Edit Profile (opens in new tab) Atiyah, Michael Francis Compute Distance To: Compute 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 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: 257 Publications since 1952, including 27 Books 10 Contributions as Editor · 11 Further Contributions Biographic References: 31 Publications Co-Authors: 132 Co-Authors with 129 Joint Publications 3,917 Co-Co-Authors all top 5 Co-Authors 141 single-authored 20 Bott, Raoul Harry 19 Singer, Isadore Manuel 11 Hirzebruch, Friedrich 8 Hitchin, Nigel James 8 Patodi, Vijay Kumar 8 Segal, Graeme B. 4 Gårding, Lars 4 Schmid, Wilfried 4 Tate, John Torrence jun. 3 Borel, Armand 3 Donnelly, Harold 3 Hodge, William Vallance Douglas 3 Iagolnitzer, Daniel 3 Macdonald, Ian Grant 3 Manton, Nicholas S. 3 Nirenberg, Louis 3 Serre, Jean-Pierre 2 Bass, Hyman 2 Deligne, Pierre René 2 Friedan, Daniel Harry 2 Gray, Jeremy John 2 Green, Michael B. 2 Hawking, Stephen William 2 Hirsch, Morris W. 2 Illusie, Luc 2 Jeffrey, Lisa Claire 2 Lax, Peter David 2 Llewellyn-Smith, C. H. 2 Manin, Yuri Ivanovich 2 Marcolli, Matilde 2 Mazur, Barry 2 Raussen, Martin 2 Schroers, Bernd J. 2 Skau, Christian Fredrik 2 Sullivan, Dennis Parnell 2 Sutcliffe, Paul Michael 2 Weinstein, Alan David 2 Witten, Edward 2 Zapata-Carratala, Carlos 1 Adams, John Frank 1 Arnocritt, R. 1 Arnol’d, Vladimir Igorevich 1 Artin, Michael 1 Baouendi, Mohammed Salah 1 Bar-Natan, Dror 1 Bär, Christian 1 Berndt, Jürgen 1 Bhanot, Gyan V. 1 Bielawski, Roger 1 Bojarski, Bogdan 1 Bokobza, Juliane 1 Boman, Jan 1 Bony, Jean-Michel 1 Bourguignon, Jean-Pierre 1 Boutet de Monvel, Louis 1 Brézin, Edouard 1 Broström, Sofia 1 Brown, Ken 1 Bundy, Alan 1 Carleson, Lennart 1 Cartan, Henri 1 Cartier, Pierre 1 Cassels, John William Scott 1 Cattaneo, Alberto Sergio 1 Chaitin, Gregory J. 1 Chamseddine, Ali Hani 1 Chong, Chi Tat 1 Connes, Alain 1 Cuntz, Joachim 1 Cushman, Richard H. 1 Demailly, Jean-Pierre 1 Demazure, Michel 1 Dijkgraaf, Robbert H. 1 do Carmo, Manfredo Perdigão 1 Donaldson, Simon Kirwan 1 Drinfeld, Vladimir Gershonovich 1 Drury, Luke O’Connor 1 Duflot, Jeanne 1 Dunajski, Maciej 1 Dupont, Johan L. 1 Earle, Clifford J. 1 Eguchi, Tohru 1 1 Franchetti, Guido 1 Friedlander, Eric Mark 1 Fröhlich, Albrecht 1 Fröhlich, Jürg Martin 1 Gibbon, John D. 1 Glimm, James G. 1 Godbole, Rohini M. 1 Goddard, Peter 1 Goldschmith, Brendan 1 Goodwillie, Thomas Gehret 1 Gowers, William Timothy 1 Grayson, Daniel Richard 1 Greenberg, Marvin Jay 1 Greene, Robert Everist 1 Greuel, Gert-Martin 1 Grisvard, Pierre 1 Gromov, Mikhael Leonidovich ...and 119 more Co-Authors all top 5 Serials 10 Topology 9 Annals of Mathematics. Second Series 8 Bulletin of the London Mathematical Society 7 Notices of the American Mathematical Society 5 Uspekhi Matematicheskikh Nauk [N. S.] 5 Inventiones Mathematicae 5 The Quarterly Journal of Mathematics. Oxford Second Series 4 Communications in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Acta Mathematica 4 Proceedings of the Cambridge Philosophical Society 3 Publications Mathématiques 3 Proceedings of the London Mathematical Society. Third Series 3 Proceedings of the National Academy of Sciences of the United States of America 3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 3 Bulletin of the American Mathematical Society. New Series 3 European Mathematical Society Newsletter 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Bulletin of the American Mathematical Society 2 American Mathematical Monthly 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Bulletin de la Société Mathématique de France 2 Normat 2 Notes and Records of the Royal Society of London 2 Philosophical Transactions of the Royal Society of London. Ser. A 2 Pokroky Matematiky, Fyziky & Astronomie 2 The Asian Journal of Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of