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 Videos: carmin.tv Awards: Fields Medal (1966) · Abel Prize (2004) Documents Indexed: 263 Publications since 1952, including 27 Books and 3 Additional arXiv Preprints 10 Contributions as Editor · 11 Further Contributions Biographic References: 32 Publications Co-Authors: 134 Co-Authors with 130 Joint Publications 4,389 Co-Co-Authors all top 5 Co-Authors 146 single-authored 20 Bott, Raoul Harry 19 Singer, Isadore Manuel 11 Hirzebruch, Friedrich 8 Hitchin, Nigel 8 Patodi, Vijay Kumar 8 Segal, Graeme B. 4 Gårding, Lars 4 Macdonald, Ian Grant 4 Schmid, Wilfried 4 Tate, John Torrence jun. 3 Anderson, Donald W. 3 Borel, Armand 3 Donnelly, Harold 3 Hodge, William Vallance Douglas 3 Iagolnitzer, Daniel 3 Manton, Nicholas S. 3 Nirenberg, Louis 3 Serre, Jean-Pierre 2 Bass, Hyman 2 Deligne, Pierre 2 Friedan, Daniel Harry 2 Gray, Jeremy 2 Green, Michael B. 2 Hawking, Stephen William 2 Hirsch, Morris W. 2 Illusie, Luc 2 Jeffrey, Lisa Claire 2 Lax, Peter David 2 Llewellyn-Smith, C. H. 2 Manin, Yuriĭ Ivanovich 2 Marcolli, Matilde 2 Mazur, Barry 2 Raußen, Martin 2 Schroers, Bernd J. 2 Skau, Christian Fredrik 2 Sullivan, Dennis Parnell 2 Sutcliffe, Paul Michael 2 Wall, Charles Terence Clegg 2 Weinstein, Alan David 2 Witten, Edward 2 Zapata-Carratala, Carlos 1 Adams, John Frank 1 Arnocritt, R. 1 Arnol’d, Vladimir Igorevich 1 Artin, Michael 1 Baouendi, Mohammed Salah 1 Bar-Natan, Dror 1 Bär, Christian 1 Berndt, Jürgen 1 Berry, Michael 1 Bhanot, Gyan V. 1 Bielawski, Roger 1 Bojarski, Bogdan 1 Bokobza, Juliane 1 Boman, Jan 1 Bony, Jean-Michel 1 Bourguignon, Jean-Pierre 1 Boutet de Monvel, Louis 1 Brézin, Edouard 1 Broström, Sofia 1 Brown, Ken 1 Bundy, Alan 1 Carleson, Lennart 1 Cartan, Henri 1 Cartier, Pierre 1 Cassels, John William Scott 1 Cattaneo, Alberto Sergio 1 Chaitin, Gregory John 1 Chamseddine, Ali Hani 1 Chong, Chi Tat 1 Connes, Alain 1 Cuntz, Joachim 1 Cushman, Richard H. 1 Demailly, Jean-Pierre 1 Demazure, Michel 1 Dijkgraaf, Robbert H. 1 do Carmo, Manfredo Perdigão 1 Donaldson, Simon Kirwan 1 Drinfeld, Vladimir Gershonovich 1 Drury, Luke O’Connor 1 Duflot, Jeanne 1 Dunajski, Maciej 1 Dupont, Johan L. 1 Earle, Clifford J. 1 Eguchi, Tohru 1 Floyd, E. E. 1 Franchetti, Guido 1 Friedlander, Eric Mark 1 Fröhlich, Albrecht 1 Fröhlich, Jürg Martin 1 Gibbon, John D. 1 Glimm, James G. 1 Godbole, Rohini M. 1 Goddard, Peter 1 Goldschmith, Brendan 1 Goodwillie, Thomas Gehret 1 Gowers, William Timothy 1 Grayson, Daniel Richard 1 Greenberg, Marvin Jay 1 Greene, Robert Everist ...and 122 more Co-Authors 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 World Scientific Series in 20th Century Mathematics 2 Springer VideoMATH 1 International Journal of Modern Physics A 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 The Mathematical Gazette 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Chinese Annals of Mathematics. Series B 1 Advances in Mathematics (Beijing) 1 L’Enseignement Mathématique. 2e Série 1 Fiziko-Matematichesko Spisanie 1 Boletín de la Academia de Ciencias Físicas, Matematicas y Naturales (Caracas) 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Irish Mathematical Society Bulletin 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Izvestiya: Mathematics 1 Mathematics Today (Southend-on-Sea) 1 Advances in Theoretical and Mathematical Physics 1 NTM. Neue Serie 1 The Quarterly Journal of Mathematics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Journal of the London Mathematical Society 1 Bonner Mathematische Schriften 