Edit Profile (opens in new tab) Donaldson, Simon Kirwan Co-Author Distance Author ID: donaldson.simon-k Published as: Donaldson, S. K.; Donaldson, Simon; Donaldson, Simon K.; Donaldson, S. more...less Homepage: https://www.ma.imperial.ac.uk/~skdona/ External Links: MacTutor · MGP · Wikidata · GND · IdRef Awards: Fields Medal (1986) · Shaw Prize (2009) · Breakthrough Prize in Mathematics (2014) · Wolf Prize (2020) Documents Indexed: 123 Publications since 1983, including 6 Books and 9 Additional arXiv Preprints 6 Contributions as Editor · 4 Further Contributions Reviewing Activity: 50 Reviews Biographic References: 6 Publications Co-Authors: 29 Co-Authors with 34 Joint Publications 1,128 Co-Co-Authors all top 5 Co-Authors 96 single-authored 8 Chen, Xiuxiong 6 Sun, Song 3 Auroux, Denis 3 Katzarkov, Ludmil 3 Kronheimer, Peter Benedict 3 Thomas, Charles Benedict 2 Braam, Peter J. 2 Gromov, Mikhael Leonidovich 2 Hitchin, Nigel 2 Lawson, Herbert Blaine jun. 2 Lehmann, Fabian 2 Witten, Edward 2 Yau, Shing-Tung 1 Atiyah, Michael Francis 1 Berger, Marcel 1 Biquard, Olivier 1 Birman, Graciela Silvia 1 Bismut, Jean-Michel 1 Bourguignon, Jean-Pierre 1 Bryant, Robert L. 1 Bunch, R. S. 1 Calabi, Eugenio 1 Cao, Huai-Dong 1 Cheeger, Jeff 1 Eliashberg, Yakov Matveevich 1 Fine, Joel 1 Friedman, Robert M. 1 Griffiths, Phillip Augustus 1 Gual, Ximo 1 Jeffrey, Lisa Claire 1 Kirwan, Frances Clare 1 Lawrence-Naimar, Ruth 1 Lusztig, George 1 Marcus, Adam W. 1 Müller, Werner 1 Naveira, Antonio M. 1 Reventos, Agusti 1 Santaló, Luis Antonio 1 Scaduto, Christopher William 1 Schroers, Bernd J. 1 Segal, Ed 1 Smith, Ivan 1 Spielman, Daniel Alan 1 Srivastava, Nikhil 1 Sullivan, Dennis Parnell 1 Thomas, Richard Paul 1 Yotov, Mirroslav all top 5 Serials 14 Journal of Differential Geometry 5 Notices of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 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 The Asian Journal of Mathematics 2 The Quarterly 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 Journal of Symplectic Geometry 1 Pure and Applied Mathematics Quarterly 1 Cambridge Tracts in Mathematics 1 Oxford Graduate Texts in Mathematics 1 International Mathematical Series (New York) 1 Journal of Topology 1 Journal of Gökova Geometry Topology GGT 1 London Mathematical Society. Newsletter all top 5 Fields 89 Differential geometry (53-XX) 47 Manifolds and cell complexes (57-XX) 41 Several complex variables and analytic spaces (32-XX) 40 Global analysis, analysis on manifolds (58-XX) 27 Algebraic geometry (14-XX) 15 Quantum theory (81-XX) 14 History and biography (01-XX) 6 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 4 Topological groups, Lie groups (22-XX) 4 Functions of a complex variable (30-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Algebraic topology (55-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Number theory (11-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 5,524 times in 3,217 Documents Cited by ▼ Year ▼ The geometry of four-manifolds. Zbl 0820.57002 Donaldson, S. K.; Kronheimer, P. B. 548 1990 Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018 Donaldson, S. K. 323 1985 Scalar curvature and stability of toric varieties. Zbl 1074.53059 Donaldson, S. K. 285 2002 An application of gauge theory to four dimensional topology. Zbl 0507.57010 Donaldson, S. K. 242 1983 Scalar curvature and projective embeddings. I. Zbl 1052.32017 Donaldson, S. K. 209 2001 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007 Donaldson, S. K. 204 1990 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 197 2015 Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \(2\pi\) and completion of the main proof. Zbl 1311.53059 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 187 2015 Infinite determinants, stable bundles and curvature. Zbl 0627.53052 Donaldson, S. K. 155 1987 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 150 2015 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046 Donaldson, S. K. 145 1987 Gauge theory in higher dimensions. Zbl 0926.58003 Donaldson, S. K.; Thomas, R. P. 134 1998 Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025 Donaldson, S. K. 131 1999 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005 Donaldson, S. 125 1987 Kähler metrics with cone singularities along a divisor. Zbl 1326.32039 Donaldson, S. K. 112 2012 Instantons and