbl 0159.53301
Atiyah, Michael F.; Tall, D. O.
69
1969
Topological aspects of Yang-Mills theory. Zbl 0387.55009
Atiyah, Michael F.; Jones, J. D. S.
67
1978
An M-theory flop as a large \(N\) duality. Zbl 1061.81056
Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun
66
2001
Bott periodicity and the index of elliptic operators. Zbl 0159.53501
Atiyah, Michael F.
66
1968
A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001
Atiyah, Michael; Schmid, Wilfried
63
1977
Analytic cycles on complex manifolds. Zbl 0108.36401
Atiyah, Michael F.; Hirzebruch, Friedrich
62
1962
Low energy scattering of nonabelian monopoles. Zbl 1177.53069
Atiyah, M. F.; Hitchin, N. J.
60
1985
Power operations in K-theory. Zbl 0144.44901
Atiyah, Michael F.
57
1966
Riemann-Roch theorems for differentiable manifolds. Zbl 0142.40901
Atiyah, Michael F.; Hirzebruch, Friedrich
57
1959
On framings of 3-manifolds. Zbl 0716.57011
Atiyah, Michael
54
1990
Spin-manifolds and group actions. Zbl 0193.52401
Atiyah, Michael F.; Hirzebruch, Friedrich
52
1970
Twisted \(K\)-theory. Zbl 1151.55301
Atiyah, Michael; Segal, Graeme
51
2004
Instantons in two and four dimensions. Zbl 0564.58040
Atiyah, Michael F.
50
1984
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
45
1973
Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001
Atiyah, M. F.
44
1990
On analytic surfaces with double points. Zbl 0135.21301
Atiyah, Michael F.
41
1958
The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035
Atiyah, Michael
40
1987
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
39
2016
On equivariant Euler characteristics. Zbl 0708.19004
Atiyah, Michael; Segal, Graeme
37
1989
\(K\)-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. Zbl 0159.53401
Atiyah, Michael F.
36
1967
Topological Lagrangians and cohomology. Zbl 0721.58056
Atiyah, M. F.; Jeffrey, L.
34
1990
The index problem for manifolds with boundary. Zbl 0163.34603
Atiyah, Michael F.; Bott, Raoul
30
1964
Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026
Atiyah, Michael F.
29
1983
Vector bundles and the Künneth formula. Zbl 0108.17801
Atiyah, Michael F.
29
1962
Bordism and cobordism. Zbl 0104.17405
Atiyah, Michael F.
29
1961
Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045
Atiyah, Michael F.; Bott, Raoul; Gårding, Lars
28
1973
The Riemann-Roch theorem for analytic embeddings. Zbl 0108.36402
Atiyah, Michael F.; Hirzebruch, Friedrich
28
1962
Twisted \(K\)-theory and cohomology. Zbl 1138.19003
Atiyah, Michael; Segal, Graeme
27
2006
\(K\)-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.
27
1967
Vector bundles on projective 3-spaces. Zbl 0332.32020
Atiyah, Michael F.; Rees, E.
24
1976
Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes). Zbl 0109.16002
Atiyah, Michael F.; Hirzebruch, Friedrich
24
1961
Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048
Atiyah, Michael F.; Donnelly, H.; Singer, I. M.
23
1983
Vector fields with finite singularities. Zbl 0233.57010
Atiyah, Michael F.; Dupont, J. L.
22
1972
A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801
Atiyah, Michael F.; Bott, Raoul
22
1966
Complex fibre bundles and ruled surfaces. Zbl 0174.52804
Atiyah, Michael F.
22
1955
K-theory and the Hopf invariant. Zbl 0136.43903
Adams, J. F.; Atiyah, Michael F.
21
1966
On complex Stiefel manifolds. Zbl 0109.16102
Atiyah, Michael F.; Todd, J. A.
21
1960
Integrals of the second kind on an algebraic variety. Zbl 0068.34401
Hodge, W. V. D.; Atiyah, Michael F.
21
1955
New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018
Atiyah, Michael
19
1988
Circular symmetry and stationary-phase approximation. Zbl 0578.58039
Atiyah, Michael F.
