Edit Profile (opens in new tab) Atiyah, Michael Francis (b. 1929 d. 2019) Co-Author Distance Author ID: 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 more...less 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) Documents Indexed: 259 Publications since 1952, including 27 Books 10 Contributions as Editor · 11 Further Contributions Biographic References: 31 Publications Co-Authors: 133 Co-Authors with 130 Joint Publications 4,090 Co-Co-Authors all top 5 Co-Authors 142 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 René 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 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 1 Greuel, Gert-Martin ...and 121 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 all top 5 Fields 72 Global analysis, analysis on manifolds (58-XX) 67 History and biography (01-XX) 63 Differential geometry (53-XX) 61 Quantum theory (81-XX) 42 Manifolds and cell complexes (57-XX) 35 General and overarching topics; collections (00-XX) 29 Algebraic topology (55-XX) 28 Algebraic geometry (14-XX) 15 Relativity and gravitational theory (83-XX) 14 Several complex variables and analytic spaces (32-XX) 14 Partial differential equations (35-XX) 12 \(K\)-theory (19-XX) 12 Topological groups, Lie groups (22-XX) 7 Number theory (11-XX) 7 Group theory and generalizations (20-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Functional analysis (46-XX) 5 Operator theory (47-XX) 5 Geometry (51-XX) 4 Convex and discrete geometry (52-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 2 Field theory and polynomials (12-XX) 2 Category theory; homological algebra (18-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 177 Publications have been cited 12,926 times in 9,541 Documents Cited by ▼ Year ▼ Introduction to commutative algebra. Zbl 0175.03601Atiyah, Michael F.; Macdonald, I. G. 1,599 1969 The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014Atiyah, Michael F.; Bott, Raoul 702 1983 Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 557 1978 Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 539 1975 The index of elliptic operators. III. Zbl 0164.24301Atiyah, Michael F.; Singer, I. M. 498 1968 Clifford modules. Zbl 0146.19001Atiyah, Michael F.; Bott, Raoul; Shapiro, A. 378 1964 Construction of instantons. Zbl 0424.14004Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 374 1978 Complex analytic connections in fibre bundles. Zbl 0078.16002Atiyah, Michael F. 360 1957 Vector bundles over an elliptic curve. Zbl 0084.17305Atiyah, Michael F. 345 1957 Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 341 1976 The moment map and equivariant cohomology. Zbl 0521.58025Atiyah, Michael F.; Bott, Raoul 335 1984 Algebraic number theory. Zbl 0153.07403 331 1967 The index of elliptic operators. I. Zbl 0164.24001Atiyah, Michael F.; Singer, Isadore Manuel 324 1968 Convexity and commuting Hamiltonians. Zbl 0482.58013Atiyah, Michael F. 312 1982 Topological quantum field theories. Zbl 0692.53053Atiyah, Michael 295 1988 The geometry and dynamics of magnetic monopoles. Zbl 0671.53001Atiyah, Michael; Hitchin, Nigel 237 1988 The index of elliptic operators. IV, V. Zbl 0212.28603Atiyah, Michael F.; Singer, I. M. 234 1971 A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703Atiyah, Michael F.; Bott, Raoul 213 1968 Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 207 1975 On the heat equation and the index theorem. Zbl 0257.58008Atiyah, Michael; Bott, Raoul; Patodi, V. K. 196 1973 A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201Atiyah, Michael