Edit Profile Atiyah, Michael Francis Compute Distance To: Compute Author ID: atiyah.michael-francis Published as: Atiyah, M.; Atiyah, M. F.; Atiyah, Michael; Atiyah, Michael F.; Atiyah, Michael Francis; Atiyah, Sir Michael F. Homepage: http://www.maths.ed.ac.uk/school-of-mathematics/people?person=75 External Links: MGP · Math-Net.Ru · Wikidata · Celebratio Mathematica · dblp · GND · MacTutor Awards: Fields Medal (1966) · Abel Prize (2004) Documents Indexed: 264 Publications since 1952, including 34 Books Biographic References: 25 Publications all top 5 Co-Authors 145 single-authored 19 Bott, Raoul Harry 18 Singer, Isadore M. 11 Hirzebruch, Friedrich 8 Hitchin, Nigel James 7 Patodi, Vijay Kumar 7 Segal, Graeme B. 4 Gårding, Lars 4 Schmid, Wilfried 3 Donnelly, Harold 3 Iagolnitzer, Daniel 3 Macdonald, Ian Grant 3 Manton, Nicholas S. 2 Bass, Hyman 2 Borel, Armand 2 Ellis, Joshua R. 2 Friedan, Daniel Harry 2 Gray, Jeremy John 2 Green, Michael B. 2 Hirsch, Morris W. 2 Hodge, William Vallance Douglas 2 Llewellyn-Smith, C. H. 2 Manin, Yuri Ivanovich 2 Mazur, Barry 2 Nirenberg, Louis 2 Schroers, Bernd J. 2 Sutcliffe, Paul J. 2 Tate, John Torrence jun. 2 Weinstein, Alan David 2 Witten, Edward 2 Zapata-Carratala, Carlos 1 Adams, John Frank 1 Arnol’d, Vladimir Igorevich 1 Artin, Michael 1 Bär, Christian 1 Berndt, Jürgen 1 Berry, Michael Victor 1 Bielawski, Roger 1 Bojarski, Bogdan 1 Boman, Jan 1 Bony, Jean-Michel 1 Bourguignon, Jean-Pierre 1 Brézin, Edouard 1 Broström, Sofia 1 Brown, Ken 1 Bundy, Alan 1 Cartier, Pierre 1 Chaitin, Gregory J. 1 Chong, Chi Tat 1 Connes, Alain 1 Cuntz, Joachim 1 Cushman, Richard H. 1 Deligne, Pierre René 1 Demailly, Jean-Pierre 1 Demazure, Michel 1 Dijkgraaf, Robbert H. 1 do Carmo, Manfredo Perdigão 1 Drinfeld, Vladimir Gershonovich 1 Drury, Luke O’Connor 1 Duflot, Jeanne 1 Dunajski, Maciej 1 Dupont, Johan L. 1 Franchetti, Guido 1 Friedlander, Eric Mark 1 Friedman, Alex 1 Fröhlich, Jürg Martin 1 Gibbon, John D. 1 Glimm, James G. 1 Goldschmith, Brendan 1 Gowers, William Timothy 1 Grayson, Daniel Richard 1 Greenberg, Marvin Jay 1 Greene, Robert Everist 1 Greuel, Gert-Martin 1 Grubb, Gerd 1 Guillemin, Victor W. 1 Hartshorne, Robin 1 Heckman, Gert 1 Helgason, Sigurdur 1 Hopkins, Michael Jerome 1 Huang, Wenling 1 Illusie, Luc 1 Jackson, Allyn 1 Jacob, Maurice 1 Jaffe, Arthur Michael 1 Jeffrey, Lisa C. 1 Ji, Lizhen 1 Jones, John D. S. 1 Katz, Nicholas Michael 1 Kiselman, Christer Oscar 1 Kleiman, Steven Lawrence 1 Kolk, Johan A. C. 1 Kouneiher, Joseph 1 Kuh, Ernest Shiu-jen 1 Lax, Peter David 1 Lebowitz, Joel Louis 1 LeBrun, Claude R. 1 Lerner, Nicolas 1 Li, Jun 1 Loday, Jean-Louis 1 Mac Lane, Leslie Saunders ...and 45 more Co-Authors all top 5 Serials 10 Topology 9 Annals of Mathematics. Second Series 8 Bulletin of the London Mathematical Society 7 Notices of the American Mathematical Society 5 Uspekhi Matematicheskikh Nauk [N. S.] 5 Inventiones Mathematicae 5 The Quarterly Journal of Mathematics. Oxford Second Series 4 Communications in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Acta Mathematica 4 Proceedings of the Cambridge Philosophical Society 3 Publications Mathématiques 3 Proceedings of the London Mathematical Society. Third Series 3 Proceedings of the National Academy of Sciences of the United States of America 3 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 3 Bulletin of the American Mathematical Society. New Series 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Bulletin of the American Mathematical Society 2 American Mathematical Monthly 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Bulletin de