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Lecture Notes in Mathematics 1 Culture and History of Mathematics 1 Mathematical Medley 1 Ukraïns’kyĭ Matematychnyĭ Visnyk 1 European Journal of Mathematics 1 World Scientific Series in 21st Century Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Contemporary Mathematicians 1 Cambridge Mathematical Library all top 5 Fields 73 Global analysis, analysis on manifolds (58-XX) 67 History and biography (01-XX) 64 Differential geometry (53-XX) 61 Quantum theory (81-XX) 43 Manifolds and cell complexes (57-XX) 35 General and overarching topics; collections (00-XX) 29 Algebraic geometry (14-XX) 29 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 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) 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 186 Publications have been cited 14,630 times in 10,762 Documents Cited by ▼ Year ▼ Introduction to commutative algebra. Zbl 0175.03601 Atiyah, Michael F.; Macdonald, I. G. 1,821 1969 The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014 Atiyah, Michael F.; Bott, Raoul 760 1983 Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011 Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 605 1978 Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008 Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 591 1975 The index of elliptic operators. III. Zbl 0164.24301 Atiyah, Michael F.; Singer, I. M. 522 1968 Construction of instantons. Zbl 0424.14004 Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 487 1978 Clifford modules. Zbl 0146.19001 Atiyah, Michael F.; Bott, Raoul; Shapiro, A. 417 1964 Algebraic number theory. Zbl 0153.07403 403 1967 Complex analytic connections in fibre bundles. Zbl 0078.16002 Atiyah, Michael F. 390 1957 Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015 Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 376 1976 The moment map and equivariant cohomology. Zbl 0521.58025 Atiyah, Michael F.; Bott, Raoul 368 1984 Vector bundles over an elliptic curve. Zbl 0084.17305 Atiyah, Michael F. 360 1957 The index of elliptic operators. I. Zbl 0164.24001 Atiyah, Michael F.; Singer, Isadore Manuel 339 1968 Topological quantum field theories. Zbl 0692.53053 Atiyah, Michael 338 1988 Convexity and commuting Hamiltonians. Zbl 0482.58013 Atiyah, Michael F. 330 1982 The index of elliptic operators. IV, V. Zbl 0212.28603 Atiyah, Michael F.; Singer, I. M. 283 1971 The geometry and dynamics of magnetic monopoles. Zbl 0671.53001 Atiyah, Michael; Hitchin, Nigel 260 1988 A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703 Atiyah, Michael F.; Bott, Raoul 225 1968 On the heat equation and the index theorem. Zbl 0257.58008 Atiyah, Michael; Bott, Raoul; Patodi, V. K. 219 1973 Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016 Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 219 1975 Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015 Atiyah, Michael F. 185 1976 Vector bundles and homogeneous spaces. Zbl 0108.17705 Atiyah, Michael F.; Hirzebruch, Friedrich 171 1961 K-theory and reality. Zbl 0146.19101 Atiyah, Michael F. 171 1966 A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201 Atiyah, Michael F.; Bott, Raoul 164 1967 The index of elliptic operators on compact manifolds. Zbl 0118.31203 Atiyah, Michael F.; Singer, I. M. 154 1963 Equivariant \(K\)-theory and completion. Zbl 0215.24403 Atiyah, Michael F.; Segal, G. B. 150 1969 Geometry of Yang-Mills fields. Zbl 0435.58001 Atiyah, Michael F. 150 1979 The index of elliptic operators. II. Zbl 0164.24201 Atiyah, Michael