F.; Bott, Raoul 153 1967 Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015Atiyah, Michael F. 150 1976 Vector bundles and homogeneous spaces. Zbl 0108.17705Atiyah, Michael F.; Hirzebruch, Friedrich 149 1961 K-theory and reality. Zbl 0146.19101Atiyah, Michael F. 149 1966 The index of elliptic operators. II. Zbl 0164.24201Atiyah, Michael F.; Segal, G. B. 140 1968 Equivariant \(K\)-theory and completion. Zbl 0215.24403Atiyah, Michael F.; Segal, G. B. 137 1969 The index of elliptic operators on compact manifolds. Zbl 0118.31203Atiyah, Michael F.; Singer, I. M. 131 1963 Riemann surfaces and spin structures. Zbl 0212.56402Atiyah, Michael F. 123 1971 Instantons and algebraic geometry. Zbl 0362.14004Atiyah, Michael F.; Ward, R. S. 120 1977 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 118 1984 Resolution of singularities and division of distributions. Zbl 0188.19405Atiyah, Michael F. 118 1970 Geometry of Yang-Mills fields. Zbl 0435.58001Atiyah, Michael F. 117 1979 Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503Atiyah, Michael F.; Singer, I. M. 111 1969 Elliptic operators and compact groups. Zbl 0297.58009Atiyah, Michael Francis 106 1974 Thom complexes. Zbl 0124.16301Atiyah, Michael F. 106 1961 On the Krull-Schmidt theorem with application to sheaves. Zbl 0072.18101Atiyah, Michael F. 96 1956 The geometry and physics of knots. Zbl 0729.57002Atiyah, Michael 93 1990 Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203Atiyah, Michael F.; Bott, Raoul; Gårding, Lars 85 1970 A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001Atiyah, Michael; Schmid, Wilfried 83 1977 Group representations, \(\lambda\)-rings and the \(J\)-homomorphism. Zbl 0159.53301Atiyah, Michael F.; Tall, D. O. 83 1969 Characters and cohomology of finite groups. Zbl 0107.02303Atiyah, Michael F. 82 1961 M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065Atiyah, Michael; Witten, Edward 81 2002 Bott periodicity and the index of elliptic operators. Zbl 0159.53501Atiyah, Michael F. 80 1968 Analytic cycles on complex manifolds. Zbl 0108.36401Atiyah, Michael F.; Hirzebruch, Friedrich 77 1962 Topological aspects of Yang-Mills theory. Zbl 0387.55009Atiyah, Michael F.; Jones, J. D. S. 76 1978 An M-theory flop as a large \(N\) duality. Zbl 1061.81056Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun 75 2001 Introduction to commutative algebra. Student economy edition. Zbl 1351.13002Atiyah, Michael F.; Macdonald, I. G. 68 2016 Riemann-Roch theorems for differentiable manifolds. Zbl 0142.40901Atiyah, Michael F.; Hirzebruch, Friedrich 68 1959 Twisted \(K\)-theory. Zbl 1151.55301Atiyah, Michael; Segal, Graeme 66 2004 Low energy scattering of nonabelian monopoles. Zbl 1177.53069Atiyah, M. F.; Hitchin, N. J. 64 1985 On framings of 3-manifolds. Zbl 0716.57011Atiyah, Michael 61 1990 Power operations in K-theory. Zbl 0144.44901Atiyah, Michael F. 61 1966 Spin-manifolds and group actions. Zbl 0193.52401Atiyah, Michael F.; Hirzebruch, Friedrich 61 1970 The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500Hawking, Stephen; Penrose, Roger 59 1996 Instantons in two and four dimensions. Zbl 0564.58040Atiyah, Michael F. 57 1984 Spectral asymmetry and Riemannian geometry. Zbl 0268.58010Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 57 1973 On analytic surfaces with double points. Zbl 0135.21301Atiyah, Michael F. 54 1958 The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035Atiyah, Michael 51 1987 On equivariant Euler characteristics. Zbl 0708.19004Atiyah, Michael; Segal, Graeme 47 1989 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001Atiyah, M. F. 