High Energy Physics 2 Tata Institute of Fundamental Research. Studies in Mathematics 2 Springer VideoMATH 1 International Journal of Modern Physics A 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 The Mathematical Gazette 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Chinese Annals of Mathematics. Series B 1 Advances in Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Fiziko-Matematichesko Spisanie 1 Boletín de la Academia de Ciencias Físicas, Matematicas y Naturales (Caracas) 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Irish Mathematical Society Bulletin 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Izvestiya: Mathematics 1 Advances in Theoretical and Mathematical Physics 1 NTM. Neue Serie 1 The Quarterly Journal of Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Journal of the London Mathematical Society 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Lecture Notes in Mathematics 1 Culture and History of Mathematics 1 Mathematical Medley 1 Ukraïns’kyĭ Matematychnyĭ Visnyk 1 European Journal of Mathematics 1 World Scientific Series in 21st Century Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Contemporary Mathematicians 1 Cambridge Mathematical Library 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) 28 Algebraic geometry (14-XX) 28 Algebraic topology (55-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 Dynamical systems and ergodic theory (37-XX) 6 Group theory and generalizations (20-XX) 6 Functional analysis (46-XX) 5 Operator theory (47-XX) 4 Geometry (51-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Convex and discrete geometry (52-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 173 Publications have been cited 11,772 times in 8,547 Documents Cited by ▼ Year ▼ Introduction to commutative algebra. Zbl 0175.03601Atiyah, Michael F.; Macdonald, I. G. 1,429 1969 The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014Atiyah, Michael F.; Bott, Raoul 620 1983 Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 517 1978 Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 467 1975 The index of elliptic operators. III. Zbl 0164.24301Atiyah, Michael F.; Singer, I. M. 462 1968 Clifford modules. Zbl 0146.19001Atiyah, Michael F.; Bott, Raoul; Shapiro, A. 348 1964 Construction of instantons. Zbl 0424.14004Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 330 1978 Complex analytic connections in fibre bundles. Zbl 0078.16002Atiyah, Michael F. 321 1957 Vector bundles over an elliptic curve. Zbl 0084.17305Atiyah, Michael F. 319 1957 The index of elliptic operators. I. Zbl 0164.24001Atiyah, Michael F.; Singer, Isadore Manuel 302 1968 The moment map and equivariant cohomology. Zbl 0521.58025Atiyah, Michael F.; Bott, Raoul 296 1984 Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 283 1976 Convexity and commuting Hamiltonians. Zbl 0482.58013Atiyah, Michael F. 272 1982 Algebraic number theory. Zbl 0153.07403 249 1967 Topological quantum field theories. Zbl 0692.53053Atiyah, Michael 238 1988 The geometry and dynamics of magnetic monopoles. Zbl 0671.53001Atiyah, Michael; Hitchin, Nigel 218 1988 A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703Atiyah, Michael F.; Bott, Raoul 198 1968 The index of elliptic operators. IV, V. Zbl 0212.28603Atiyah, Michael F.; Singer, I. M. 196 1971 On the heat equation and the index theorem. Zbl 0257.58008Atiyah, Michael; Bott, Raoul; Patodi, V. K. 185 1973 Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 172 1975 A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201Atiyah, Michael F.; Bott, Raoul 136 1967 The index of elliptic operators. II. Zbl 0164.24201Atiyah, Michael F.; Segal, G. B. 132 1968 Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015Atiyah, Michael F. 131 1976 Vector bundles and homogeneous spaces. Zbl 0108.17705Atiyah, Michael