F.; Segal, G. B. 149 1968 Riemann surfaces and spin structures. Zbl 0212.56402 Atiyah, Michael F. 139 1971 Dirac operators coupled to vector potentials. Zbl 0547.58033 Atiyah, Michael F.; Singer, I. M. 139 1984 Elliptic operators and compact groups. Zbl 0297.58009 Atiyah, Michael Francis 137 1974 Instantons and algebraic geometry. Zbl 0362.14004 Atiyah, Michael F.; Ward, R. S. 133 1977 Resolution of singularities and division of distributions. Zbl 0188.19405 Atiyah, Michael F. 124 1970 Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503 Atiyah, Michael F.; Singer, I. M. 121 1969 The geometry and physics of knots. Zbl 0729.57002 Atiyah, Michael 110 1990 Thom complexes. Zbl 0124.16301 Atiyah, Michael F. 108 1961 On the Krull-Schmidt theorem with application to sheaves. Zbl 0072.18101 Atiyah, Michael F. 105 1956 M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065 Atiyah, Michael; Witten, Edward 95 2002 Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203 Atiyah, Michael F.; Bott, Raoul; Gårding, Lars 91 1970 Group representations, \(\lambda\)-rings and the \(J\)-homomorphism. Zbl 0159.53301 Atiyah, Michael F.; Tall, D. O. 90 1969 A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001 Atiyah, Michael; Schmid, Wilfried 88 1977 Characters and cohomology of finite groups. Zbl 0107.02303 Atiyah, Michael F. 87 1961 Low energy scattering of nonabelian monopoles. Zbl 1177.53069 Atiyah, M. F.; Hitchin, N. J. 85 1985 An M-theory flop as a large \(N\) duality. Zbl 1061.81056 Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun 84 2001 Twisted \(K\)-theory. Zbl 1151.55301 Atiyah, Michael; Segal, Graeme 84 2004 Bott periodicity and the index of elliptic operators. Zbl 0159.53501 Atiyah, Michael F. 83 1968 Topological aspects of Yang-Mills theory. Zbl 0387.55009 Atiyah, Michael F.; Jones, J. D. S. 83 1978 Analytic cycles on complex manifolds. Zbl 0108.36401 Atiyah, Michael F.; Hirzebruch, Friedrich 81 1962 The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500 Hawking, Stephen; Penrose, Roger 78 1996 Introduction to commutative algebra. Student economy edition. Zbl 1351.13002 Atiyah, Michael F.; Macdonald, I. G. 76 2016 Spin-manifolds and group actions. Zbl 0193.52401 Atiyah, Michael F.; Hirzebruch, Friedrich 76 1970 \(K\)-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. 74 1967 Riemann-Roch theorems for differentiable manifolds. Zbl 0142.40901 Atiyah, Michael F.; Hirzebruch, Friedrich 68 1959 On framings of 3-manifolds. Zbl 0716.57011 Atiyah, Michael 66 1990 Instantons in two and four dimensions. Zbl 0564.58040 Atiyah, Michael F. 66 1984 Power operations in K-theory. Zbl 0144.44901 Atiyah, Michael F. 64 1966 Spectral asymmetry and Riemannian geometry. Zbl 0268.58010 Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 62 1973 On analytic surfaces with double points. Zbl 0135.21301 Atiyah, Michael F. 59 1958 The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035 Atiyah, Michael 54 1987 On equivariant Euler characteristics. Zbl 0708.19004 Atiyah, Michael; Segal, Graeme 52 1989 The signature of fibre-bundles. Zbl 0193.52302 Atiyah, Michael F. 52 1969 The index problem for manifolds with boundary. Zbl 0163.34603 Atiyah, Michael F.; Bott, Raoul 50 1964 Circular symmetry and stationary-phase approximation. Zbl 0578.58039 Atiyah, Michael F. 46 1985 Topological Lagrangians and cohomology. Zbl 0721.58056 Atiyah, M. F.; Jeffrey, L. 45 1990 \(K\)-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. (Лекции по \(К\)-теории.) Zbl 0159.53401 Atiyah, Michael F. 45 1967 