geometric invariant theory. Zbl 0581.14008 Donaldson, S. K. 110 1984 Nahm’s equations and the classification of monopoles. Zbl 0603.58042 Donaldson, S. K. 103 1984 A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027 Donaldson, S. K. 98 1983 Floer homology groups in Yang-Mills theory. Zbl 0998.53057 Donaldson, S. K. 96 2002 Lower bounds on the Calabi functional. Zbl 1149.53042 Donaldson, S. K. 94 2005 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032 Donaldson, S. K. 94 1996 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037 Donaldson, Simon; Sun, Song 80 2014 Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007 Donaldson, S. K. 79 1986 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094 Donaldson, S. K. 74 1999 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067 Donaldson, Simon K. 73 2009 Irrationality and the h-cobordism conjecture. Zbl 0631.57010 Donaldson, S. K. 70 1987 Quasiconformal 4-manifolds. Zbl 0704.57008 Donaldson, S. K.; Sullivan, D. P. 65 1989 Gauge theory in higher dimensions. II. Zbl 1256.53038 Donaldson, Simon; Segal, Ed 64 2011 Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066 Donaldson, Simon K. 63 2008 Some numerical results in complex differential geometry. Zbl 1178.32018 Donaldson, S. K. 62 2009 Interior estimates for solutions of Abreu equation. Zbl 1085.53063 Donaldson, S. K. 59 2005 Scalar curvature and projective embeddings. II. Zbl 1159.32012 Donaldson, S. K. 59 2005 Boundary value problems for Yang-Mills fields. Zbl 0747.53022 Donaldson, S. K. 58 1992 Moment maps and diffeomorphisms. Zbl 0999.53053 Donaldson, S. K. 57 1999 Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018 Donaldson, S. K. 55 2006 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074 Donaldson, Simon; Sun, Song 54 2017 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030 Donaldson, S. K. 48 2008 Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029 Donaldson, S.; Friedman, R. 47 1989 The geometry of four-manifolds. Paperback ed. Zbl 0904.57001 Donaldson, S. K.; Kronheimer, P. B. 47 1997 The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023 Donaldson, S. K. 47 1996 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001 Atiyah, M. F. 44 1990 Singular Lefschetz pencils. Zbl 1077.53069 Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil 38 2005 Kähler-Einstein metrics and stability. Zbl 1331.32011 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 36 2014 Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102 Donaldson, S. K. 35 2002 Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516 Braam, P. J.; Donaldson, S. K. 33 1995 Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020 Auroux, D.; Donaldson, S. K.; Katzarkov, L. 33 2003 Yang-Mills invariants of four-manifolds. Zbl 0836.57012 Donaldson, S. K. 27 1990 Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018 Donaldson, S. K. 27 2012 Riemann surfaces. Zbl 1235.30001 Donaldson, Simon 27 2011 Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040 Donaldson, Simon; Smith, Ivan 25 2003 Lefschetz fibrations in symplectic geometry. Zbl 0909.53018 Donaldson, S. K. 22 1998 Nahm’s equations and free-boundary problems. Zbl 1211.58015 Donaldson, Simon K. 18 2010 Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012 Donaldson, S. K. 17 1983 Conjectures in Kähler geometry. Zbl 1161.32010 Donaldson, Simon K. 17 2005 Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039 Donaldson, S. K. 13 1993 Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069 Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M. 13 2004 Floer homology and algebraic geometry. Zbl 0829.57011 Donaldson, S. K. 12 1995 Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093 Donaldson, Simon 12 2015 Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031 Donaldson, S. K. 11 1999 Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044 Donaldson, Simon 11 2017 Moment maps in differential geometry. Zbl 1078.53084 Donaldson, S. K. 11 2003 The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093 Donaldson, S. K. 11 2017 Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027 Donaldson, S. K. 10 2000 La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010 Donaldson, Simon K. 10 1985 The approximation of instantons. Zbl 0778.57010 Donaldson, S. K. 10 1993 A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007 Donaldson, Simon 8 2009 Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018 Donaldson, Simon K. 8 2018 Geometry in Oxford c. 1980–85. Zbl 0957.01030 Donaldson, Simon 7 1999 Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020 Donaldson, Simon K. 7 2012 Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002 Donaldson, Simon 7 2018 Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019 Chen, X.