F.; Hirzebruch, Friedrich 130 1961 K-theory and reality. Zbl 0146.19101Atiyah, Michael F. 126 1966 Equivariant \(K\)-theory and completion. Zbl 0215.24403Atiyah, Michael F.; Segal, G. B. 123 1969 The index of elliptic operators on compact manifolds. Zbl 0118.31203Atiyah, Michael F.; Singer, I. M. 117 1963 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 115 1984 Riemann surfaces and spin structures. Zbl 0212.56402Atiyah, Michael F. 109 1971 Resolution of singularities and division of distributions. Zbl 0188.19405Atiyah, Michael F. 108 1970 Instantons and algebraic geometry. Zbl 0362.14004Atiyah, Michael F.; Ward, R. S. 108 1977 Geometry of Yang-Mills fields. Zbl 0435.58001Atiyah, Michael F. 106 1979 Thom complexes. Zbl 0124.16301Atiyah, Michael F. 96 1961 Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503Atiyah, Michael F.; Singer, I. M. 96 1969 Elliptic operators and compact groups. Zbl 0297.58009Atiyah, Michael Francis 95 1974 On the Krull-Schmidt theorem with application to sheaves. Zbl 0072.18101Atiyah, Michael F. 84 1956 Characters and cohomology of finite groups. Zbl 0107.02303Atiyah, Michael F. 82 1961 Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203Atiyah, Michael F.; Bott, Raoul; Gårding, Lars 81 1970 The geometry and physics of knots. Zbl 0729.57002Atiyah, Michael 80 1990 Group representations, \(\lambda\)-rings and the \(J\)-homomorphism. Zbl 0159.53301Atiyah, Michael F.; Tall, D. O. 75 1969 Bott periodicity and the index of elliptic operators. Zbl 0159.53501Atiyah, Michael F. 72 1968 A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001Atiyah, Michael; Schmid, Wilfried 70 1977 Topological aspects of Yang-Mills theory. Zbl 0387.55009Atiyah, Michael F.; Jones, J. D. S. 70 1978 Analytic cycles on complex manifolds. Zbl 0108.36401Atiyah, Michael F.; Hirzebruch, Friedrich 68 1962 An M-theory flop as a large \(N\) duality. Zbl 1061.81056Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun 67 2001 Riemann-Roch theorems for differentiable manifolds. Zbl 0142.40901Atiyah, Michael F.; Hirzebruch, Friedrich 63 1959 Power operations in K-theory. Zbl 0144.44901Atiyah, Michael F. 59 1966 Low energy scattering of nonabelian monopoles. Zbl 1177.53069Atiyah, M. F.; Hitchin, N. J. 58 1985 On framings of 3-manifolds. Zbl 0716.57011Atiyah, Michael 58 1990 M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065Atiyah, Michael; Witten, Edward 57 2002 Introduction to commutative algebra. Student economy edition. Zbl 1351.13002Atiyah, Michael F.; Macdonald, I. G. 53 2016 The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500Hawking, Stephen; Penrose, Roger 52 1996 Twisted \(K\)-theory. Zbl 1151.55301Atiyah, Michael; Segal, Graeme 52 2004 Instantons in two and four dimensions. Zbl 0564.58040Atiyah, Michael F. 51 1984 Spectral asymmetry and Riemannian geometry. Zbl 0268.58010Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 49 1973 On analytic surfaces with double points. Zbl 0135.21301Atiyah, Michael F. 46 1958 The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035Atiyah, Michael 45 1987 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001Atiyah, M. F. 44 1990 On equivariant Euler characteristics. Zbl 0708.19004Atiyah, Michael; Segal, Graeme 41 1989 Spin-manifolds and group actions. Zbl 0193.52401Atiyah, Michael F.; Hirzebruch, Friedrich 40 1970 Topological Lagrangians and cohomology. Zbl 0721.58056Atiyah, M. F.; Jeffrey, L. 34 1990 The Riemann-Roch theorem for analytic embeddings. Zbl 0108.36402Atiyah, Michael F.; Hirzebruch, Friedrich 32 1962 Vector bundles and the Künneth formula. Zbl 0108.17801Atiyah, Michael F. 31 1962 Bordism and cobordism. Zbl 0104.17405Atiyah, Michael F. 30 1961 \(K\)-theory. Lecture notes by D. W. Anderson. Fall 1964. With reprints of M. F. Atiyah: Power operations in \(K\)-theory; \(K\)-theory and reality. Zbl 0159.53302Atiyah, Michael