19
1985
Vector fields on manifolds. Zbl 0193.52303
Atiyah, Michael F.
19
1970
The signature of fibre-bundles. Zbl 0193.52302
Atiyah, Michael F.
17
1969
On the periodicity theorem for complex vector bundles. Zbl 0131.38201
Atiyah, Michael F.; Bott, Raoul
17
1964
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
Deformations of instantons. Zbl 0356.58011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
16
1977
Global theory of elliptic operators. Zbl 0193.43601
Atiyah, Michael F.
16
1970
Curvature, cones and characteristic numbers. Zbl 1273.53041
Atiyah, Michael; Lebrun, Claude
15
2013
Polyhedra in physics, chemistry and geometry. Zbl 1050.52002
Atiyah, Michael; Sutcliffe, Paul
15
2003
The geometry and physics of knots. Zbl 0696.57002
Atiyah, M. F.
15
1989
Magnetic monopoles in hyperbolic spaces. Zbl 0722.53063
Atiyah, M. F.
15
1987
Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035
Atiyah, Michael; Hitchin, Nigel J.
15
1985
Immersions and embeddings of manifolds. Zbl 0109.41101
Atiyah, Michael F.
15
1962
The geometry of point particles. Zbl 1010.58015
Atiyah, Michael; Sutcliffe, Paul
14
2002
Some theorems of non-immersion for differentiable manifolds. Zbl 0196.55903
Atiyah, Michael F.; Hirzebruch, Friedrich
14
1959
Algebraic topology and elliptic operators. Zbl 0145.43804
Atiyah, Michael F.
13
1967
On the K-theory of compact Lie groups. Zbl 0136.21001
Atiyah, Michael F.
13
1965
Geometric models of matter. Zbl 1364.53046
Atiyah, M. F.; Manton, N. S.; Schroers, B. J.
12
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
Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004
Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J.
9
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.
9
2017
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
39
2016
Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022
Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); 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
Atiyah, Michael (ed.); Zagier, Don (ed.)
2
2014
Curvature, cones and characteristic numbers. Zbl 1273.53041
Atiyah, Michael; Lebrun, Claude
15
2013
Geometric models of matter. Zbl 1364.53046
Atiyah, M. F.; Manton, N. S.; Schroers, B. J.
12
2012
A shifted view of fundamental physics. Zbl 1238.83047
Atiyah, Michael; Moore, Gregory W.
2
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
27
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
51
2004
A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004
Atiyah, Michael; Hopkins, Michael
3
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
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
8
2003
M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065
Atiyah, Michael; Witten, Edward
72
2002
The geometry of point particles. Zbl 1010.58015
Atiyah, Michael; Sutcliffe, Paul
14
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
An M-theory flop as a large \(N\) duality. Zbl 1061.81056
Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun
66
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
Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.)
8
2000
The geometry of classical particles. Zbl 1050.55502
Atiyah, Michael
6
2000
Obituary: John Arthur Todd. Zbl 0927.01042
Atiyah, M. F.
1
1998
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
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
Atiyah, Michael (ed.); Iagolnitzer, Daniel (ed.)
1
1997
Quantum theory and geometry. Zbl 0860.58001
Atiyah, Michael
1
1995
Floer homology. Zbl 0837.58011
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
8
1991
The geometry and physics of knots. Zbl 0729.57002
Atiyah, Michael
88
1990
On framings of 3-manifolds. Zbl 0716.57011
Atiyah, Michael
54
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
Hyperkähler manifolds. Zbl 0699.53068
Atiyah, Michael
2
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
37
1989
The geometry and physics of knots. Zbl 0696.57002
Atiyah, M. F.
15
1989
K-theory. With notes by D. W. Anderson. Reprint. Zbl 0676.55006
Atiyah, Michael F.
4
1989
The geometry and dynamics of magnetic monopoles. Zbl 0671.53001
Atiyah, Michael; Hitchin, Nigel
227
1988
Topological quantum field theories. Zbl 0692.53053
Atiyah, Michael
214
1988
New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018
Atiyah, Michael
19
1988
Collected works. Volume 5: Gauge theories. Zbl 0691.53003
Atiyah, Michael
8
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
40
1987
Magnetic monopoles in hyperbolic spaces. Zbl 0722.53063
Atiyah, M. F.