la Société Mathématique de France 2 Normat 2 Notes and Records of the Royal Society of London 2 Philosophical Transactions of the Royal Society of London. Ser. A 2 Pokroky Matematiky, Fyziky & Astronomie 2 European Mathematical Society Newsletter 2 The Asian Journal of Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of High Energy Physics 2 Springer VideoMATH 1 International Journal of Modern Physics A 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 The Mathematical Gazette 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Chinese Annals of Mathematics. Series B 1 L’Enseignement Mathématique. 2e Série 1 Fiziko-Matematichesko Spisanie 1 Boletín de la Academia de Ciencias Físicas, Matematicas y Naturales (Caracas) 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Irish Mathematical Society Bulletin 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Izvestiya: Mathematics 1 Advances in Theoretical and Mathematical Physics 1 NTM. Neue Serie 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 1 Journal of the London Mathematical Society 1 Colloques Internationaux du Centre National de la Recherche Scientifique 1 Lecture Notes in Mathematics 1 Tata Institute of Fundamental Research. Studies in Mathematics 1 Mathematical Medley 1 Ukraïns’kyĭ Matematychnyĭ Visnyk 1 European Journal of Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 68 Global analysis, analysis on manifolds (58-XX) 62 Differential geometry (53-XX) 60 History and biography (01-XX) 58 Quantum theory (81-XX) 40 Manifolds and cell complexes (57-XX) 30 General and overarching topics; collections (00-XX) 27 Algebraic topology (55-XX) 26 Algebraic geometry (14-XX) 14 Partial differential equations (35-XX) 14 Relativity and gravitational theory (83-XX) 13 Several complex variables and analytic spaces (32-XX) 11 Topological groups, Lie groups (22-XX) 10 \(K\)-theory (19-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Number theory (11-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 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 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 168 Publications have been cited 11,100 times in 8,194 Documents Cited by ▼ Year ▼ Introduction to commutative algebra. Zbl 0175.03601Atiyah, Michael F.; Macdonald, I. G. 1,336 1969 The Yang-Mills equations over Riemann surfaces. Zbl 0509.14014Atiyah, Michael F.; Bott, Raoul 583 1983 Self-duality in four-dimensional Riemannian geometry. Zbl 0389.53011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 497 1978 The index of elliptic operators. III. Zbl 0164.24301Atiyah, Michael F.; Singer, I. M. 452 1968 Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 446 1975 Construction of instantons. Zbl 0424.14004Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 337 1978 Clifford modules. Zbl 0146.19001Atiyah, Michael F.; Bott, Raoul; Shapiro, A. 334 1964 Vector bundles over an elliptic curve. Zbl 0084.17305Atiyah, Michael F. 296 1957 Complex analytic connections in fibre bundles. Zbl 0078.16002Atiyah, Michael F. 293 1957 The moment map and equivariant cohomology. Zbl 0521.58025Atiyah, Michael F.; Bott, Raoul 292 1984 The index of elliptic operators. I. Zbl 0164.24001Atiyah, Michael F.; Singer, Isadore Manuel 291 1968 Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 266 1976 Convexity and commuting Hamiltonians. Zbl 0482.58013Atiyah, Michael F. 255 1982 The geometry and dynamics of magnetic monopoles. Zbl 0671.53001Atiyah, Michael; Hitchin, Nigel 229 1988 Topological quantum field theories. Zbl 0692.53053Atiyah, Michael 220 1988 A Lefschetz fixed point formula for elliptic