F. 30 1967 \(K\)-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. (Лекции по \(К\)-теории.) Zbl 0159.53401Atiyah, Michael F. 30 1967 The index problem for manifolds with boundary. Zbl 0163.34603Atiyah, Michael F.; Bott, Raoul 30 1964 Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045Atiyah, Michael F.; Bott, Raoul; Gårding, Lars 29 1973 Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026Atiyah, Michael F. 29 1983 Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes). Zbl 0109.16002Atiyah, Michael F.; Hirzebruch, Friedrich 26 1961 Twisted \(K\)-theory and cohomology. Zbl 1138.19003Atiyah, Michael; Segal, Graeme 26 2006 Complex fibre bundles and ruled surfaces. Zbl 0174.52804Atiyah, Michael F. 26 1955 Vector bundles on projective 3-spaces. Zbl 0332.32020Atiyah, Michael F.; Rees, E. 25 1976 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 24 1983 On complex Stiefel manifolds. Zbl 0109.16102Atiyah, Michael F.; Todd, J. A. 23 1960 K-theory and the Hopf invariant. Zbl 0136.43903Adams, J. F.; Atiyah, Michael F. 23 1966 A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801Atiyah, Michael F.; Bott, Raoul 23 1966 Vector fields with finite singularities. Zbl 0233.57010Atiyah, Michael F.; Dupont, J. L. 23 1972 Integrals of the second kind on an algebraic variety. Zbl 0068.34401Hodge, W. V. D.; Atiyah, Michael F. 23 1955 Vector fields on manifolds. Zbl 0193.52303Atiyah, Michael F. 20 1970 Curvature, cones and characteristic numbers. Zbl 1273.53041Atiyah, Michael; Lebrun, Claude 20 2013 On the periodicity theorem for complex vector bundles. Zbl 0131.38201Atiyah, Michael F.; Bott, Raoul 18 1964 The signature of fibre-bundles. Zbl 0193.52302Atiyah, Michael F. 17 1969 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 17 1977 Immersions and embeddings of manifolds. Zbl 0109.41101Atiyah, Michael F. 16 1962 The geometry of point particles. Zbl 1010.58015Atiyah, Michael; Sutcliffe, Paul 16 2002 Geometry and kinematics of two Skyrmions. Zbl 0778.53051Atiyah, M. F.; Manton, N. S. 16 1993 The Yang-Mills equations and the structure of 4-manifolds. Zbl 0614.57007Atiyah, M. F. 16 1984 New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018Atiyah, Michael 16 1988 Polyhedra in physics, chemistry and geometry. Zbl 1050.52002Atiyah, Michael; Sutcliffe, Paul 15 2003 On the K-theory of compact Lie groups. Zbl 0136.21001Atiyah, Michael F. 14 1965 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 Circular symmetry and stationary-phase approximation. Zbl 0578.58039Atiyah, Michael F. 14 1985 The geometry and physics of knots. Zbl 0696.57002Atiyah, M. F. 13 1989 Geometric models of matter. Zbl 1364.53046Atiyah, M. F.; Manton, N. S.; Schroers, B. J. 13 2012 Compact Lie groups and the stable homotopy of spheres. Zbl 0282.55008Atiyah, Michael F.; Smith, Larry 12 1974 Notes on the Lefschetz fixed point theorem for elliptic complexes. Zbl 0161.43101Atiyah, Michael F.; Bott, Raoul 12 1964 Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035Atiyah, Michael; Hitchin, Nigel J. 12 1985 Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J. 11 2017 The relativistic geometry and dynamics of electrons. Zbl 1391.81206Atiyah, M. F.; Malkoun, Joseph 2 2018 Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J. 11 2017 Introduction to commutative algebra. Student economy edition. Zbl 1351.13002Atiyah, Michael F.; Macdonald, I. G. 53 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 20 2013 Geometric models of matter. Zbl 1364.53046Atiyah, M. F.; Manton, N. S.; Schroers, B. J. 13 2012 A shifted view of fundamental physics. Zbl 1238.83047Atiyah, Michael; Moore, Gregory W. 2 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 1 2011 Geometry and physics. Zbl 1420.57003Atiyah, Michael; Dijkgraaf, Robbert; Hitchin, Nigel 4 2010 Twisted \(K\)-theory and cohomology. Zbl 