-X.; Donaldson, S. K. 7 2013 Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517 Braam, P. J.; Donaldson, S. K. 6 1995 Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023 Donaldson, S. K. 6 1985 Some problems in differential geometry and topology. Zbl 1146.57301 Donaldson, S. K. 6 2008 Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318 Bunch, R. S.; Donaldson, Simon K. 6 2008 Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052 Donaldson, S. K. 5 2001 b-stability and blow-ups. Zbl 1288.53070 Donaldson, S. K. 5 2014 Lefschetz pencils and mapping class groups. Zbl 1259.32003 Donaldson, S. K. 4 2006 Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020 Chen, X.-X.; Donaldson, S. K. 4 2013 Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005 Donaldson, S. K. 3 1987 One hundred years of manifold topology. Zbl 0956.57004 Donaldson, S. K. 3 1999 Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044 Donaldson, Simon; Fine, Joel 3 2006 Complex curves and surgery. Zbl 0696.57007 Donaldson, Simon K. 3 1988 Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018 Donaldson, S. K. 3 1989 Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036 Donaldson, S. K. 3 1993 Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001 Donaldson, Simon 3 2016 Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002 Donaldson, Simon 3 2021 Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042 Donaldson, Simon 3 2018 Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056 Donaldson, Simon 3 2018 What is …a pseudoholomorphic curve? Zbl 1090.32015 Donaldson, Simon K. 2 2005 The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016 Donaldson, S. K. 2 2001 Moment maps and diffeomorphisms. Zbl 1106.53037 Donaldson, S. K. 2 2000 Gauge theory and four-manifold topology. Zbl 0855.57002 Donaldson, S. K. 2 1994 Geometry of low-dimensional manifolds. 2: Symplectic manifolds and Jones- Witten theory. Proceedings of the Durham symposium, Durham, UK, July 1989. Zbl 0722.00024 2 1990 Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057 Chen, X.-X.; Donaldson, S. K. 2 2014 Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016 Donaldson, Simon 2 2016 Deformations of multivalued harmonic functions. Zbl 1492.53084 Donaldson, Simon 2 2021 Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001 Donaldson, Simon 2 2019 The geometry of 4-manifolds. Zbl 0673.57016 Donaldson, Simon K. 1 1987 Smooth 4-manifolds with definite intersection form. Zbl 0558.57005 Donaldson, S. K. 1 1984 Extremal Kähler metrics and convex analysis. Zbl 1486.32009 Donaldson, Simon 1 2022 Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002 Donaldson, Simon 3 2021 Deformations of multivalued harmonic functions. Zbl 1492.53084 Donaldson, Simon 2 2021 Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001 Donaldson, Simon 2 2019 Memories of Sir Michael Atiyah. Zbl 1431.01042 Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd 1 2019 Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018 Donaldson, Simon K. 8 2018 Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002 Donaldson, Simon 7 2018 Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042 Donaldson, Simon 3 2018 Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056 Donaldson, Simon 3 2018 An elliptic boundary value problem for \(G_{2}\)-structures. (Un problème de type elliptique avec données au bord pour des structures \(G_{2}\).) Zbl 1416.53024 Donaldson, Simon 1 2018 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074 Donaldson, Simon; Sun, Song 54 2017 Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044 Donaldson, Simon 11 2017 The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093 Donaldson, S. K. 11 2017 Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001 Donaldson, Simon 3 2016 Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016 Donaldson, Simon 2 2016 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 