Edit Profile Donaldson, Simon Kirwan Compute Distance To: Compute Author ID: donaldson.simon-k Published as: Donaldson, S.; Donaldson, S. K.; Donaldson, Simon; Donaldson, Simon K. Homepage: http://wwwf.imperial.ac.uk/~skdona/ External Links: MGP · Wikidata · GND · MacTutor Awards: Fields Medal (1986) · Shaw Prize (2009) · Breakthrough Prize in Mathematics (2014) · Wolf Prize (2020) Documents Indexed: 113 Publications since 1983, including 9 Books Reviewing Activity: 50 Reviews Biographic References: 4 Publications all top 5 Co-Authors 86 single-authored 7 Chen, Xiuxiong 6 Sun, Song 3 Auroux, Denis 3 Katzarkov, Ludmil 3 Kronheimer, Peter Benedict 2 Braam, Peter J. 2 Thomas, Charles Benedict 1 Bunch, R. S. 1 Eliashberg, Yakov Matveevich 1 Fine, Joel 1 Friedman, Robert M. 1 Gromov, Mikhael Leonidovich 1 Hitchin, Nigel James 1 Jeffrey, Lisa C. 1 Kirwan, Frances Clare 1 Lawrence-Naimar, Ruth 1 Lusztig, George 1 Schroers, Bernd J. 1 Segal, Ed 1 Smith, Ivan 1 Sullivan, Dennis Parnell 1 Thomas, Richard Paul 1 Witten, Edward 1 Yotov, Mirroslav all top 5 Serials 14 Journal of Differential Geometry 4 Notices of the American Mathematical Society 3 Topology 3 Journal of the American Mathematical Society 2 Communications in Mathematical Physics 2 Nonlinearity 2 Acta Mathematica 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 The Asian Journal of Mathematics 2 London Mathematical Society Lecture Note Series 2 Oxford Mathematical Monographs 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Collectanea Mathematica 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 IMRN. International Mathematics Research Notices 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Documenta Mathematica 1 Geometry & Topology 1 The Quarterly Journal of Mathematics 1 The Journal of Symplectic Geometry 1 Pure and Applied Mathematics Quarterly 1 Cambridge Tracts in Mathematics 1 Oxford Graduate Texts in Mathematics 1 Journal of Topology 1 Journal of Gökova Geometry Topology GGT all top 5 Fields 77 Differential geometry (53-XX) 44 Manifolds and cell complexes (57-XX) 35 Several complex variables and analytic spaces (32-XX) 33 Global analysis, analysis on manifolds (58-XX) 23 Algebraic geometry (14-XX) 15 Quantum theory (81-XX) 9 History and biography (01-XX) 5 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic topology (55-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 4,153 times in 2,470 Documents Cited by ▼ Year ▼ The geometry of four-manifolds. Zbl 0820.57002Donaldson, S. K.; Kronheimer, P. B. 461 1990 Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018Donaldson, S. K. 243 1985 Scalar curvature and stability of toric varieties. Zbl 1074.53059Donaldson, S. K. 204 2002 An application of gauge theory to four dimensional topology. Zbl 0507.57010Donaldson, S. K. 181 1983 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007Donaldson, S. K. 175 1990 Scalar curvature and projective embeddings. I. Zbl 1052.32017Donaldson, S. K. 164 2001 Infinite determinants, stable bundles and curvature. Zbl 0627.53052Donaldson, S. K. 130 1987 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096Chen, Xiuxiong; Donaldson, Simon; Sun, Song 109 2015 Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \(2\pi\) and completion of the main proof. Zbl 1311.53059Chen, Xiuxiong; Donaldson, Simon; Sun, Song 105 2015 Gauge theory in higher dimensions. Zbl 0926.58003Donaldson, S. K.; Thomas, R. P. 101 1998 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005Donaldson, S. 100 1987 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046Donaldson, S. K. 100 1987 Instantons and geometric invariant theory. Zbl 0581.14008Donaldson, S. K. 100 1984 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097Chen, Xiuxiong; Donaldson, Simon; Sun, Song 92 2015 Nahm’s equations and the classification of monopoles. Zbl 0603.58042Donaldson, S. K. 87 1984 Kähler metrics with cone singularities along a