15
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.
60
1985
Circular symmetry and stationary-phase approximation. Zbl 0578.58039
Atiyah, Michael F.
19
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
5
1985
The moment map and equivariant cohomology. Zbl 0521.58025
Atiyah, Michael F.; Bott, Raoul
278
1984
Dirac operators coupled to vector potentials. Zbl 0547.58033
Atiyah, Michael F.; Singer, I. M.
113
1984
Instantons in two and four dimensions. Zbl 0564.58040
Atiyah, Michael F.
50
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
570
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.
23
1983
Convexity and loop groups. Zbl 0529.22013
Atiyah, Michael F.; Pressley, A. N.
9
1983
Convexity and commuting Hamiltonians. Zbl 0482.58013
Atiyah, Michael F.
246
1982
Green’s functions for self-dual four-manifolds. Zbl 0484.53036
Atiyah, Michael F.
3
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.
125
1979
Erratum: A geometric construction of the discrete series for semisimple Lie groups. Zbl 0413.22009
Atiyah, Michael; Schmid, Wilfried
6
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.
488
1978
Construction of instantons. Zbl 0424.14004
Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I.
332
1978
Topological aspects of Yang-Mills theory. Zbl 0387.55009
Atiyah, Michael F.; Jones, J. D. S.
67
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.
106
1977
A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001
Atiyah, Michael; Schmid, Wilfried
63
1977
Deformations of instantons. Zbl 0356.58011
Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M.
16
1977
A survey of K-theory. Zbl 0345.55005
Atiyah, Michael F.
1
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.
261
1976
Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015
Atiyah, Michael F.
128
1976
Vector bundles on projective 3-spaces. Zbl 0332.32020
Atiyah, Michael F.; Rees, E.
24
1976
Bakerian lecture, 1975. Global geometry. Zbl 0313.57001
Atiyah, Michael F.
2
1976
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
440
1975
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
161
1975
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
7
1975
Elliptic operators and compact groups. Zbl 0297.58009
Atiyah, Michael Francis
100
1974
Compact Lie groups and the stable homotopy of spheres. Zbl 0282.55008
Atiyah, Michael F.; Smith, Larry
12
1974
...and 67 more Documents
all top 5

Cited by 7,052 Authors