197 2015 Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \(2\pi\) and completion of the main proof. Zbl 1311.53059 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 187 2015 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 150 2015 Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093 Donaldson, Simon 12 2015 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037 Donaldson, Simon; Sun, Song 80 2014 Kähler-Einstein metrics and stability. Zbl 1331.32011 Chen, Xiuxiong; Donaldson, Simon; Sun, Song 36 2014 b-stability and blow-ups. Zbl 1288.53070 Donaldson, S. K. 5 2014 Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057 Chen, X.-X.; Donaldson, S. K. 2 2014 Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019 Chen, X.-X.; Donaldson, S. K. 7 2013 Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020 Chen, X.-X.; Donaldson, S. K. 4 2013 Kähler metrics with cone singularities along a divisor. Zbl 1326.32039 Donaldson, S. K. 112 2012 Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018 Donaldson, S. K. 27 2012 Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020 Donaldson, Simon K. 7 2012 Gauge theory in higher dimensions. II. Zbl 1256.53038 Donaldson, Simon; Segal, Ed 64 2011 Riemann surfaces. Zbl 1235.30001 Donaldson, Simon 27 2011 Extremal Kähler metrics on toric surfaces (after S. Donaldson). (Métriques kählériennes extrémales sur les surfaces toriques (d’après S. Donaldson).) Zbl 1377.53090 Biquard, Olivier 1 2011 Nahm’s equations and free-boundary problems. Zbl 1211.58015 Donaldson, Simon K. 18 2010 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067 Donaldson, Simon K. 73 2009 Some numerical results in complex differential geometry. Zbl 1178.32018 Donaldson, S. K. 62 2009 A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007 Donaldson, Simon 8 2009 Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066 Donaldson, Simon K. 63 2008 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030 Donaldson, S. K. 48 2008 Some problems in differential geometry and topology. Zbl 1146.57301 Donaldson, S. K. 6 2008 Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318 Bunch, R. S.; Donaldson, Simon K. 6 2008 Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018 Donaldson, S. K. 55 2006 Lefschetz pencils and mapping class groups. Zbl 1259.32003 Donaldson, S. K. 4 2006 Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044 Donaldson, Simon; Fine, Joel 3 2006 Lower bounds on the Calabi functional. Zbl 1149.53042 Donaldson, S. K. 94 2005 Interior estimates for solutions of Abreu equation. Zbl 1085.53063 Donaldson, S. K. 59 2005 Scalar curvature and projective embeddings. II. Zbl 1159.32012 Donaldson, S. K. 59 2005 Singular Lefschetz pencils. Zbl 1077.53069 Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil 38 2005 Conjectures in Kähler geometry. Zbl 1161.32010 Donaldson, Simon K. 17 2005 What is …a pseudoholomorphic curve? Zbl 1090.32015 Donaldson, Simon K. 2 2005 Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069 Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M. 13 2004 Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020 Auroux, D.; Donaldson, S. K.; Katzarkov, L. 33 2003 Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040 Donaldson, Simon; Smith, Ivan 25 2003 Moment maps in differential geometry. Zbl 1078.53084 Donaldson, S. K. 11 2003 Scalar curvature and stability of toric varieties. Zbl 1074.53059 Donaldson, S. K. 285 2002 Floer homology groups in Yang-Mills theory. Zbl 0998.53057 Donaldson, S. K. 96 2002 Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102 Donaldson, S. K. 35 2002 Scalar curvature and projective embeddings. I. Zbl 1052.32017 Donaldson, S. K. 209 2001 Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052 Donaldson, S. K. 5 2001 The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016 Donaldson, S. K. 2 2001 Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027 Donaldson, S. K. 10 2000 Moment maps and diffeomorphisms. Zbl 1106.53037 Donaldson, S. K. 2 2000 Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025 Donaldson, S. K. 131 1999 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094 Donaldson, S. K. 74 1999 Moment maps and diffeomorphisms. Zbl 0999.53053 Donaldson, S. K. 57 1999 Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031 Donaldson, S. K. 11 1999 