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001 Atiyah, M. F. 44 1990 Bordism and cobordism. Zbl 0104.17405 Atiyah, Michael F. 43 1961 New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018 Atiyah, Michael 41 1988 Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045 Atiyah, Michael F.; Bott, Raoul; Gårding, Lars 40 1973 Twisted \(K\)-theory and cohomology. Zbl 1138.19003 Atiyah, Michael; Segal, Graeme 36 2006 Vector bundles and the Künneth formula. Zbl 0108.17801 Atiyah, Michael F. 36 1962 Global theory of elliptic operators. Zbl 0193.43601 Atiyah, Michael F. 36 1970 The Riemann-Roch theorem for analytic embeddings. Zbl 0108.36402 Atiyah, Michael F.; Hirzebruch, Friedrich 36 1962 Cohomology of groups. Zbl 1494.20079 Atiyah, M. F.; Wall, C. T. C. 35 1967 A Lefschetz fixed point formula for elliptic differential operators. Zbl 0151.31801 Atiyah, Michael F.; Bott, Raoul 32 1966 Vector bundles on projective 3-spaces. Zbl 0332.32020 Atiyah, Michael F.; Rees, E. 31 1976 Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026 Atiyah, Michael F. 31 1983 Complex fibre bundles and ruled surfaces. Zbl 0174.52804 Atiyah, Michael F. 30 1955 Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes). Zbl 0109.16002 Atiyah, Michael F.; Hirzebruch, Friedrich 30 1961 Geometry and kinematics of two Skyrmions. Zbl 0778.53051 Atiyah, M. F.; Manton, N. S. 29 1993 Deformations of instantons. Zbl 0356.58011 Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 29 1977 Curvature, cones and characteristic numbers. Zbl 1273.53041 Atiyah, Michael; Lebrun, Claude 28 2013 Vector fields on manifolds. Zbl 0193.52303 Atiyah, Michael F. 28 1970 Integrals of the second kind on an algebraic variety. Zbl 0068.34401 Hodge, W. V. D.; Atiyah, Michael F. 28 1955 K-theory and the Hopf invariant. Zbl 0136.43903 Adams, J. F.; Atiyah, Michael F. 26 1966 Vector fields with finite singularities. Zbl 0233.57010 Atiyah, Michael F.; Dupont, J. L. 26 1972 On complex Stiefel manifolds. Zbl 0109.16102 Atiyah, Michael F.; Todd, J. A. 26 1960 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 25 1983 Fields Medallists’ lectures. Zbl 0913.01020 24 1997 K-theory. With notes by D. W. Anderson. Reprint. Zbl 0676.55006 Atiyah, Michael F. 22 1989 On the periodicity theorem for complex vector bundles. Zbl 0131.38201 Atiyah, Michael F.; Bott, Raoul 22 1964 Polyhedra in physics, chemistry and geometry. Zbl 1050.52002 Atiyah, Michael; Sutcliffe, Paul 20 2003 Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004 Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J. 20 2017 The geometry of point particles. Zbl 1010.58015 Atiyah, Michael; Sutcliffe, Paul 18 2002 Immersions and embeddings of manifolds. Zbl 0109.41101 Atiyah, Michael F. 17 1962 Convexity and loop groups. Zbl 0529.22013 Atiyah, Michael F.; Pressley, A. N. 17 1983 Geometric models of matter. Zbl 1364.53046 Atiyah, M. F.; Manton, N. S.; Schroers, B. J. 16 2012 The geometry and physics of knots. Zbl 0696.57002 Atiyah, M. F. 16 1989 The Yang-Mills equations and the structure of 4-manifolds. Zbl 0614.57007 Atiyah, M. F. 16 1984 Algebraic topology and elliptic operators. Zbl 0145.43804 Atiyah, Michael F. 16 1967 Complex geometry of nuclei and atoms. Zbl 1432.81069 Atiyah, M. F.; Manton, N. S. 1 2019 The relativistic geometry and dynamics of electrons. Zbl 1391.81206 Atiyah, M. F.; Malkoun, Joseph 2 2018 Understanding the 6-dimensional sphere. Zbl 1425.53088 Atiyah, Michael 1 2018 Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004 Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J. 20 2017 