44 1990 Topological Lagrangians and cohomology. Zbl 0721.58056Atiyah, M. F.; Jeffrey, L. 38 1990 \(K\)-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 0159.53302Atiyah, Michael F. 38 1967 Bordism and cobordism. Zbl 0104.17405Atiyah, Michael F. 35 1961 The index problem for manifolds with boundary. Zbl 0163.34603Atiyah, Michael F.; Bott, Raoul 35 1964 Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045Atiyah, Michael F.; Bott, Raoul; Gårding, Lars 33 1973 The Riemann-Roch theorem for analytic embeddings. Zbl 0108.36402Atiyah, Michael F.; Hirzebruch, Friedrich 33 1962 Vector bundles and the Künneth formula. Zbl 0108.17801Atiyah, Michael F. 32 1962 Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026Atiyah, Michael F. 31 1983 Twisted \(K\)-theory and cohomology. Zbl 1138.19003Atiyah, Michael; Segal, Graeme 31 2006 \(K\)-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 0159.53401Atiyah, Michael F. 30 1967 Vector bundles on projective 3-spaces. Zbl 0332.32020Atiyah, Michael F.; Rees, E. 28 1976 Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes). Zbl 0109.16002Atiyah, Michael F.; Hirzebruch, Friedrich 28 1961 A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801Atiyah, Michael F.; Bott, Raoul 28 1966 Complex fibre bundles and ruled surfaces. Zbl 0174.52804Atiyah, Michael F. 28 1955 Geometry and kinematics of two Skyrmions. Zbl 0778.53051Atiyah, M. F.; Manton, N. S. 26 1993 On complex Stiefel manifolds. Zbl 0109.16102Atiyah, Michael F.; Todd, J. A. 26 1960 Vector fields with finite singularities. Zbl 0233.57010Atiyah, Michael F.; Dupont, J. L. 25 1972 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 25 1983 Curvature, cones and characteristic numbers. Zbl 1273.53041Atiyah, Michael; Lebrun, Claude 25 2013 Integrals of the second kind on an algebraic variety. Zbl 0068.34401Hodge, W. V. D.; Atiyah, Michael F. 24 1955 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 23 1977 K-theory and the Hopf invariant. Zbl 0136.43903Adams, J. F.; Atiyah, Michael F. 23 1966 The signature of fibre-bundles. Zbl 0193.52302Atiyah, Michael F. 23 1969 Vector fields on manifolds. Zbl 0193.52303Atiyah, Michael F. 23 1970 On the periodicity theorem for complex vector bundles. Zbl 0131.38201Atiyah, Michael F.; Bott, Raoul 22 1964 Cohomology of groups. Zbl 1494.20079Atiyah, M. F.; Wall, C. T. C. 22 1967 New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018Atiyah, Michael 19 1988 Polyhedra in physics, chemistry and geometry. Zbl 1050.52002Atiyah, Michael; Sutcliffe, Paul 18 2003 Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J. 18 2017 The geometry of point particles. Zbl 1010.58015Atiyah, Michael; Sutcliffe, Paul 17 2002 Circular symmetry and stationary-phase approximation. Zbl 0578.58039Atiyah, Michael F. 17 1985 Immersions and embeddings of manifolds. Zbl 0109.41101Atiyah, Michael F. 16 1962 The Yang-Mills equations and the structure of 4-manifolds. Zbl 0614.57007Atiyah, M. F. 16 1984 On the K-theory of compact Lie groups. Zbl 0136.21001Atiyah, Michael F. 15 1965 Geometric models of matter. Zbl 1364.53046Atiyah, M. F.; Manton, N. S.; Schroers, B. J. 15 2012 Algebraic topology and elliptic operators. Zbl 0145.43804Atiyah, Michael F. 14 1967 Some theorems of non-immersion for differentiable manifolds. (Quelques théorèmes de non-plongement pour les variétés différentiables.) Zbl 0196.55903Atiyah, Michael F.; Hirzebruch, Friedrich 14 1959 Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035Atiyah, Michael; Hitchin, Nigel J. 14 1985 The geometry and