divisor. Zbl 1326.32039Donaldson, S. K. 86 2012 Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025Donaldson, S. K. 82 1999 A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027Donaldson, S. K. 78 1983 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032Donaldson, S. K. 76 1996 Floer homology groups in Yang-Mills theory. Zbl 0998.53057Donaldson, S. K. 72 2002 Lower bounds on the Calabi functional. Zbl 1149.53042Donaldson, S. K. 69 2005 Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007Donaldson, S. K. 69 1986 Irrationality and the h-cobordism conjecture. Zbl 0631.57010Donaldson, S. K. 60 1987 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067Donaldson, Simon K. 58 2009 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 58 1989 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094Donaldson, S. K. 55 1999 Gauge theory in higher dimensions. II. Zbl 1256.53038Donaldson, Simon; Segal, Ed 50 2011 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037Donaldson, Simon; Sun, Song 49 2014 Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066Donaldson, Simon K. 48 2008 Interior estimates for solutions of Abreu equation. Zbl 1085.53063Donaldson, S. K. 48 2005 Scalar curvature and projective embeddings. II. Zbl 1159.32012Donaldson, S. K. 47 2005 Some numerical results in complex differential geometry. Zbl 1178.32018Donaldson, S. K. 46 2009 Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029Donaldson, S.; Friedman, R. 44 1989 Boundary value problems for Yang-Mills fields. Zbl 0747.53022Donaldson, S. K. 43 1992 Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018Donaldson, S. K. 42 2006 The geometry of four-manifolds. Paperback ed. Zbl 0904.57001Donaldson, S. K.; Kronheimer, P. B. 42 1997 The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023Donaldson, S. K. 40 1996 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030Donaldson, S. K. 39 2008 Moment maps and diffeomorphisms. Zbl 0999.53053Donaldson, S. K. 38 1999 Singular Lefschetz pencils. Zbl 1077.53069Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil 30 2005 Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020Auroux, D.; Donaldson, S. K.; Katzarkov, L. 29 2003 Kähler-Einstein metrics and stability. Zbl 1331.32011Chen, Xiuxiong; Donaldson, Simon; Sun, Song 25 2014 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074Donaldson, Simon; Sun, Song 24 2017 Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102Donaldson, S. K. 24 2002 Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516Braam, P. J.; Donaldson, S. K. 23 1995 Yang-Mills invariants of four-manifolds. Zbl 0836.57012Donaldson, S. K. 22 1990 Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018Donaldson, S. K. 21 2012 Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040Donaldson, Simon; Smith, Ivan 21 2003 Lefschetz fibrations in symplectic geometry. Zbl 0909.53018Donaldson, S. K. 18 1998 Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012Donaldson, S. K. 15 1983 Nahm’s equations and free-boundary problems. Zbl 1211.58015Donaldson, Simon K. 12 2010 Conjectures in Kähler geometry. Zbl 1161.32010Donaldson, Simon K. 11 2005 Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039Donaldson, S. K. 11 1993 The approximation of instantons. Zbl 0778.57010Donaldson, S. K. 11 1993 Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031Donaldson, S. K. 10 1999 Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044Donaldson, Simon 9 2017 Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019Chen, X.