Introduction to commutative algebra. Student economy edition. Zbl 1351.13002 Atiyah, Michael F.; Macdonald, I. G. 76 2016 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022 Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 Time evolution in a geometric model of a particle. Zbl 1388.83043 Atiyah, M. F.; Franchetti, G.; Schroers, B. J. 2 2015 Friedrich Hirzebruch (1927–2012). Zbl 1338.01024 2 2014 Curvature, cones and characteristic numbers. Zbl 1273.53041 Atiyah, Michael; Lebrun, Claude 28 2013 Geometric models of matter. Zbl 1364.53046 Atiyah, M. F.; Manton, N. S.; Schroers, B. J. 16 2012 A shifted view of fundamental physics. Zbl 1238.83047 Atiyah, Michael; Moore, Gregory W. 3 2011 Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067 Atiyah, Michael; Cushman, Richard; Heckman, Gert; van den Ban, Erik; Kolk, Johan; Nirenberg, Louis; Sjamaar, Reyer; Sjöstrand, Johannes 2 2011 Geometry and physics. Zbl 1420.57003 Atiyah, Michael; Dijkgraaf, Robbert; Hitchin, Nigel 5 2010 Obituary: Raoul Harry Bott, FRS, 1923-2005. Zbl 1181.01039 Atiyah, Michael 2 2010 Twisted \(K\)-theory and cohomology. Zbl 1138.19003 Atiyah, Michael; Segal, Graeme 36 2006 Mathematics: art and science. Zbl 1121.00307 Atiyah, Michael 2 2006 The interface between mathematics and physics: a panel discussion sponsored by the DIT & the RIA. Academy House, 6th September 2005. Panellist: Prof. Sir Michael Atiyah; Prof Sir Michael Berry; Prof Luke Drury; Prof Arthur Jaffe; Prof Brendan Goldsmith (Chair). Zbl 1186.00036 Atiyah, Michael; Berry, Michael; Drury, Luke; Jaffe, Arthur; Goldschmith, Brendan 1 2006 Abstracts of additional presentations made at the Royal Society discussion meeting ‘The nature of mathematical proof’. Zbl 1152.03303 Bundy, Alan; Mackenzie, Donald; Atiyah, Michael; Macintyre, Angus 6 2005 Twisted \(K\)-theory. Zbl 1151.55301 Atiyah, Michael; Segal, Graeme 84 2004 Collected works. Volume 6. Zbl 1099.01024 Atiyah, Michael 3 2004 Evolution of …Global geometry (Bakerian lecture, 1975). Zbl 1187.58001 Atiyah, M. F. 3 2004 A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004 Atiyah, Michael; Hopkins, Michael 2 2004 Polyhedra in physics, chemistry and geometry. Zbl 1050.52002 Atiyah, Michael; Sutcliffe, Paul 20 2003 Projective planes, Severi varieties and spheres. Zbl 1057.53040 Atiyah, Michael; Berndt, Jürgen 12 2003 M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065 Atiyah, Michael; Witten, Edward 95 2002 The geometry of point particles. Zbl 1010.58015 Atiyah, Michael; Sutcliffe, Paul 18 2002 Nahm’s equations, configuration spaces and flag manifolds. Zbl 1022.22007 Atiyah, Michael; Bielawski, Roger 8 2002 Mathematics in the 20th century. Zbl 1022.01007 Atiyah, Michael 7 2002 On the unreasonable effectiveness of physics in mathematics. Zbl 1150.00002 Atiyah, Michael 1 2002 An M-theory flop as a large \(N\) duality. Zbl 1061.81056 Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun 84 2001 Configurations of points. Zbl 1037.58007 Atiyah, Michael 15 2001 \(K\)-theory past and present. Zbl 1061.19500 Atiyah, Michael 5 2001 Equivariant cohomology and representations of the symmetric group. Zbl 1057.20007 Atiyah, M. 3 2001 Mathematics in the 20th century. Zbl 1081.01502 Atiyah, Michael 1 2001 Mathematics: frontiers and perspectives. Zbl 1047.00015 15 2000 The geometry of classical particles. Zbl 1050.55502 Atiyah, Michael 8 2000 Paul Dirac: The man and his work. Edited by Peter Goddard. Memorial address by Stephen Hawking. Zbl 0917.01032 Pais, Abraham; Jacob, Maurice; Olive, David; Atiyah, Michael F. 