physics of knots. Zbl 0696.57002Atiyah, M. F. 13 1989 Configurations of points. Zbl 1037.58007Atiyah, Michael 13 2001 The relativistic geometry and dynamics of electrons. Zbl 1391.81206Atiyah, M. F.; Malkoun, Joseph 2 2018 Understanding the 6-dimensional sphere. Zbl 1425.53088Atiyah, Michael 1 2018 Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J. 18 2017 Introduction to commutative algebra. Student economy edition. Zbl 1351.13002Atiyah, Michael F.; Macdonald, I. G. 68 2016 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Atiyah, 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 1388.83043Atiyah, M. F.; Franchetti, G.; Schroers, B. J. 1 2015 Friedrich Hirzebruch (1927–2012). Zbl 1338.01024 2 2014 Curvature, cones and characteristic numbers. Zbl 1273.53041Atiyah, Michael; Lebrun, Claude 25 2013 Geometric models of matter. Zbl 1364.53046Atiyah, M. F.; Manton, N. S.; Schroers, B. J. 15 2012 A shifted view of fundamental physics. Zbl 1238.83047Atiyah, Michael; Moore, Gregory W. 3 2011 Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes 2 2011 Geometry and physics. Zbl 1420.57003Atiyah, Michael; Dijkgraaf, Robbert; Hitchin, Nigel 5 2010 Twisted \(K\)-theory and cohomology. Zbl 1138.19003Atiyah, Michael; Segal, Graeme 31 2006 Mathematics: art and science. Zbl 1121.00307Atiyah, Michael 2 2006 Abstracts of additional presentations made at the Royal Society discussion meeting ‘The nature of mathematical proof’. Zbl 1152.03303Bundy, Alan; Mackenzie, Donald; Atiyah, Michael; Macintyre, Angus 6 2005 Twisted \(K\)-theory. Zbl 1151.55301Atiyah, Michael; Segal, Graeme 66 2004 Evolution of …Global geometry (Bakerian lecture, 1975). Zbl 1187.58001Atiyah, M. F. 3 2004 Collected works. Volume 6. Zbl 1099.01024Atiyah, Michael 3 2004 A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004Atiyah, Michael; Hopkins, Michael 2 2004 Polyhedra in physics, chemistry and geometry. Zbl 1050.52002Atiyah, Michael; Sutcliffe, Paul 18 2003 Projective planes, Severi varieties and spheres. Zbl 1057.53040Atiyah, Michael; Berndt, Jürgen 10 2003 M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065Atiyah, Michael; Witten, Edward 81 2002 The geometry of point particles. Zbl 1010.58015Atiyah, Michael; Sutcliffe, Paul 17 2002 Nahm’s equations, configuration spaces and flag manifolds. Zbl 1022.22007Atiyah, Michael; Bielawski, Roger 8 2002 Mathematics in the 20th century. Zbl 1022.01007Atiyah, Michael 6 2002 On the unreasonable effectiveness of physics in mathematics. Zbl 1150.00002Atiyah, Michael 1 2002 An M-theory flop as a large \(N\) duality. Zbl 1061.81056Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun 75 2001 Configurations of points. Zbl 1037.58007Atiyah, Michael 13 2001 \(K\)-theory past and present. Zbl 1061.19500Atiyah, Michael 5 2001 Equivariant cohomology and representations of the symmetric group. Zbl 1057.20007Atiyah, M. 3 2001 Mathematics in the 20th century. Zbl 1081.01502Atiyah, Michael 1 2001 Mathematics: frontiers and perspectives. Zbl 1047.00015 10 2000 The geometry of classical particles. Zbl 1050.55502Atiyah, Michael 7 2000 Paul Dirac: The man and his work. Edited by Peter Goddard. Memorial address by Stephen Hawking. Zbl 0917.01032Pais, Abraham; Jacob, Maurice; Olive, David; Atiyah, Michael F. 2 1998 Obituary: John Arthur Todd. Zbl 0927.01042Atiyah, M. F. 1 1998 An introduction to topological quantum field theories. Zbl 0890.57019Atiyah, Michael 3 1997 Fields Medallists’ lectures. Zbl 0913.01020 3 1997 Geometry and physics: Where are we going? Zbl 0865.53063Atiyah, Michael 2 1997 