complexes. II: Applications. Zbl 0167.21703Atiyah, Michael F.; Bott, Raoul 193 1968 The index of elliptic operators. IV, V. Zbl 0212.28603Atiyah, Michael F.; Singer, I. M. 187 1971 On the heat equation and the index theorem. Zbl 0257.58008Atiyah, Michael; Bott, Raoul; Patodi, V. K. 181 1973 Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 162 1975 A Lefschetz fixed point formula for elliptic complexes. I. Zbl 0161.43201Atiyah, Michael F.; Bott, Raoul 135 1967 Vector bundles and homogeneous spaces. Zbl 0108.17705Atiyah, Michael F.; Hirzebruch, Friedrich 133 1961 Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015Atiyah, Michael F. 132 1976 The index of elliptic operators. II. Zbl 0164.24201Atiyah, Michael F.; Segal, G. B. 128 1968 Geometry of Yang-Mills fields. Zbl 0435.58001Atiyah, Michael F. 125 1979 K-theory and reality. Zbl 0146.19101Atiyah, Michael F. 119 1966 Equivariant K-theory and completion. Zbl 0215.24403Atiyah, Michael F.; Segal, G. B. 116 1969 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 113 1984 Instantons and algebraic geometry. Zbl 0362.14004Atiyah, Michael F.; Ward, R. S. 108 1977 Resolution of singularities and division of distributions. Zbl 0188.19405Atiyah, Michael F. 104 1970 The index of elliptic operators on compact manifolds. Zbl 0118.31203Atiyah, Michael F.; Singer, I. M. 103 1963 Elliptic operators and compact groups. Zbl 0297.58009Atiyah, Michael Francis 100 1974 Riemann surfaces and spin structures. Zbl 0212.56402Atiyah, Michael F. 99 1971 Thom complexes. Zbl 0124.16301Atiyah, Michael F. 94 1961 Characters and cohomology of finite groups. Zbl 0107.02303Atiyah, Michael F. 93 1961 The geometry and physics of knots. Zbl 0729.57002Atiyah, Michael 89 1990 Index theory for skew-adjoint Fredholm operators. Zbl 0194.55503Atiyah, Michael F.; Singer, I. M. 83 1969 On the Krull-Schmidt theorem with application to sheaves. Zbl 0072.18101Atiyah, Michael F. 80 1956 Lacunas for hyperbolic differential operators with constant coefficients.I. Zbl 0191.11203Atiyah, Michael F.; Bott, Raoul; Gårding, Lars 79 1970 M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065Atiyah, Michael; Witten, Edward 77 2002 An M-theory flop as a large \(N\) duality. Zbl 1061.81056Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun 70 2001 Group representations, \(\lambda\)-rings and the \(J\)-homomorphism. Zbl 0159.53301Atiyah, Michael F.; Tall, D. O. 70 1969 Bott periodicity and the index of elliptic operators. Zbl 0159.53501Atiyah, Michael F. 68 1968 Topological aspects of Yang-Mills theory. Zbl 0387.55009Atiyah, Michael F.; Jones, J. D. S. 67 1978 A geometric construction of the discrete series for semisimple Lie groups. Zbl 0373.22001Atiyah, Michael; Schmid, Wilfried 63 1977 Analytic cycles on complex manifolds. Zbl 0108.36401Atiyah, Michael F.; Hirzebruch, Friedrich 63 1962 Low energy scattering of nonabelian monopoles. Zbl 1177.53069Atiyah, M. F.; Hitchin, N. J. 61 1985 Power operations in K-theory. Zbl 0144.44901Atiyah, Michael F. 58 1966 Riemann-Roch theorems for differentiable manifolds. Zbl 0142.40901Atiyah, Michael F.; Hirzebruch, Friedrich 57 1959 On framings of 3-manifolds. Zbl 0716.57011Atiyah, Michael 54 1990 Spin-manifolds and group actions. Zbl 0193.52401Atiyah, Michael F.; Hirzebruch, Friedrich 54 1970 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. 