4 1998 Obituary: John Arthur Todd. Zbl 0927.01042 Atiyah, M. F. 1 1998 Fields Medallists’ lectures. Zbl 0913.01020 24 1997 An introduction to topological quantum field theories. Zbl 0890.57019 Atiyah, Michael 4 1997 Geometry and physics: Where are we going? Zbl 0865.53063 Atiyah, Michael 2 1997 The nature of space and time. With a foreword by Michael Atiyah. Zbl 0962.83500 Hawking, Stephen; Penrose, Roger 78 1996 Collected papers of V. K. Patodi. Ed. and with a foreword by M. F. Atiyah and M. S. Narasimhan. Zbl 0902.01034 Patodi, V. K. 1 1996 Geometry and physics. Zbl 0864.57003 Atiyah, Michael 1 1996 Floer homology. Zbl 0837.58011 Atiyah, Michael 3 1995 Quantum theory and geometry. Zbl 0860.58001 Atiyah, Michael 2 1995 Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014 Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher 15 1994 Geometry and kinematics of two Skyrmions. Zbl 0778.53051 Atiyah, M. F.; Manton, N. S. 29 1993 Magnetic monopoles and the Yang-Baxter equations. Zbl 0757.53038 Atiyah, Michael 9 1991 The geometry and physics of knots. Zbl 0729.57002 Atiyah, Michael 110 1990 On framings of 3-manifolds. Zbl 0716.57011 Atiyah, Michael 66 1990 Topological Lagrangians and cohomology. Zbl 0721.58056 Atiyah, M. F.; Jeffrey, L. 45 1990 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001 Atiyah, M. F. 44 1990 Hyperkähler manifolds. Zbl 0699.53068 Atiyah, Michael 5 1990 Quantum field theory and low-dimensional geometry. Zbl 0804.53098 Atiyah, Michael 3 1990 The Jones-Witten invariants of knots. Zbl 0739.57001 Atiyah, Michael 2 1990 On equivariant Euler characteristics. Zbl 0708.19004 Atiyah, Michael; Segal, Graeme 52 1989 K-theory. With notes by D. W. Anderson. Reprint. Zbl 0676.55006 Atiyah, Michael F. 22 1989 The geometry and physics of knots. Zbl 0696.57002 Atiyah, M. F. 16 1989 The theory and applications of harmonic integrals. Reissued, with a foreword by Sir Michael Atiyah. Zbl 0693.14002 Hodge, W. V. D. 10 1989 Topological quantum field theories. Zbl 0692.53053 Atiyah, Michael 338 1988 The geometry and dynamics of magnetic monopoles. Zbl 0671.53001 Atiyah, Michael; Hitchin, Nigel 260 1988 New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018 Atiyah, Michael 41 1988 Collected works. Volume 5: Gauge theories. Zbl 0691.53003 Atiyah, Michael 9 1988 Collected works. Volume 2: \(K\)-Theory. Zbl 0724.55001 Atiyah, Michael 6 1988 The impact of physics on geometry. Zbl 0657.53054 Atiyah, Michael 1 1988 Topology and differential equations. Zbl 0687.35001 Atiyah, Michael 1 1988 The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035 Atiyah, Michael 54 1987 Magnetic monopoles in hyperbolic spaces. Zbl 0688.53027 Atiyah, M. F. 13 1987 Magnetic monopoles in hyperbolic spaces. Zbl 0722.53063 Atiyah, M. F. 12 1987 On the work of Simon Donaldson. Zbl 0666.01010 Atiyah, Michael 3 1987 Low energy scattering of nonabelian monopoles. Zbl 1177.53069 Atiyah, M. F.; Hitchin, N. J. 85 1985 Circular symmetry and stationary-phase approximation. Zbl 0578.58039 Atiyah, Michael F. 46 1985 Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035 Atiyah, Michael; Hitchin, Nigel J. 15 1985 Eigenvalues of the Dirac operator. Zbl 0568.53022 Atiyah, Michael 8 1985 Topological aspects of anomalies. Zbl 0651.58035 Atiyah, Michael 1 1985 The moment map and equivariant cohomology. Zbl 0521.58025 Atiyah, Michael F.; Bott, Raoul 368 1984 Dirac operators coupled to vector potentials. Zbl 0547.58033 Atiyah, Michael F.; Singer, I. M. 139 1984 Instantons in two and four dimensions. Zbl 0564.58040 Atiyah, Michael