103 Biswas, Indranil
39 Atiyah, Michael Francis
36 Mathai, Varghese
31 Bismut, Jean-Michel
29 Gilkey, Peter B.
28 Carey, Alan L.
28 Witten, Edward
28 Zhang, Weiping
22 Freed, Daniel Stuart
22 Popov, Alexander D.
22 Savin, Anton Yur’evich
22 Visweswaran, Subramanian
21 Ballico, Edoardo
21 Hurtubise, Jacques C.
19 Moore, Gregory Winthrop
19 Pelayo, Alvaro
19 Sternin, Boris Yur’evich
18 García-Prada, Oscar
17 Murray, Michael K.
17 Rosenberg, Jonathan Micah
16 Dobbs, David Earl
16 Guillemin, Victor W.
16 Jeffrey, Lisa C.
16 LeBrun, Claude R.
16 Morozov, Alexei Yurievich
16 Nikmehr, Mohammad Javad
16 Schulze, Bert-Wolfgang
16 Vergne, Michèle
15 Benameur, Moulay-Tahar
15 Davidov, Johann T.
15 Karoubi, Max
15 Sati, Hisham
15 Schroers, Bernd J.
14 Gomi, Kiyonori
14 Lechtenfeld, Olaf
14 Petrie, Ted
14 Sutcliffe, Paul M.
13 Akbari, Saieed
13 Andersen, Jørgen Ellegaard
13 Dumitrescu, Sorin
13 Heinzer, William J.
13 Huebschmann, Johannes
13 Jardim, Marcos
13 Kono, Akira
13 Nekrasov, Nikita Alexandrovich
13 Park, Jinsung
13 Salamon, Simon Montague
13 Schick, Thomas
13 Szabo, Richard J.
13 Vafa, Cumrun
13 Yu, Guoliang
12 Itoh, Mitsuhiro
12 Moscovici, Henri
12 Nikandish, Reza
12 Ponge, Raphaël S.
12 Ruberman, Daniel
12 Sengupta, Ambar N.
12 Singer, Isadore M.
12 Taubes, Clifford Henry
12 Theriault, Stephen D.
12 Weinberger, Shmuel
12 Wu, Siye
11 Bott, Raoul Harry
11 Dai, Xianzhe
11 Furutani, Kenro
11 Kishimoto, Daisuke
11 Lott, John
11 Loya, Paul A.
11 Ma, Xiaonan
11 Moroianu, Sergiu
11 Thomas, Charles Benedict
11 Waterstraat, Nils
10 Baum, Paul Frank
10 Boyer, Charles P.
10 Bruzzo, Ugo
10 Bytsenko, Andrei A.
10 Connes, Alain
10 Crabb, Michael C.
10 Cvetič, Mirjam
10 De Nittis, Giuseppe
10 Dessai, Anand Naique
10 Fontana, Marco
10 Gibbons, Gary William
10 Gukov, Sergei
10 Honda, Nobuhiro
10 Hu, Xijun
10 Karshon, Yael
10 Lomadze, Vakhtang
10 Mason, Lionel J.
10 Mushkarov, Oleg K.
10 Nistor, Victor
10 Papadopoulos, George
10 Paradan, Paul-Emile
10 Ratiu, Tudor Stefan
10 tom Dieck, Tammo
10 Wakabayashi, Seiichiro
10 Weitsman, Jonathan
10 Wentworth, Richard A.
10 Wojciechowski, Krzysztof P.
9 Baraglia, David
...and 6,952 more Authors
all top 5

Cited in 474 Serials

461 Communications in Mathematical Physics
327 Journal of Geometry and Physics
291 Journal of High Energy Physics
274 Transactions of the American Mathematical Society
268 Advances in Mathematics
247 Journal of Mathematical Physics
231 Mathematische Annalen
203 Nuclear Physics. B
199 Journal of Algebra
196 Inventiones Mathematicae
193 Communications in Algebra
176 Journal of Pure and Applied Algebra
172 Mathematische Zeitschrift
150 Proceedings of the American Mathematical Society
134 Journal of Functional Analysis
123 Topology and its Applications
112 Duke Mathematical Journal
90 Differential Geometry and its Applications
89 Geometry & Topology
82 Annals of Global Analysis and Geometry
82 Algebraic & Geometric Topology
79 International Journal of Mathematics
78 Compositio Mathematica
75 Manuscripta Mathematica
69 Mathematical Proceedings of the Cambridge Philosophical Society
61 Letters in Mathematical Physics
58 Journal of Algebra and its Applications
56 Publications of the Research Institute for Mathematical Sciences, Kyoto University
56 Bulletin of the American Mathematical Society. New Series
55 Annales de l’Institut Fourier
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 \(K\)-Theory
44 Linear Algebra and its Applications
44 Journal of Mathematical Sciences (New York)
42 Geometriae Dedicata
42 Journal of the American Mathematical Society
42 Comptes Rendus. Mathématique. Académie des Sciences, Paris
41 Theoretical and Mathematical Physics
39 Acta Mathematica
39 Functional Analysis and its Applications
39 Journal für die Reine und Angewandte Mathematik
38 Publications Mathématiques
38 Tohoku Mathematical Journal. Second Series
37 International Journal of Geometric Methods in Modern Physics
36 Proceedings of the Japan Academy. Series A
34 Israel Journal of Mathematics
34 Annali di Matematica Pura ed Applicata. Serie Quarta
33 Journal of Noncommutative Geometry
32 Bulletin de la Société Mathématique de France
32 The Journal of Geometric Analysis
32 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
31 Journal of Soviet Mathematics
31 Selecta Mathematica. New Series