-X.; Donaldson, S. K. 9 2013 Riemann surfaces. Zbl 1235.30001Donaldson, Simon 9 2011 Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M. 9 2004 Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027Donaldson, S. K. 9 2000 La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010Donaldson, Simon K. 8 1985 A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007Donaldson, Simon 7 2009 Floer homology and algebraic geometry. Zbl 0829.57011Donaldson, S. K. 7 1995 Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318Bunch, R. S.; Donaldson, Simon K. 6 2008 Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093Donaldson, Simon 5 2015 Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023Donaldson, S. K. 5 1985 b-stability and blow-ups. Zbl 1288.53070Donaldson, S. K. 4 2014 Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020Chen, X.-X.; Donaldson, S. K. 4 2013 Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020Donaldson, Simon K. 4 2012 Moment maps in differential geometry. Zbl 1078.53084Donaldson, S. K. 4 2003 Geometry in Oxford c. 1980–85. Zbl 0957.01030Donaldson, Simon 4 1999 Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517Braam, P. J.; Donaldson, S. K. 4 1995 The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093Donaldson, S. K. 3 2017 Some problems in differential geometry and topology. Zbl 1146.57301Donaldson, S. K. 3 2008 Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044Donaldson, Simon; Fine, Joel 3 2006 Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036Donaldson, S. K. 3 1993 Complex curves and surgery. Zbl 0696.57007Donaldson, Simon K. 3 1988 Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005Donaldson, S. K. 3 1987 Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 07085163Donaldson, Simon 2 2018 Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016Donaldson, Simon 2 2016 Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057Chen, X.-X.; Donaldson, S. K. 2 2014 What is …a pseudoholomorphic curve? Zbl 1090.32015Donaldson, Simon K. 2 2005 Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052Donaldson, S. K. 2 2001 The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016Donaldson, S. K. 2 2001 One hundred years of manifold topology. Zbl 0956.57004Donaldson, S. K. 2 1999 Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001Donaldson, Simon 1 2019 Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018Donaldson, Simon K. 1 2018 Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002Donaldson, Simon 1 2018 An elliptic boundary value problem for \(G_{2}\)-structures. Zbl 1416.53024Donaldson, Simon 1 2018 Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042Donaldson, Simon 1 2018 Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001Donaldson, Simon 1 2016 Lefschetz pencils and mapping class groups. Zbl 1259.32003Donaldson, S. K. 1 2006 Moment maps and diffeomorphisms. Zbl 1106.53037Donaldson, S. K. 1 2000 Gauge theory and four-manifold topology. Zbl 0855.57002Donaldson, S. K. 1 1994 On the work of Andreas Floer. Zbl 0777.01010Donaldson, S. K. 1 1993 Geometry of low-dimensional manifolds. 2: Symplectic manifolds and Jones- Witten theory. Proceedings of the Durham symposium, Durham, UK, July 1989. Zbl 0722.00024Donaldson, S. K. (ed.); Thomas, C. B. (ed.) 1 1990 Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018Donaldson, S. K. 1 1989 The geometry of 4-manifolds. Zbl 0673.57016Donaldson, Simon K. 1 1987 4-manifolds with indefinite intersection form. Zbl 0562.53022Donaldson, S. K. 1 1985 The Yang-Mills equations on Euclidean space. Zbl 0563.53058Donaldson, S. K. 1 1984 Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001Donaldson, Simon 1 2019 Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 07085163Donaldson, Simon 2 2018 Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018Donaldson, Simon K. 1 2018 Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002Donaldson, Simon 1 2018 An elliptic boundary value problem for \(G_{2}\)-structures. Zbl 1416.53024Donaldson, Simon 1 2018 Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042Donaldson, Simon 1 2018 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074Donaldson, Simon; Sun, Song 24 2017 Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044Donaldson, Simon 9 2017 The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093Donaldson, S. K. 