The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500Hawking, Stephen; Penrose, Roger 59 1996 Collected papers of V. K. Patodi. Ed. and with a foreword by M. F. Atiyah and M. S. Narasimhan. Zbl 0902.01034Patodi, V. K. 1 1996 Geometry and physics. Zbl 0864.57003Atiyah, Michael 1 1996 Floer homology. Zbl 0837.58011Atiyah, Michael 3 1995 Quantum theory and geometry. Zbl 0860.58001Atiyah, Michael 1 1995 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014Atiyah, 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 12 1994 Geometry and kinematics of two Skyrmions. Zbl 0778.53051Atiyah, M. F.; Manton, N. S. 26 1993 Magnetic monopoles and the Yang-Baxter equations. Zbl 0757.53038Atiyah, Michael 9 1991 The geometry and physics of knots. Zbl 0729.57002Atiyah, Michael 93 1990 On framings of 3-manifolds. Zbl 0716.57011Atiyah, Michael 61 1990 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001Atiyah, M. F. 44 1990 Topological Lagrangians and cohomology. Zbl 0721.58056Atiyah, M. F.; Jeffrey, L. 38 1990 Quantum field theory and low-dimensional geometry. Zbl 0804.53098Atiyah, Michael 3 1990 The Jones-Witten invariants of knots. Zbl 0739.57001Atiyah, Michael 2 1990 Hyperkähler manifolds. Zbl 0699.53068Atiyah, Michael 1 1990 On equivariant Euler characteristics. Zbl 0708.19004Atiyah, Michael; Segal, Graeme 47 1989 The geometry and physics of knots. Zbl 0696.57002Atiyah, M. F. 13 1989 The theory and applications of harmonic integrals. Reissued, with a foreword by Sir Michael Atiyah. Zbl 0693.14002Hodge, W. V. D. 8 1989 K-theory. With notes by D. W. Anderson. Reprint. Zbl 0676.55006Atiyah, Michael F. 5 1989 Topological quantum field theories. Zbl 0692.53053Atiyah, Michael 295 1988 The geometry and dynamics of magnetic monopoles. Zbl 0671.53001Atiyah, Michael; Hitchin, Nigel 237 1988 New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018Atiyah, Michael 19 1988 Collected works. Volume 5: Gauge theories. Zbl 0691.53003Atiyah, Michael 7 1988 Collected works. Volume 2: \(K\)-Theory. Zbl 0724.55001Atiyah, Michael 4 1988 Topology and differential equations. Zbl 0687.35001Atiyah, Michael 2 1988 The impact of physics on geometry. Zbl 0657.53054Atiyah, Michael 1 1988 The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035Atiyah, Michael 51 1987 Magnetic monopoles in hyperbolic spaces. Zbl 0722.53063Atiyah, M. F. 11 1987 Magnetic monopoles in hyperbolic spaces. Zbl 0688.53027Atiyah, M. F. 10 1987 On the work of Simon Donaldson. Zbl 0666.01010Atiyah, Michael 2 1987 Low energy scattering of nonabelian monopoles. Zbl 1177.53069Atiyah, M. F.; Hitchin, N. J. 64 1985 Circular symmetry and stationary-phase approximation. Zbl 0578.58039Atiyah, Michael F. 17 1985 Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035Atiyah, Michael; Hitchin, Nigel J. 14 1985 Eigenvalues of the Dirac operator. Zbl 0568.53022Atiyah, Michael 3 1985 The moment map and equivariant cohomology. Zbl 0521.58025Atiyah, Michael F.; Bott, Raoul 335 1984 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 118 1984 Instantons in two and four dimensions. Zbl 0564.58040Atiyah, Michael F. 57 1984 The Yang-Mills equations and the structure of 4-manifolds. Zbl 0614.57007Atiyah, M. F. 16 1984 The moment map in symplectic geometry. Zbl 0615.53023Atiyah, M. F. 7 1984 Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 6 1984 The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014Atiyah, Michael F.; Bott, Raoul 702 1983 Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026Atiyah, Michael F. 31 1983 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 