Geometry in Oxford c. 1980–85. Zbl 0957.01030 Donaldson, Simon 7 1999 One hundred years of manifold topology. Zbl 0956.57004 Donaldson, S. K. 3 1999 Gauge theory in higher dimensions. Zbl 0926.58003 Donaldson, S. K.; Thomas, R. P. 134 1998 Lefschetz fibrations in symplectic geometry. Zbl 0909.53018 Donaldson, S. K. 22 1998 The geometry of four-manifolds. Paperback ed. Zbl 0904.57001 Donaldson, S. K.; Kronheimer, P. B. 47 1997 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032 Donaldson, S. K. 94 1996 The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023 Donaldson, S. K. 47 1996 Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516 Braam, P. J.; Donaldson, S. K. 33 1995 Floer homology and algebraic geometry. Zbl 0829.57011 Donaldson, S. K. 12 1995 Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517 Braam, P. J.; Donaldson, S. K. 6 1995 Gauge theory and four-manifold topology. Zbl 0855.57002 Donaldson, S. K. 2 1994 Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039 Donaldson, S. K. 13 1993 The approximation of instantons. Zbl 0778.57010 Donaldson, S. K. 10 1993 Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036 Donaldson, S. K. 3 1993 On the work of Andreas Floer. Zbl 0777.01010 Donaldson, S. K. 1 1993 Boundary value problems for Yang-Mills fields. Zbl 0747.53022 Donaldson, S. K. 58 1992 The geometry of four-manifolds. Zbl 0820.57002 Donaldson, S. K.; Kronheimer, P. B. 548 1990 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007 Donaldson, S. K. 204 1990 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001 Atiyah, M. F. 44 1990 Yang-Mills invariants of four-manifolds. Zbl 0836.57012 Donaldson, S. K. 27 1990 Geometry of low-dimensional manifolds. 2: Symplectic manifolds and Jones- Witten theory. Proceedings of the Durham symposium, Durham, UK, July 1989. Zbl 0722.00024 2 1990 Quasiconformal 4-manifolds. Zbl 0704.57008 Donaldson, S. K.; Sullivan, D. P. 65 1989 Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029 Donaldson, S.; Friedman, R. 47 1989 Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018 Donaldson, S. K. 3 1989 Complex curves and surgery. Zbl 0696.57007 Donaldson, Simon K. 3 1988 Infinite determinants, stable bundles and curvature. Zbl 0627.53052 Donaldson, S. K. 155 1987 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046 Donaldson, S. K. 145 1987 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005 Donaldson, S. 125 1987 Irrationality and the h-cobordism conjecture. Zbl 0631.57010 Donaldson, S. K. 70 1987 Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005 Donaldson, S. K. 3 1987 The geometry of 4-manifolds. Zbl 0673.57016 Donaldson, Simon K. 1 1987 Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007 Donaldson, S. K. 79 1986 Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018 Donaldson, S. K. 323 1985 La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010 Donaldson, Simon K. 10 1985 Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023 Donaldson, S. K. 6 1985 4-manifolds with indefinite intersection form. Zbl 0562.53022 Donaldson, S. K. 1 1985 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,503 Authors 49 Biswas, Indranil 27 García-Prada, Oscar 27 Tian, Gang 27 Zhang, Xi 26 Chen, Xiuxiong 25 Loi, Andrea 21 Popov, Alexander D. 20 Berman, Robert J. 19 Li, Chi 18 Lechtenfeld, Olaf 18 Sheng, Li 17 Arezzo, Claudio 17 Székelyhidi, Gábor 17 Xu, Chenyang 16 El Naschie, Mohamed Saladin 16 Hurtubise, Jacques C. 16 Liu, Yuchen 16 Song, Jian 16 Sun, Song 15 Darvas, Tamás 15 Donaldson, Simon Kirwan 15 Li, An-Min 15 Szabo, Zoltan 15 Teleman, Andrei-Dumitru 14 Akhmedov, Anar 14 Feehan, Paul M. N. 14 Muñoz Velázquez, Vicente 13 Baykur, Refik İnanç 13 Fujita, Kento 13 Huang, Teng 13 Lisca, Paolo 13 Oliveira, Goncalo 13 Rubinstein, Yanir A. 13 Tipler, Carl 13 Wentworth, Richard A. 13 Yau, Shing-Tung 12 Biquard, Olivier 12 Boucksom, Sébastien 12 He, Weiyong 12 Jardim, Marcos 12 Joyce, Dominic David 12 LeBrun, Claude R. 12 Odaka, Yuji 12 Ross, Julius 12 Svanes, Eirik Eik 12 Zhang, Chuanjing 11 Anderson, Lara B. 11 Ashmore, Anthony 11 Baraglia, David 11 Boyer, Charles P. 11 Cheltsov, Ivan Anatol’evich 11 Dervan, Ruadhaí 11 Gasparim, Elizabeth 11 Keller, Julien 11 Legendre, Eveline 11 Leness, Thomas G. 11 Li, Jiayu 11 Moore, Gregory Winthrop 11 Ovrut, Burt A. 11 Ozsváth, Peter Steven 11 Park, B. Doug 11 