3 2017 Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016Donaldson, Simon 2 2016 Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001Donaldson, Simon 1 2016 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096Chen, Xiuxiong; Donaldson, Simon; Sun, Song 109 2015 Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \(2\pi\) and completion of the main proof. Zbl 1311.53059Chen, Xiuxiong; Donaldson, Simon; Sun, Song 105 2015 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097Chen, Xiuxiong; Donaldson, Simon; Sun, Song 92 2015 Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093Donaldson, Simon 5 2015 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037Donaldson, Simon; Sun, Song 49 2014 Kähler-Einstein metrics and stability. Zbl 1331.32011Chen, Xiuxiong; Donaldson, Simon; Sun, Song 25 2014 b-stability and blow-ups. Zbl 1288.53070Donaldson, S. K. 4 2014 Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057Chen, X.-X.; Donaldson, S. K. 2 2014 Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019Chen, X.-X.; Donaldson, S. K. 9 2013 Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020Chen, X.-X.; Donaldson, S. K. 4 2013 Kähler metrics with cone singularities along a divisor. Zbl 1326.32039Donaldson, S. K. 86 2012 Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018Donaldson, S. K. 21 2012 Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020Donaldson, Simon K. 4 2012 Gauge theory in higher dimensions. II. Zbl 1256.53038Donaldson, Simon; Segal, Ed 50 2011 Riemann surfaces. Zbl 1235.30001Donaldson, Simon 9 2011 Nahm’s equations and free-boundary problems. Zbl 1211.58015Donaldson, Simon K. 12 2010 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067Donaldson, Simon K. 58 2009 Some numerical results in complex differential geometry. Zbl 1178.32018Donaldson, S. K. 46 2009 A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007Donaldson, Simon 7 2009 Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066Donaldson, Simon K. 48 2008 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030Donaldson, S. K. 39 2008 Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318Bunch, R. S.; Donaldson, Simon K. 6 2008 Some problems in differential geometry and topology. Zbl 1146.57301Donaldson, S. K. 3 2008 Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018Donaldson, S. K. 42 2006 Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044Donaldson, Simon; Fine, Joel 3 2006 Lefschetz pencils and mapping class groups. Zbl 1259.32003Donaldson, S. K. 1 2006 Lower bounds on the Calabi functional. Zbl 1149.53042Donaldson, S. K. 69 2005 Interior estimates for solutions of Abreu equation. Zbl 1085.53063Donaldson, S. K. 48 2005 Scalar curvature and projective embeddings. II. Zbl 1159.32012Donaldson, S. K. 47 2005 Singular Lefschetz pencils. Zbl 1077.53069Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil 30 2005 Conjectures in Kähler geometry. Zbl 1161.32010Donaldson, Simon K. 11 2005 What is …a pseudoholomorphic curve? Zbl 1090.32015Donaldson, Simon K. 2 2005 Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M. 9 2004 Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020Auroux, D.; Donaldson, S. K.; Katzarkov, L. 29 2003 Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040Donaldson, Simon; Smith, Ivan 21 2003 Moment maps in differential geometry. Zbl 1078.53084Donaldson, S. K. 4 2003 Scalar curvature and stability of toric varieties. Zbl 1074.53059Donaldson, S. K. 204 2002 Floer homology groups in Yang-Mills theory. Zbl 0998.53057Donaldson, S. K. 72 2002 Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102Donaldson, S. K. 24 2002 Scalar curvature and projective embeddings. I. Zbl 1052.32017Donaldson, S. K. 164 2001 Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052Donaldson, S. K. 2 2001 The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016Donaldson, S. K. 2 2001 Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027Donaldson, S. K. 9 2000 Moment maps and diffeomorphisms. Zbl 1106.53037Donaldson, S. K. 1 2000 Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025Donaldson, S. K. 82 1999 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094Donaldson, S. K. 55 1999 Moment maps and diffeomorphisms. Zbl 0999.53053Donaldson, S. K. 38 1999 Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031Donaldson, S. K. 10 1999 Geometry in Oxford c. 1980–85. Zbl 0957.01030Donaldson, Simon 4 1999 One hundred years of manifold topology. Zbl 0956.57004Donaldson, S. K. 2 1999 Gauge theory in higher dimensions. Zbl 0926.58003Donaldson, S. K.; Thomas, R. P. 101 1998 Lefschetz fibrations in symplectic geometry. Zbl 0909.53018Donaldson, S. K. 18 1998 The geometry of four-manifolds. Paperback ed. Zbl 0904.57001Donaldson, S. K.; Kronheimer, P. B. 42 1997 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032Donaldson, S. K. 76 1996 The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023Donaldson, S. K. 40 1996 Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516Braam, P. J.; Donaldson, S. K. 23 1995 Floer homology and algebraic geometry. Zbl 0829.57011Donaldson, S. K. 7 1995 Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517Braam, P. J.; Donaldson, S. K. 4 1995 Gauge theory and four-manifold topology. Zbl 0855.57002Donaldson, S. K. 1 1994 Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039Donaldson, S. K. 11 1993 The approximation of instantons. Zbl 0778.57010Donaldson, S. K. 11 1993 Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036Donaldson, S. K. 3 1993 On the work of Andreas Floer. Zbl 0777.01010Donaldson, S. K. 1 1993 Boundary value problems for Yang-Mills fields. Zbl 0747.53022Donaldson, S. K. 43 1992 The geometry of four-manifolds. Zbl 0820.57002Donaldson, S. K.; Kronheimer, P. B. 461 1990 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007Donaldson, S. K. 175 1990 Yang-Mills invariants of four-manifolds. Zbl 0836.57012Donaldson, S. K. 22 1990 Geometry of low-dimensional manifolds. 2: Symplectic manifolds and Jones- Witten theory. Proceedings of the Durham symposium, Durham, UK, July 1989. Zbl 0722.00024Donaldson, S. K. (ed.); Thomas, C. B. (ed.) 1 1990 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 58 1989 Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029Donaldson, S.; Friedman, R. 44 1989 Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018Donaldson, S. K. 1 1989 Complex curves and surgery. Zbl 0696.57007Donaldson, Simon K. 3 1988 Infinite determinants, stable bundles and curvature. Zbl 0627.53052Donaldson, S. K. 130 1987 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005Donaldson, S. 100 1987 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046Donaldson, S. K. 100 1987 Irrationality and the h-cobordism conjecture. Zbl 0631.57010Donaldson, S. K. 60 1987 Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005Donaldson, S. K. 3 1987 The geometry of 4-manifolds. Zbl 0673.57016Donaldson, Simon K. 1 1987 Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007Donaldson, S. K. 69 1986 Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018Donaldson, S. K. 243 1985 La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010Donaldson, Simon K. 8 1985 Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023Donaldson, S. K. 5 1985 4-manifolds with indefinite intersection form. Zbl 0562.53022Donaldson, S. K. 1 1985 Instantons and geometric invariant theory. Zbl 0581.14008Donaldson, S. K. 100 1984 Nahm’s equations and the classification of monopoles. Zbl 0603.58042Donaldson, S. K. 87 1984 The Yang-Mills equations on Euclidean space. Zbl 0563.53058Donaldson, S. K. 1 1984 Smooth 4-manifolds with definite intersection form. Zbl 0558.57005Donaldson, S. K. 1 1984 An application of gauge theory to four dimensional topology. Zbl 0507.57010Donaldson, S. K. 181 1983 A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027Donaldson, S. K. 