25 1983 Convexity and loop groups. Zbl 0529.22013Atiyah, Michael F.; Pressley, A. N. 12 1983 Convexity and commuting Hamiltonians. Zbl 0482.58013Atiyah, Michael F. 312 1982 Geometry and analysis of Shimizu L-functions. Zbl 0503.12007Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 1 1982 Green’s functions for self-dual four-manifolds. Zbl 0484.53036Atiyah, Michael F. 3 1981 Yang-Mills and bundles over algebraic curves. Zbl 0499.14005Atiyah, Michael F.; Bott, Raoul 3 1981 Geometrical aspects of gauge theories. Zbl 0428.58018Atiyah, Michael F. 2 1980 Geometry of Yang-Mills fields. Zbl 0435.58001Atiyah, Michael F. 117 1979 Erratum: A geometric construction of the discrete series for semisimple Lie groups. Zbl 0413.22009Atiyah, Michael; Schmid, Wilfried 8 1979 The Harish-Chandra character. Zbl 0426.22014Atiyah, Michael F. 1 1979 Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 557 1978 Construction of instantons. Zbl 0424.14004Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 374 1978 Topological aspects of Yang-Mills theory. Zbl 0387.55009Atiyah, Michael F.; Jones, J. D. S. 76 1978 The unity of mathematics. Zbl 0376.00001Atiyah, Michael F. 1 1978 Instantons and algebraic geometry. Zbl 0362.14004Atiyah, Michael F.; Ward, R. S. 120 1977 A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001Atiyah, Michael; Schmid, Wilfried 83 1977 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 23 1977 William Vallance Douglas Hodge. Zbl 0343.01010Atiyah, Michael F. 1 1977 Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 341 1976 Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015Atiyah, Michael F. 150 1976 ...and 77 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,226 Authors 130 Biswas, Indranil 40 Mathai, Varghese 39 Atiyah, Michael Francis 34 Bismut, Jean-Michel 31 Carey, Alan L. 31 Gilkey, Peter B. 31 Savin, Anton Yur’evich 30 Zhang, Weiping 29 Witten, Edward 28 Visweswaran, Subramanian 27 Ballico, Edoardo 26 Freed, Daniel Stuart 25 Nikandish, Reza 24 Hurtubise, Jacques C. 23 Nikmehr, Mohammad Javad 23 Pelayo, Alvaro 23 Popov, Alexander D. 22 Dumitrescu, Sorin 22 Jeffrey, Lisa Claire 21 Davidov, Johann T. 19 Benameur, Moulay-Tahar 19 García-Prada, Oscar 19 Moore, Gregory Winthrop 19 Sati, Hisham 19 Sternin, Boris Yur’evich 18 Dobbs, David Earl 18 Murray, Michael K. 18 Rosenberg, Jonathan Micah 18 Szabo, Richard J. 17 Gomi, Kiyonori 17 Guillemin, Victor W. 17 Karoubi, Max 17 LeBrun, Claude R. 17 Ruberman, Daniel 17 Schulze, Bert-Wolfgang 16 Gukov, Sergei 16 Morozov, Alexei Yurievich 16 Schick, Thomas 16 Sutcliffe, Paul Michael 16 Theriault, Stephen D. 16 Vergne, Michèle 15 Andersen, Jørgen Ellegaard 15 Lechtenfeld, Olaf 15 Waterstraat, Nils 15 Yu, Guoliang 14 Akbari, Saieed 14 Huebschmann, Johannes 14 Kishimoto, Daisuke 14 Petrie, Ted 14 Salamon, Simon Montague 14 Schroers, Bernd J. 14 Vafa, Cumrun 13 Bruzzo, Ugo 13 Dai, Xianzhe 13 Heinzer, William J. 13 Hochs, Peter 13 Jardim, Marcos 13 Kono, Akira 13 Ma, Xiaonan 13 Nekrasov, Nikita Alexandrovich 13 Park, Jinsung 13 Piazza, Paolo 13 Svanes, Eirik Eik 13 Taubes, Clifford Henry 13 Wang, Hang 13 Weinberger, Shmuel 12 Baraglia, David 12 Burban, Igor 12 De Nittis, Giuseppe 12 Furutani, Kenro 12 Hopkins, Michael Jerome 12 Itoh, Mitsuhiro 12 Lott, John 12 Mason, Lionel J. 12 Moroianu, Sergiu 12 Moscovici, Henri 12 Papadopoulos, George 12 Ratiu, Tudor Stefan 12 Schumacher, Georg 12 Selvakumar, Krishnan 12 Sengupta, Ambar N. 12 Singer, Isadore Manuel 12 Spirito, Dario 12 Wu, Siye 11 Bott, Raoul Harry 11 Chien, Mao-Ting 11 Connes, Alain 