Zhu, Xiaohua 11 Zuddas, Fabio 10 Apostolov, Vestislav 10 Berndtsson, Bo 10 Bruzzo, Ugo 10 Buchdahl, Nicholas P. 10 Chen, Bohui 10 Huang, Hongnian 10 Konno, Hokuto 10 Ma, Xiaonan 10 Ruberman, Daniel 10 Smith, Ivan 10 Stipsicz, András I. 10 Zedda, Michela 10 Zhang, Pan 10 Zhou, Bin 10 Zhuang, Ziquan 9 Bradlow, Steven B. 9 Datar, Ved V. 9 Garcia-Fernandez, Mario 9 Ivanova, Tatiana A. 9 Kotschick, Dieter 9 Kronheimer, Peter Benedict 9 Mabuchi, Toshiki 9 Qin, Zhenbo 9 Sergeev, Armen Glebovich 9 Simpson, Carlos Tschudi 9 Singer, Michael A. 9 Szabo, Richard J. 9 Tønnesen-Friedman, Christina Wiis 9 Tsukamoto, Masaki 9 Verbitsky, Misha 9 Walpuski, Thomas 9 Wang, Yuanqi 9 Wehrheim, Katrin 9 Weinkove, Ben 9 Woodward, Christopher T. 8 Collins, Tristan Clifford 8 de Borbon, Martin ...and 2,403 more Authors all top 5 Cited in 294 Serials 170 Advances in Mathematics 143 Communications in Mathematical Physics 142 Journal of Geometry and Physics 136 Journal of High Energy Physics 111 Mathematische Annalen 101 Geometry & Topology 88 The Journal of Geometric Analysis 86 Transactions of the American Mathematical Society 82 Inventiones Mathematicae 81 Mathematische Zeitschrift 71 Duke Mathematical Journal 62 Nuclear Physics. 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Second Series 8 Israel Journal of Mathematics 8 Fortschritte der Physik 8 Journal of Fixed Point Theory and Applications 8 Journal of Topology and Analysis 8 Communications in Mathematics and Statistics 8 Journal de l’École Polytechnique – Mathématiques 7 Reviews in Mathematical Physics 7 Mathematische Nachrichten 7 Nagoya Mathematical Journal 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Revista Matemática Iberoamericana 7 Forum Mathematicum 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Journal of Knot Theory and its Ramifications 7 Japanese Journal of Mathematics. 3rd Series 7 Forum of Mathematics, Sigma 6 Analysis Mathematica 6 Mathematical Notes 6 Theoretical and Mathematical Physics 6 Bulletin de la Société Mathématique de France 6 Glasgow Mathematical Journal 6 Indiana University Mathematics Journal 6 Journal of Differential Equations 6 Journal of Geometry 6 Proceedings of the Edinburgh Mathematical Society. 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Neuvième Série 6 Annales Henri Poincaré 6 Journal of the Institute of Mathematics of Jussieu 6 Analysis & PDE 6 Peking Mathematical Journal 5 Communications on Pure and Applied Mathematics ...and 194 more Serials all top 5 Cited in 59 Fields 1,582 Differential geometry (53-XX) 989 Algebraic geometry (14-XX) 948 Several complex variables and analytic spaces (32-XX) 785 Manifolds and cell complexes (57-XX) 648 Global analysis, analysis on manifolds (58-XX) 582 Quantum theory (81-XX) 244 Partial differential equations (35-XX) 144 Relativity and gravitational theory (83-XX) 98 Algebraic topology (55-XX) 85 Functions of a complex variable (30-XX) 62 Dynamical systems and ergodic theory (37-XX) 54 Mechanics of particles and systems (70-XX) 47 Group theory and generalizations (20-XX) 35 Associative rings and algebras (16-XX) 33 Number theory (11-XX) 31 Nonassociative rings and algebras (17-XX) 31 Topological groups, Lie groups (22-XX) 31 Functional analysis (46-XX) 30 Probability theory and stochastic processes (60-XX) 27 General and overarching topics; collections (00-XX) 22 Operator theory (47-XX) 21 History and biography (01-XX) 21 Category theory; homological algebra (18-XX) 20 General topology (54-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 \(K\)-theory (19-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Convex and discrete geometry (52-XX) 12 Commutative algebra (13-XX) 11 Geometry (51-XX) 11 Computer science (68-XX) 10 Numerical analysis (65-XX) 9 Potential theory (31-XX) 9 Ordinary differential equations (34-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Fluid mechanics (76-XX) 8 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Real functions (26-XX) 7 Optics, electromagnetic theory (78-XX) 6 Measure and integration (28-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 4 Statistics (62-XX) 4 Systems theory; control (93-XX) 3 Integral transforms, operational calculus (44-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-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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