1138.19003Atiyah, Michael; Segal, Graeme 26 2006 Mathematics: art and science. Zbl 1121.00307Atiyah, Michael 1 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 52 2004 Collected works. Volume 6. Zbl 1099.01024Atiyah, Michael 3 2004 Evolution of …Global geometry (Bakerian lecture, 1975). Zbl 1187.58001Atiyah, M. F. 2 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 15 2003 Projective planes, Severi varieties and spheres. Zbl 1057.53040Atiyah, Michael; Berndt, Jürgen 9 2003 M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065Atiyah, Michael; Witten, Edward 57 2002 The geometry of point particles. Zbl 1010.58015Atiyah, Michael; Sutcliffe, Paul 16 2002 Nahm’s equations, configuration spaces and flag manifolds. Zbl 1022.22007Atiyah, Michael; Bielawski, Roger 7 2002 Mathematics in the 20th century. Zbl 1022.01007Atiyah, Michael 5 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 67 2001 Configurations of points. Zbl 1037.58007Atiyah, Michael 9 2001 \(K\)-theory past and present. Zbl 1061.19500Atiyah, Michael 3 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 5 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. 1 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 Geometry and physics: Where are we going? Zbl 0865.53063Atiyah, Michael 2 1997 Fields Medallists’ lectures. Zbl 0913.01020 1 1997 The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500Hawking, Stephen; Penrose, Roger 52 1996 Geometry and physics. Zbl 0864.57003Atiyah, Michael 1 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 Floer homology. Zbl 0837.58011Atiyah, Michael 1 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 9 1994 Geometry and kinematics of two Skyrmions. Zbl 0778.53051Atiyah, M. F.; Manton, N. S. 16 1993 Magnetic monopoles and the Yang-Baxter equations. Zbl 0757.53038Atiyah, Michael 7 1991 The geometry and physics of knots. Zbl 0729.57002Atiyah, Michael 80 1990 On framings of 3-manifolds. Zbl 0716.57011Atiyah, Michael 58 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. 34 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 41 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. 7 1989 K-theory. With notes by D. W. Anderson. Reprint. Zbl 0676.55006Atiyah, Michael F. 3 1989 Topological quantum field theories. Zbl 0692.53053Atiyah, Michael 238 1988 The geometry and dynamics of magnetic monopoles. Zbl 0671.53001Atiyah, Michael; Hitchin, Nigel 218 1988 New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018Atiyah, Michael 16 1988 Collected works. Volume 5: Gauge theories. Zbl 0691.53003Atiyah, Michael 7 1988 Collected works. Volume 2: \(K\)-Theory. Zbl 0724.55001Atiyah, Michael 3 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 45 1987 Magnetic monopoles in hyperbolic spaces. Zbl 0722.53063Atiyah, M. F. 10 1987 Magnetic monopoles in hyperbolic spaces. Zbl 0688.53027Atiyah, M. F. 5 1987 On the work of Simon Donaldson. Zbl 0666.01010Atiyah, Michael 3 1987 Low energy scattering of nonabelian monopoles. Zbl 1177.53069Atiyah, M. F.; Hitchin, N. J. 58 1985 Circular symmetry and stationary-phase approximation. Zbl 0578.58039Atiyah, Michael F. 14 1985 Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035Atiyah, Michael; Hitchin, Nigel J. 12 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 296 1984 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 115 1984 Instantons in two and four dimensions. Zbl 0564.58040Atiyah, Michael F. 51 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 620 1983 Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026Atiyah, Michael F. 29 1983 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 24 1983 Convexity and loop groups. Zbl 0529.22013Atiyah, Michael F.; Pressley, A. N. 7 1983 Convexity and commuting Hamiltonians. Zbl 0482.58013Atiyah, Michael F. 272 1982 Green’s functions for self-dual four-manifolds. Zbl 0484.53036Atiyah, Michael F. 2 1981 Yang-Mills and bundles over algebraic curves. Zbl 0499.14005Atiyah, Michael F.; Bott, Raoul 2 1981 Geometrical aspects of gauge theories. Zbl 0428.58018Atiyah, Michael F. 2 1980 Geometry of Yang-Mills fields. Zbl 0435.58001Atiyah, Michael F. 106 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. 