F. 66 1984 The Yang-Mills equations and the structure of 4-manifolds. Zbl 0614.57007 Atiyah, M. F. 16 1984 The moment map in symplectic geometry. Zbl 0615.53023 Atiyah, M. F. 8 1984 Signature defects of cusps and values of L-functions: The nonsplit case. Zbl 0577.58030 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 6 1984 The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014 Atiyah, Michael F.; Bott, Raoul 760 1983 Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026 Atiyah, Michael F. 31 1983 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 25 1983 Convexity and loop groups. Zbl 0529.22013 Atiyah, Michael F.; Pressley, A. N. 17 1983 Convexity and commuting Hamiltonians. Zbl 0482.58013 Atiyah, Michael F. 330 1982 Geometry and analysis of Shimizu L-functions. Zbl 0503.12007 Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 1 1982 Green’s functions for self-dual four-manifolds. Zbl 0484.53036 Atiyah, Michael F. 10 1981 Yang-Mills and bundles over algebraic curves. Zbl 0499.14005 Atiyah, Michael F.; Bott, Raoul 4 1981 Geometrical aspects of gauge theories. Zbl 0428.58018 Atiyah, Michael F. 3 1980 Real and complex geometry in four dimensions. Zbl 0454.53043 Atiyah, Michael F. 1 1980 Geometry of Yang-Mills fields. Zbl 0435.58001 Atiyah, Michael F. 150 1979 Erratum: A geometric construction of the discrete series for semisimple Lie groups. Zbl 0413.22009 Atiyah, Michael; Schmid, Wilfried 9 1979 The Harish-Chandra character. Zbl 0426.22014 Atiyah, Michael F. 2 1979 Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011 Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 605 1978 Construction of instantons. Zbl 0424.14004 Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 487 1978 Topological aspects of Yang-Mills theory. Zbl 0387.55009 Atiyah, Michael F.; Jones, J. D. S. 83 1978 The unity of mathematics. Zbl 0376.00001 Atiyah, Michael F. 2 1978 Instantons and algebraic geometry. Zbl 0362.14004 Atiyah, Michael F.; Ward, R. S. 133 1977 ...and 86 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,249 Authors 148 Biswas, Indranil 40 Atiyah, Michael Francis 40 Mathai, Varghese 35 Bismut, Jean-Michel 35 Savin, Anton Yur’evich 32 Carey, Alan L. 32 Witten, Edward 31 Gilkey, Peter B. 31 Visweswaran, Subramanian 31 Zhang, Weiping 28 Nikandish, Reza 27 Ballico, Edoardo 26 Dumitrescu, Sorin 26 Freed, Daniel Stuart 26 Hurtubise, Jacques C. 26 Popov, Alexander D. 24 Pelayo, Alvaro 23 García-Prada, Oscar 23 Jeffrey, Lisa Claire 23 Nikmehr, Mohammad Javad 22 Davidov, Johann T. 22 Sternin, Boris Yur’evich 21 Sati, Hisham 20 Dobbs, David Earl 20 Moore, Gregory Winthrop 20 Morozov, Alexei Yurievich 20 Schulze, Bert-Wolfgang 19 Benameur, Moulay-Tahar 19 Murray, Michael K. 19 Szabo, Richard J. 18 Gomi, Kiyonori 18 Schick, Thomas 18 Waterstraat, Nils 17 Guillemin, Victor W. 17 Karoubi, Max 17 LeBrun, Claude R. 17 Lechtenfeld, Olaf 17 Mason, Lionel J. 17 Nekrasov, Nikita Alexandrovich 17 Ruberman, Daniel 16 Andersen, Jørgen Ellegaard 16 Gukov, Sergei 16 Jardim, Marcos 16 Rosenberg, Jonathan Micah 16 Salamon, Simon Montague 16 Schroers, Bernd J. 16 Sutcliffe, Paul Michael 16 Theriault, Stephen D. 16 Vergne, Michèle 16 Wang, Hang 16 Yu, Guoliang 15 Kishimoto, Daisuke 15 Ma, Xiaonan 15 Svanes, Eirik Eik 15 Vafa, Cumrun 14 Akbari, Saieed 14 Bruzzo, Ugo 14 De Nittis, Giuseppe 14 Hochs, Peter 14 Huebschmann, Johannes 14 Kauffman, Louis Hirsch 14 Park, Jinsung 14 Petrie, Ted 14 Selvakumar, Krishnan 14 Sengupta, Ambar N. 14 Weinberger, Shmuel 13 Baraglia, David 13 Connes, Alain 13 Cvetič, Mirjam 