45 1973 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001Atiyah, M. F. 44 1990 Introduction to commutative algebra. Student economy edition. Zbl 1351.13002Atiyah, Michael F.; Macdonald, I. G. 42 2016 The logarithm of the Dedekind \(\eta\)-function. Zbl 0648.58035Atiyah, Michael 42 1987 On analytic surfaces with double points. Zbl 0135.21301Atiyah, Michael F. 42 1958 On equivariant Euler characteristics. Zbl 0708.19004Atiyah, Michael; Segal, Graeme 37 1989 \(K\)-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. Zbl 0159.53401Atiyah, Michael F. 36 1967 Topological Lagrangians and cohomology. Zbl 0721.58056Atiyah, M. F.; Jeffrey, L. 34 1990 The index problem for manifolds with boundary. Zbl 0163.34603Atiyah, Michael F.; Bott, Raoul 30 1964 Twisted \(K\)-theory and cohomology. Zbl 1138.19003Atiyah, Michael; Segal, Graeme 29 2006 Angular momentum, convex polyhedra and algebraic geometry. Zbl 0521.58026Atiyah, Michael F. 29 1983 The Riemann-Roch theorem for analytic embeddings. Zbl 0108.36402Atiyah, Michael F.; Hirzebruch, Friedrich 29 1962 Vector bundles and the Künneth formula. Zbl 0108.17801Atiyah, Michael F. 29 1962 Bordism and cobordism. Zbl 0104.17405Atiyah, Michael F. 29 1961 Lacunas for hyperbolic differential operators with constant coefficients. II. Zbl 0266.35045Atiyah, Michael F.; Bott, Raoul; Gårding, Lars 28 1973 \(K\)-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. 27 1967 Vector bundles on projective 3-spaces. Zbl 0332.32020Atiyah, Michael F.; Rees, E. 24 1976 Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes). Zbl 0109.16002Atiyah, Michael F.; Hirzebruch, Friedrich 24 1961 Eta invariants, signature defects of cusps, and values of L-functions. Zbl 0531.58048Atiyah, Michael F.; Donnelly, H.; Singer, I. M. 23 1983 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. 22 1972 Complex fibre bundles and ruled surfaces. Zbl 0174.52804Atiyah, Michael F. 22 1955 K-theory and the Hopf invariant. Zbl 0136.43903Adams, J. F.; Atiyah, Michael F. 21 1966 On complex Stiefel manifolds. Zbl 0109.16102Atiyah, Michael F.; Todd, J. A. 21 1960 Integrals of the second kind on an algebraic variety. Zbl 0068.34401Hodge, W. V. D.; Atiyah, Michael F. 21 1955 Vector fields on manifolds. Zbl 0193.52303Atiyah, Michael F. 20 1970 New invariants of 3- and 4-dimensional manifolds. Zbl 0667.57018Atiyah, Michael 19 1988 Circular symmetry and stationary-phase approximation. Zbl 0578.58039Atiyah, Michael F. 19 1985 The signature of fibre-bundles. Zbl 0193.52302Atiyah, Michael F. 17 1969 On the periodicity theorem for complex vector bundles. Zbl 0131.38201Atiyah, Michael F.; Bott, Raoul 17 1964 Curvature, cones and characteristic numbers. Zbl 1273.53041Atiyah, Michael; Lebrun, Claude 16 2013 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 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 16 1977 Global theory of elliptic operators. Zbl 0193.43601Atiyah, Michael F. 16 1970 Polyhedra in physics, chemistry and geometry. Zbl 1050.52002Atiyah, Michael; Sutcliffe, Paul 15 2003 The geometry and physics of knots. Zbl 0696.57002Atiyah, M. F. 15 1989 Magnetic monopoles in hyperbolic spaces. Zbl 0722.53063Atiyah, M. F. 15 1987 Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035Atiyah, Michael; Hitchin, Nigel J. 15 1985 Immersions and embeddings of manifolds. Zbl 0109.41101Atiyah, Michael F. 15 1962 The geometry of point particles. Zbl 1010.58015Atiyah, Michael; Sutcliffe, Paul 14 2002 Some theorems of non-immersion for differentiable manifolds. Zbl 0196.55903Atiyah, Michael F.; Hirzebruch, Friedrich 14 1959 Algebraic topology and elliptic operators. Zbl 0145.43804Atiyah, Michael F. 13 1967 On the K-theory of compact Lie groups. Zbl 0136.21001Atiyah, Michael F. 13 1965 Geometric models of matter. Zbl 1364.53046Atiyah, M. F.; Manton, N. S.; Schroers, B. J. 12 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 Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J. 10 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. 