78 1983 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,987 Authors 43 Biswas, Indranil 26 García-Prada, Oscar 23 Chen, Xiuxiong 23 Loi, Andrea 22 Tian, Gang 21 Popov, Alexander D. 20 Zhang, Xi 17 El Naschie, Mohamed Saladin 17 Lechtenfeld, Olaf 16 Arezzo, Claudio 16 Sheng, Li 15 Berman, Robert J. 15 Hurtubise, Jacques C. 14 Szabo, Zoltan 14 Székelyhidi, Gábor 13 Donaldson, Simon Kirwan 13 Li, An-Min 13 Li, Chi 13 Lisca, Paolo 13 Teleman, Andrei-Dumitru 12 Akhmedov, Anar 12 Feehan, Paul M. N. 12 Jardim, Marcos 12 LeBrun, Claude R. 12 Muñoz Velázquez, Vicente 12 Song, Jian 12 Sun, Song 11 Fujita, Kento 11 Leness, Thomas G. 11 Li, Jiayu 11 Oliveira, Goncalo 11 Ross, Julius 11 Rubinstein, Yanir A. 10 Cheltsov, Ivan Anatol’evich 10 Chen, Bohui 10 Huang, Hongnian 10 Huang, Teng 10 Keller, Julien 10 Moore, Gregory Winthrop 10 Odaka, Yuji 10 Ozsváth, Peter Steven 10 Park, B. Doug 10 Stipsicz, András I. 10 Wentworth, Richard A. 10 Xu, Chenyang 10 Zedda, Michela 10 Zhou, Bin 10 Zuddas, Fabio 9 Boyer, Charles P. 9 Bruzzo, Ugo 9 Darvas, Tamás 9 Ivanova, Tatiana A. 9 Joyce, Dominic David 9 Kotschick, Dieter 9 Kronheimer, Peter Benedict 9 Mabuchi, Toshiki 9 Qin, Zhenbo 9 Ruberman, Daniel 9 Simpson, Carlos Tschudi 9 Singer, Michael A. 9 Tsukamoto, Masaki 9 Verbitsky, Misha 9 Wehrheim, Katrin 9 Weinkove, Ben 8 Anderson, Lara B. 8 Berndtsson, Bo 8 Biquard, Olivier 8 Boucksom, Sébastien 8 Bradlow, Steven B. 8 Dervan, Ruadhaí 8 He, Weiyong 8 Ovrut, Burt A. 8 Phong, Duong Hong 8 Sergeev, Armen Glebovich 8 Seyyedali, Reza 8 Smith, Ivan 8 Svanes, Eirik Eik 8 Szabo, Richard J. 8 Wang, Yuanqi 8 Zhang, Chuanjing 8 Zhu, Xiaohua 7 Apostolov, Vestislav 7 Aßelmeyer-Maluga, Torsten 7 Atiyah, Michael Francis 7 Baykur, Refik İnanç 7 Buchdahl, Nicholas P. 7 Daskalopoulos, Georgios D. 7 Futaki, Akito 7 Garcia-Fernandez, Mario 7 Hambleton, Ian 7 Hayano, Kenta 7 Itoh, Mitsuhiro 7 Iwaniec, Tadeusz 7 Legendre, Eveline 7 Leung, Naichung Conan 7 Mrowka, Tomasz S. 7 Murray, Michael K. 7 Okonek, Christian 7 Park, Jae-Suk 7 Swann, Andrew F. ...and 1,887 more Authors all top 5 Cited in 251 Serials 133 Advances in Mathematics 127 Journal of Geometry and Physics 123 Communications in Mathematical Physics 99 Mathematische Annalen 96 Journal of High Energy Physics 81 Geometry & Topology 79 Transactions of the American Mathematical Society 72 Inventiones Mathematicae 62 Nuclear Physics. B 62 Mathematische Zeitschrift 58 Duke Mathematical Journal 56 The Journal of Geometric Analysis 54 Topology and its Applications 48 Proceedings of the American Mathematical Society 45 Annals of Global Analysis and Geometry 42 International Journal of Mathematics 36 Differential Geometry and its Applications 36 Calculus of Variations and Partial Differential Equations 31 Algebraic & Geometric Topology 29 Journal für die Reine und Angewandte Mathematik 26 Geometriae Dedicata 26 Bulletin of the American Mathematical Society. New Series 25 Journal of Mathematical Physics 25 Annales de l’Institut Fourier 25 Comptes Rendus. Mathématique. Académie des Sciences, Paris 24 Manuscripta Mathematica 22 Journal of Functional Analysis 22 Journal of the American Mathematical Society 22 Annals of Mathematics. Second Series 21 Chaos, Solitons and Fractals 21 Compositio Mathematica 20 Letters in Mathematical Physics 20 International Journal of Geometric Methods in Modern Physics 18 Journal of Mathematical Analysis and Applications 18 Geometric and Functional Analysis. GAFA 18 Journal of the European Mathematical Society (JEMS) 15 International Journal of Modern Physics A 15 Journal of the Mathematical Society of Japan 15 Complex Manifolds 13 Communications in Contemporary Mathematics 12 Physics Letters. B 12 Publications Mathématiques 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Nuclear Physics, B, Proceedings Supplements 11 Acta Mathematica 11 Selecta Mathematica. New Series 11 Acta Mathematica