30 Rocky Mountain Journal of Mathematics
30 Reviews in Mathematical Physics
30 Archiv der Mathematik
30 Rendiconti del Seminario Matematico della Università di Padova
29 Journal of Knot Theory and its Ramifications
27 Journal of Symbolic Computation
27 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
27 Journal of Algebraic Geometry
27 Journal of \(K\)-Theory
25 International Journal of Theoretical Physics
25 Journal of Number Theory
25 Mathematische Nachrichten
25 Geometric and Functional Analysis. GAFA
25 Transformation Groups
24 Physics Letters. B
23 General Relativity and Gravitation
23 Journal of Mathematical Analysis and Applications
23 Advances in Applied Clifford Algebras
20 Nuclear Physics, B, Proceedings Supplements
20 Annales Henri Poincaré
19 Bulletin des Sciences Mathématiques
19 Communications in Contemporary Mathematics
18 Bulletin of the Australian Mathematical Society
18 Acta Mathematica Sinica. English Series
17 Mathematical Notes
17 Journal of the Mathematical Society of Japan
17 Nagoya Mathematical Journal
17 Annals of Mathematics. Second Series
17 Journal of the European Mathematical Society (JEMS)
17 Proceedings of the Steklov Institute of Mathematics
16 Modern Physics Letters A
16 Reports on Mathematical Physics
16 Journal of Differential Equations
16 Michigan Mathematical Journal
16 Algebras and Representation Theory
16 Central European Journal of Mathematics
16 Science China. Mathematics
15 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
15 Integral Equations and Operator Theory
15 Communications in Partial Differential Equations
15 Discrete Mathematics, Algorithms and Applications
14 Fortschritte der Physik
14 Glasgow Mathematical Journal
14 Memoirs of the American Mathematical Society
14 Proceedings of the Edinburgh Mathematical Society. Series II
...and 374 more Serials
all top 5

Cited in 62 Fields

1,823 Differential geometry (53-XX)
1,783 Algebraic geometry (14-XX)
1,692 Global analysis, analysis on manifolds (58-XX)
1,620 Quantum theory (81-XX)
1,297 Manifolds and cell complexes (57-XX)
893 Algebraic topology (55-XX)
774 Commutative algebra (13-XX)
697 Several complex variables and analytic spaces (32-XX)
456 Relativity and gravitational theory (83-XX)
453 \(K\)-theory (19-XX)
421 Partial differential equations (35-XX)
405 Associative rings and algebras (16-XX)
403 Group theory and generalizations (20-XX)
350 Topological groups, Lie groups (22-XX)
345 Functional analysis (46-XX)
330 Dynamical systems and ergodic theory (37-XX)
312 Number theory (11-XX)
266 Nonassociative rings and algebras (17-XX)
230 Category theory; homological algebra (18-XX)
225 Operator theory (47-XX)
215 Combinatorics (05-XX)
164 Linear and multilinear algebra; matrix theory (15-XX)
124 Mechanics of particles and systems (70-XX)
120 Functions of a complex variable (30-XX)
85 General topology (54-XX)
77 Statistical mechanics, structure of matter (82-XX)
76 Field theory and polynomials (12-XX)
72 Convex and discrete geometry (52-XX)
67 Computer science (68-XX)
65 Ordinary differential equations (34-XX)
47 Abstract harmonic analysis (43-XX)
46 Systems theory; control (93-XX)
45 Mathematical logic and foundations (03-XX)
43 Order, lattices, ordered algebraic structures (06-XX)
41 History and biography (01-XX)
37 Probability theory and stochastic processes (60-XX)
36 Geometry (51-XX)
36 Information and communication theory, circuits (94-XX)
32 Numerical analysis (65-XX)
30 Special functions (33-XX)
28 Optics, electromagnetic theory (78-XX)
24 General and overarching topics; collections (00-XX)
16 Operations research, mathematical programming (90-XX)
15 Real functions (26-XX)
15 Mechanics of deformable solids (74-XX)
14 Measure and integration (28-XX)
14 Difference and functional equations (39-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
11 Integral transforms, operational calculus (44-XX)
9 Potential theory (31-XX)
9 Approximations and expansions (41-XX)
9 Statistics (62-XX)
8 Integral equations (45-XX)
8 Biology and other natural sciences (92-XX)
7 Astronomy and astrophysics (85-XX)
5 General algebraic systems (08-XX)
5 Fluid mechanics (76-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Classical thermodynamics, heat transfer (80-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.