11 Crabb, Michael C. 11 Dessai, Anand Naique 11 Donaldson, Simon Kirwan 11 Finocchiaro, Carmelo Antonio 11 Gusein-Zade, Sabir M. 11 Hitchin, Nigel 11 Holm, Tara S. 11 Honda, Nobuhiro 11 Hu, Xijun 11 Karshon, Yael 11 Kauffman, Louis Hirsch 11 Kirwan, Frances Clare 11 Loya, Paul A. ...and 8,126 more Authors all top 5 Cited in 567 Serials 500 Communications in Mathematical Physics 386 Journal of High Energy Physics 355 Journal of Geometry and Physics 325 Advances in Mathematics 289 Transactions of the American Mathematical Society 258 Journal of Mathematical Physics 241 Mathematische Annalen 214 Journal of Algebra 212 Communications in Algebra 211 Mathematische Zeitschrift 206 Nuclear Physics. 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Second Series 18 Expositiones Mathematicae 17 Beiträge zur Algebra und Geometrie 17 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 17 Journal of the Mathematical Society of Japan 17 Forum Mathematicum ...and 467 more Serials all top 5 Cited in 63 Fields 2,200 Algebraic geometry (14-XX) 2,142 Differential geometry (53-XX) 1,915 Global analysis, analysis on manifolds (58-XX) 1,899 Quantum theory (81-XX) 1,496 Manifolds and cell complexes (57-XX) 1,042 Algebraic topology (55-XX) 991 Commutative algebra (13-XX) 835 Several complex variables and analytic spaces (32-XX) 564 \(K\)-theory (19-XX) 549 Relativity and gravitational theory (83-XX) 510 Associative rings and algebras (16-XX) 489 Partial differential equations (35-XX) 478 Group theory and generalizations (20-XX) 405 Functional analysis (46-XX) 402 Topological groups, Lie groups (22-XX) 399 Number theory (11-XX) 376 Dynamical systems and ergodic theory (37-XX) 330 Nonassociative rings and algebras (17-XX) 324 Combinatorics (05-XX) 299 Category theory; homological algebra (18-XX) 264 Operator theory (47-XX) 200 Linear and multilinear algebra; matrix theory (15-XX) 169 Mechanics of particles and systems (70-XX) 142 Functions of a complex variable (30-XX) 119 General topology (54-XX) 92 Statistical mechanics, structure of matter (82-XX) 89 Field theory and polynomials (12-XX) 84 Convex and discrete geometry (52-XX) 81 Computer science (68-XX) 76 Ordinary differential equations (34-XX) 67 Order, lattices, ordered algebraic structures (06-XX) 62 Mathematical logic and foundations (03-XX) 60 History and biography (01-XX) 55 Abstract harmonic analysis (43-XX) 49 Geometry (51-XX) 49 Probability theory and stochastic processes (60-XX) 47 Information and communication theory, circuits (94-XX) 44 Systems theory; control (93-XX) 43 Numerical analysis (65-XX) 38 General and overarching topics; collections (00-XX) 36 Special functions (33-XX) 34 Optics, electromagnetic theory (78-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 19 Real functions (26-XX) 19 Statistics (62-XX) 18 Difference and functional equations (39-XX) 18 Mechanics of deformable solids (74-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Measure and integration (28-XX) 14 Operations research, mathematical programming (90-XX) 12 Approximations and expansions (41-XX) 11 Potential theory (31-XX) 11 Integral transforms, operational calculus (44-XX) 8 Fluid mechanics (76-XX) 8 Astronomy and astrophysics (85-XX) 8 Biology and other natural sciences (92-XX) 7 Integral equations (45-XX) 5 General algebraic systems (08-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Sequences, series, summability (40-XX) 2 Mathematics education (97-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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