Sinica. English Series 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Science China. Mathematics 10 Michigan Mathematical Journal 10 Osaka Journal of Mathematics 10 Proceedings of the Japan Academy. Series A 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Memoirs of the American Mathematical Society 8 Israel Journal of Mathematics 8 Journal of Algebra 8 Journal of the London Mathematical Society. Second Series 8 Tohoku Mathematical Journal. Second Series 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Bulletin of the London Mathematical Society 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Forum Mathematicum 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Glasgow Mathematical Journal 6 Journal of Differential Equations 6 Journal of Algebraic Geometry 6 Journal of Topology 6 Japanese Journal of Mathematics. 3rd Series 6 Communications in Mathematics and Statistics 5 International Journal of Theoretical Physics 5 Mathematical Notes 5 Theoretical and Mathematical Physics 5 Fortschritte der Physik 5 Mathematische Nachrichten 5 Nagoya Mathematical Journal 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Proceedings of the London Mathematical Society. Third Series 5 Revista Matemática Iberoamericana 5 Central European Journal of Mathematics 5 Proceedings of the Steklov Institute of Mathematics 5 Journal of Fixed Point Theory and Applications 5 Kyoto Journal of Mathematics 5 Journal de l’École Polytechnique – Mathématiques 5 Bollettino dell’Unione Matematica Italiana 4 Modern Physics Letters A 4 Rocky Mountain Journal of Mathematics 4 Reviews in Mathematical Physics 4 Bulletin de la Société Mathématique de France 4 Illinois Journal of Mathematics 4 Journal of Pure and Applied Algebra 4 Kodai Mathematical Journal 4 Pacific Journal of Mathematics 4 Results in Mathematics 4 International Journal of Algebra and Computation 4 Proceedings of the National Academy of Sciences of the United States of America 4 Journal of Knot Theory and its Ramifications 4 Journal of Mathematical Sciences (New York) 4 Bulletin des Sciences Mathématiques ...and 151 more Serials all top 5 Cited in 54 Fields 1,227 Differential geometry (53-XX) 704 Algebraic geometry (14-XX) 681 Several complex variables and analytic spaces (32-XX) 625 Manifolds and cell complexes (57-XX) 541 Global analysis, analysis on manifolds (58-XX) 462 Quantum theory (81-XX) 179 Partial differential equations (35-XX) 107 Relativity and gravitational theory (83-XX) 77 Algebraic topology (55-XX) 66 Functions of a complex variable (30-XX) 58 Dynamical systems and ergodic theory (37-XX) 40 Group theory and generalizations (20-XX) 37 Mechanics of particles and systems (70-XX) 27 Associative rings and algebras (16-XX) 27 Functional analysis (46-XX) 21 Number theory (11-XX) 21 Nonassociative rings and algebras (17-XX) 20 Topological groups, Lie groups (22-XX) 19 Probability theory and stochastic processes (60-XX) 18 Operator theory (47-XX) 17 General topology (54-XX) 16 Category theory; homological algebra (18-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 13 History and biography (01-XX) 12 General and overarching topics; collections (00-XX) 12 \(K\)-theory (19-XX) 11 Convex and discrete geometry (52-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Geometry (51-XX) 8 Combinatorics (05-XX) 7 Commutative algebra (13-XX) 7 Potential theory (31-XX) 7 Ordinary differential equations (34-XX) 7 Numerical analysis (65-XX) 6 Measure and integration (28-XX) 6 Computer science (68-XX) 6 Fluid mechanics (76-XX) 5 Real functions (26-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Systems theory; control (93-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 3 Optics, electromagnetic theory (78-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Difference and functional equations (39-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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