517 1978 Construction of instantons. Zbl 0424.14004Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 330 1978 Topological aspects of Yang-Mills theory. Zbl 0387.55009Atiyah, Michael F.; Jones, J. D. S. 70 1978 The unity of mathematics. Zbl 0376.00001Atiyah, Michael F. 1 1978 Instantons and algebraic geometry. Zbl 0362.14004Atiyah, Michael F.; Ward, R. S. 108 1977 A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001Atiyah, Michael; Schmid, Wilfried 70 1977 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 17 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. 283 1976 Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015Atiyah, Michael F. 131 1976 Vector bundles on projective 3-spaces. Zbl 0332.32020Atiyah, Michael F.; Rees, E. 25 1976 Bakerian lecture, 1975. Global geometry. Zbl 0313.57001Atiyah, Michael F. 3 1976 ...and 73 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,335 Authors 118 Biswas, Indranil 39 Atiyah, Michael Francis 38 Mathai, Varghese 31 Bismut, Jean-Michel 31 Gilkey, Peter B. 29 Carey, Alan L. 28 Witten, Edward 28 Zhang, Weiping 25 Savin, Anton Yur’evich 24 Freed, Daniel Stuart 24 Visweswaran, Subramanian 23 Popov, Alexander D. 22 Ballico, Edoardo 22 Hurtubise, Jacques C. 22 Nikandish, Reza 21 Nikmehr, Mohammad Javad 21 Pelayo, Alvaro 20 Davidov, Johann T. 19 Sternin, Boris Yur’evich 18 Dumitrescu, Sorin 18 García-Prada, Oscar 18 Jeffrey, Lisa Claire 17 Benameur, Moulay-Tahar 17 Guillemin, Victor W. 17 LeBrun, Claude R. 17 Moore, Gregory Winthrop 17 Szabo, Richard J. 16 Dobbs, David Earl 16 Gomi, Kiyonori 16 Gukov, Sergei 16 Murray, Michael K. 16 Sati, Hisham 16 Vergne, Michèle 15 Lechtenfeld, Olaf 15 Rosenberg, Jonathan Micah 15 Schulze, Bert-Wolfgang 15 Theriault, Stephen D. 14 Karoubi, Max 14 Morozov, Alexei Yurievich 14 Petrie, Ted 14 Salamon, Simon Montague 14 Schick, Thomas 14 Sutcliffe, Paul Michael 14 Vafa, Cumrun 14 Yu, Guoliang 13 Akbari, Saieed 13 Andersen, Jørgen Ellegaard 13 Heinzer, William J. 13 Huebschmann, Johannes 13 Jardim, Marcos 13 Kono, Akira 13 Park, Jinsung 13 Ruberman, Daniel 13 Schroers, Bernd J. 13 Waterstraat, Nils 13 Weinberger, Shmuel 12 Furutani, Kenro 12 Hochs, Peter 12 Itoh, Mitsuhiro 12 Kishimoto, Daisuke 12 Lott, John 12 Moroianu, Sergiu 12 Moscovici, Henri 12 Nekrasov, Nikita Alexandrovich 12 Schumacher, Georg 12 Sengupta, Ambar N. 12 Singer, Isadore Manuel 12 Taubes, Clifford Henry 12 Wu, Siye 11 Bott, Raoul Harry 11 Bruzzo, Ugo 11 Burban, Igor 11 Dai, Xianzhe 11 Donaldson, Simon Kirwan 11 Loya, Paul A. 11 Ma, Xiaonan 11 Mushkarov, Oleg K. 11 Nistor, Victor 11 Papadopoulos, George 11 Ponge, Raphaël S. 11 Selvakumar, Krishnan 11 Thomas, Charles Benedict 10 Ansari-Toroghy, Habibollah 10 Baum, Paul Frank 10 Boyer, Charles P. 10 Braverman, Maxim 10 Bytsenko, Andrei A. 10 Connes, Alain 10 Crabb, Michael C. 10 De Nittis, Giuseppe 10 Gibbons, Gary William 10 Gusein-Zade, Sabir M. 10 Han, Fei 10 Hitchin, Nigel James 10 Holm, Tara S. 10 Honda, Nobuhiro 10 Hu, Xijun 10 Karshon, Yael 10 Liu, Kefeng 10 Lomadze, Vakhtang ...and 7,235 more Authors all top 5 Cited in 521 Serials 482 Communications in Mathematical Physics 335 Journal of Geometry and Physics 293 Advances in Mathematics 280 Transactions of the American Mathematical Society 275 Journal of High Energy Physics 247 Journal of Mathematical Physics 238 Mathematische Annalen 200 Journal of Algebra 198 Communications in Algebra 198 Inventiones Mathematicae 194 Nuclear Physics. 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