10 2017 Introduction to commutative algebra. Student economy edition. Zbl 1351.13002Atiyah, Michael F.; Macdonald, I. G. 42 2016 Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L. 1 2016 Time evolution in a geometric model of a particle. Zbl 1388.83043Atiyah, M. F.; Franchetti, G.; Schroers, B. J. 2 2015 Friedrich Hirzebruch (1927–2012). Zbl 1338.01024Atiyah, Michael (ed.); Zagier, Don (ed.) 2 2014 Curvature, cones and characteristic numbers. Zbl 1273.53041Atiyah, Michael; Lebrun, Claude 16 2013 Geometric models of matter. Zbl 1364.53046Atiyah, M. F.; Manton, N. S.; Schroers, B. J. 12 2012 A shifted view of fundamental physics. Zbl 1238.83047Atiyah, Michael; Moore, Gregory W. 2 2011 Remembering Johannes J. Duistermaat (1942–2010). Zbl 1225.01067Guillemin, Victor (ed.); Pelayo, Álvaro (ed.); Vũ Ngọc, San (ed.); Weinstein, Alan (ed.); Atiyah, 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 29 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 A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004Atiyah, Michael; Hopkins, Michael 3 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 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 8 2003 M-theory dynamics on a manifold of \(G_2\) holonomy. Zbl 1033.81065Atiyah, Michael; Witten, Edward 77 2002 The geometry of point particles. Zbl 1010.58015Atiyah, Michael; Sutcliffe, Paul 14 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 An M-theory flop as a large \(N\) duality. Zbl 1061.81056Atiyah, Michael; Maldacena, Juan; Vafa, Cumrun 70 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 1047.00015Arnold, V. (ed.); Atiyah, M. (ed.); Lax, P. (ed.); Mazur, B. (ed.) 8 2000 The geometry of classical particles. Zbl 1050.55502Atiyah, Michael 6 2000 Obituary: John Arthur Todd. Zbl 0927.01042Atiyah, M. F. 1 1998 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 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 0913.01020Atiyah, Michael (ed.); Iagolnitzer, Daniel (ed.) 1 1997 Quantum theory and geometry. Zbl 0860.58001Atiyah, Michael 1 1995 Floer homology. Zbl 0837.58011Atiyah, 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 8 1991 The geometry and physics of knots. Zbl 0729.57002Atiyah, Michael 89 1990 On framings of 3-manifolds. Zbl 0716.57011Atiyah, Michael 54 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 Hyperkähler manifolds. Zbl 0699.53068Atiyah, Michael 2 1990 The Jones-Witten invariants of knots. Zbl 0739.57001Atiyah, Michael 2 1990 On equivariant Euler characteristics. Zbl 0708.19004Atiyah, Michael; Segal, Graeme 37 1989 The geometry and physics of knots. Zbl 0696.57002Atiyah, M. F. 15 1989 K-theory. With notes by D. W. Anderson. Reprint. Zbl 0676.55006Atiyah, Michael F. 4 1989 The geometry and dynamics of magnetic monopoles. Zbl 0671.53001Atiyah, Michael; Hitchin, Nigel 229 1988 Topological quantum field theories. Zbl 0692.53053Atiyah, Michael 220 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 8 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 42 1987 Magnetic monopoles in hyperbolic spaces. Zbl 0722.53063Atiyah, M. F. 15 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. 61 1985 Circular symmetry and stationary-phase approximation. Zbl 0578.58039Atiyah, Michael F. 19 1985 Low-energy scattering of non-Abelian magnetic monopoles. Zbl 0577.58035Atiyah, Michael; Hitchin, Nigel J. 15 1985 Eigenvalues of the Dirac operator. Zbl 0568.53022Atiyah, Michael 6 1985 The moment map and equivariant cohomology. Zbl 0521.58025Atiyah, Michael F.; Bott, Raoul 292 1984 Dirac operators coupled to vector potentials. Zbl 0547.58033Atiyah, Michael F.; Singer, I. M. 113 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. 