13 Dai, Xianzhe 13 Finocchiaro, Carmelo Antonio 13 Gusein-Zade, Sabir M. 13 Heinzer, William J. 13 Hitchin, Nigel 13 Kono, Akira 13 Lück, Wolfgang 13 Nakazato, Hiroshi 13 Piazza, Paolo 13 Singer, Isadore Manuel 13 Taubes, Clifford Henry 12 Braverman, Maxim 12 Burban, Igor 12 Chien, Mao-Ting 12 Crabb, Michael C. 12 Furutani, Kenro 12 Gibbons, Gary William 12 Glazebrook, James F. 12 Honda, Nobuhiro 12 Hopkins, Michael Jerome 12 Itoh, Mitsuhiro 12 Kirwan, Frances Clare 12 Lott, John 12 Loya, Paul A. 12 Mironov, Andrei D. 12 Moroianu, Sergiu 12 Moscovici, Henri 12 Papadopoulos, George 12 Paradan, Paul-Emile 12 Ratiu, Tudor Stefan 12 Rayan, Steven ...and 9,149 more Authors all top 5 Cited in 611 Serials 513 Communications in Mathematical Physics 476 Journal of High Energy Physics 388 Journal of Geometry and Physics 342 Advances in Mathematics 300 Transactions of the American Mathematical Society 293 Nuclear Physics. 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Second Series 20 European Journal of Mathematics ...and 511 more Serials all top 5 Cited in 63 Fields 2,460 Algebraic geometry (14-XX) 2,348 Differential geometry (53-XX) 2,292 Quantum theory (81-XX) 2,112 Global analysis, analysis on manifolds (58-XX) 1,661 Manifolds and cell complexes (57-XX) 1,136 Algebraic topology (55-XX) 1,135 Commutative algebra (13-XX) 932 Several complex variables and analytic spaces (32-XX) 646 Relativity and gravitational theory (83-XX) 627 \(K\)-theory (19-XX) 579 Associative rings and algebras (16-XX) 541 Partial differential equations (35-XX) 538 Group theory and generalizations (20-XX) 473 Number theory (11-XX) 464 Functional analysis (46-XX) 452 Topological groups, Lie groups (22-XX) 410 Dynamical systems and ergodic theory (37-XX) 385 Combinatorics (05-XX) 371 Nonassociative rings and algebras (17-XX) 334 Category theory; homological algebra (18-XX) 308 Operator theory (47-XX) 231 Linear and multilinear algebra; matrix theory (15-XX) 195 Mechanics of particles and systems (70-XX) 156 Functions of a complex variable (30-XX) 129 General topology (54-XX) 109 Statistical mechanics, structure of matter (82-XX) 106 Computer science (68-XX) 103 Field theory and polynomials (12-XX) 95 Convex and discrete geometry (52-XX) 82 Ordinary differential equations (34-XX) 74 Order, lattices, ordered algebraic structures (06-XX) 72 History and biography (01-XX) 68 Mathematical logic and foundations (03-XX) 62 Abstract harmonic analysis (43-XX) 61 Geometry (51-XX) 60 Probability theory and stochastic processes (60-XX) 52 Information and communication theory, circuits (94-XX) 49 General and overarching topics; collections (00-XX) 47 Numerical analysis (65-XX) 47 Systems theory; control (93-XX) 43 Optics, electromagnetic theory (78-XX) 39 Special functions (33-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 25 Real functions (26-XX) 22 Statistics (62-XX) 21 Difference and functional equations (39-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Measure and integration (28-XX) 20 Mechanics of deformable solids (74-XX) 18 Operations research, mathematical programming (90-XX) 15 Approximations and expansions (41-XX) 14 Potential theory (31-XX) 13 Integral transforms, operational calculus (44-XX) 9 Fluid mechanics (76-XX) 9 Astronomy and astrophysics (85-XX) 9 Biology and other natural sciences (92-XX) 7 Integral equations (45-XX) 6 General algebraic systems (08-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 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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