8 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 583 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. 23 1983 Convexity and loop groups. Zbl 0529.22013Atiyah, Michael F.; Pressley, A. N. 9 1983 Convexity and commuting Hamiltonians. Zbl 0482.58013Atiyah, Michael F. 255 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 2 1981 Geometrical aspects of gauge theories. Zbl 0428.58018Atiyah, Michael F. 2 1980 Geometry of Yang-Mills fields. Zbl 0435.58001Atiyah, Michael F. 125 1979 Erratum: A geometric construction of the discrete series for semisimple Lie groups. Zbl 0413.22009Atiyah, Michael; Schmid, Wilfried 7 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. 497 1978 Construction of instantons. Zbl 0424.14004Atiyah, Michael F.; Hitchin, Nigel J.; Drinfeld, V. G.; Manin, Yu. I. 337 1978 Topological aspects of Yang-Mills theory. Zbl 0387.55009Atiyah, Michael F.; Jones, J. D. S. 67 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 63 1977 Deformations of instantons. Zbl 0356.58011Atiyah, Michael F.; Hitchin, Nigel J.; Singer, I. M. 16 1977 A survey of K-theory. Zbl 0345.55005Atiyah, Michael F. 1 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. 266 1976 Elliptic operators, discrete groups and von Neumann algebras. Zbl 0323.58015Atiyah, Michael F. 132 1976 Vector bundles on projective 3-spaces. Zbl 0332.32020Atiyah, Michael F.; Rees, E. 24 1976 Bakerian lecture, 1975. Global geometry. Zbl 0313.57001Atiyah, Michael F. 2 1976 Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 446 1975 Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016Atiyah, Michael F.; Patodi, V. K.; Singer, I. M. 162 1975 Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018Atiyah, Michael; Bott, Raoul; Patodi, V. K. 7 1975 Elliptic operators and compact groups. Zbl 0297.58009Atiyah, Michael Francis 100 1974 ...and 68 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,197 Authors 108 Biswas, Indranil 39 Atiyah, Michael Francis 37 Mathai, Varghese 31 Bismut, Jean-Michel 29 Gilkey, Peter B. 28 Carey, Alan L. 28 Witten, Edward 28 Zhang, Weiping 23 Savin, Anton Yur’evich 22 Freed, Daniel Stuart 22 Popov, Alexander D. 22 Visweswaran, Subramanian 21 Ballico, Edoardo 21 Hurtubise, Jacques C. 20 Pelayo, Alvaro 19 Davidov, Johann T. 19 Moore, Gregory Winthrop 19 Sternin, Boris Yur’evich 18 García-Prada, Oscar 17 Jeffrey, Lisa C. 17 Murray, Michael K. 17 Rosenberg, Jonathan Micah 16 Benameur, Moulay-Tahar 16 Dobbs, David Earl 16 Guillemin, Victor W. 16 LeBrun, Claude R. 16 Morozov, Alexei Yurievich 16 Nikmehr, Mohammad Javad 16 Schulze, Bert-Wolfgang 16 Vergne, Michèle 15 Karoubi, Max 15 Sati, Hisham 15 Schick, Thomas 15 Schroers, Bernd J. 15 Szabo, Richard J. 14 Dumitrescu, Sorin 14 Gomi, Kiyonori 14 Jardim, Marcos 14 Lechtenfeld, Olaf 14 Nikandish, Reza 14 Petrie, Ted 14 Salamon, Simon Montague 14 Sutcliffe, Paul M. 13 Akbari, Saieed 13 Andersen, Jørgen Ellegaard 13 Heinzer, William J. 13 Huebschmann, Johannes 13 Kono, Akira 13 Nekrasov, Nikita Alexandrovich 13 Park, Jinsung 13 Vafa, Cumrun 13 Yu, Guoliang 12 Furutani, Kenro 12 Gukov, Sergei 12 Itoh, Mitsuhiro 12 Moscovici, Henri 12 Ponge, Raphaël S. 12 Ruberman, Daniel 12 Sengupta, Ambar N. 12 Singer, Isadore M. 12 Taubes, Clifford Henry 12 Theriault, Stephen D. 12 Weinberger, Shmuel 12 Wu, Siye 11 Bott, Raoul Harry 11 Dai, Xianzhe 11 Kishimoto, Daisuke 11 Lott, John 11 Loya, Paul A. 11 Ma, Xiaonan 11 Moroianu, Sergiu 11 Papadopoulos, George 11 Thomas, Charles Benedict 11 Waterstraat, Nils 10 Baum, Paul Frank 10 Boyer, Charles P. 10 Braverman, Maxim 10 Bruzzo, Ugo 10 Bytsenko, Andrei A. 10 Connes, Alain 10 Cvetič, Mirjam 10 De Nittis, Giuseppe 10 Dessai, Anand Naique 10 Fontana, Marco 10 Gibbons, Gary William 10 Hochs, Peter 10 Holm, Tara S. 10 Honda, Nobuhiro 10 Hu, Xijun 10 Karshon, Yael 10 Lomadze, Vakhtang 10 Mason, Lionel J. 10 Mushkarov, Oleg K. 10 Nistor, Victor 10 Paradan, Paul-Emile 10 Piazza, Paolo 10 Portaluri, Alessandro 10 Ratiu, Tudor Stefan 10 tom Dieck, Tammo 10 Wakabayashi, Seiichiro ...and 7,097 more Authors all top 5 Cited in 486 Serials 463 Communications in Mathematical Physics 334 Journal of Geometry and Physics 309 Journal of High Energy Physics 278 Transactions of the American Mathematical Society 272 Advances in Mathematics 250 Journal of Mathematical Physics 232 Mathematische Annalen 203 Nuclear Physics. 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Neuvième Série 14 Fortschritte der Physik 14 Glasgow Mathematical Journal ...and 386 more Serials all top 5 Cited in 62 Fields 1,874 Differential geometry (53-XX) 1,830 Algebraic geometry (14-XX) 1,717 Global analysis, analysis on manifolds (58-XX) 1,657 Quantum theory (81-XX) 1,319 Manifolds and cell complexes (57-XX) 909 Algebraic topology (55-XX) 799 Commutative algebra (13-XX) 713 Several complex variables and analytic spaces (32-XX) 474 Relativity and gravitational theory (83-XX) 466 \(K\)-theory (19-XX) 434 Partial differential equations (35-XX) 421 Associative rings and algebras (16-XX) 409 Group theory and generalizations (20-XX) 353 Topological groups, Lie groups (22-XX) 351 Functional analysis (46-XX) 335 Dynamical systems and ergodic theory (37-XX) 322 Number theory (11-XX) 269 Nonassociative rings and algebras (17-XX) 235 Category theory; homological algebra (18-XX) 228 Operator theory (47-XX) 223 Combinatorics (05-XX) 167 Linear and multilinear algebra; matrix theory (15-XX) 134 Mechanics of particles and systems (70-XX) 122 Functions of a complex variable (30-XX) 87 General topology (54-XX) 80 Statistical mechanics, structure of matter (82-XX) 76 Field theory and polynomials (12-XX) 74 Convex and discrete geometry (52-XX) 67 Ordinary differential equations (34-XX) 67 Computer science (68-XX) 47 Abstract harmonic analysis (43-XX) 47 Systems theory; control (93-XX) 46 Mathematical logic and foundations (03-XX) 45 Order, lattices, ordered algebraic structures (06-XX) 42 History and biography (01-XX) 38 Probability theory and stochastic processes (60-XX) 38 Information and communication theory, circuits (94-XX) 37 Geometry (51-XX) 32 Numerical analysis (65-XX) 30 Special functions (33-XX) 28 Optics, electromagnetic theory (78-XX) 23 General and overarching topics; collections (00-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Operations research, mathematical programming (90-XX) 15 Measure and integration (28-XX) 15 Difference and functional equations (39-XX) 15 Mechanics of deformable solids (74-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Real functions (26-XX) 12 Statistics (62-XX) 10 Integral transforms, operational calculus (44-XX) 9 Potential theory (31-XX) 9 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 8 Biology and other natural sciences (92-XX) 7 Astronomy and astrophysics (85-XX) 5 General algebraic systems (08-XX) 5 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Classical thermodynamics, heat transfer (80-XX) 1 Sequences, series, summability (40-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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