Edit Profile (opens in new tab) Donaldson, Simon Kirwan Compute Distance To: Compute 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: 113 Publications since 1983, including 6 Books 6 Contributions as Editor · 4 Further Contributions Reviewing Activity: 50 Reviews Biographic References: 5 Publications Co-Authors: 27 Co-Authors with 31 Joint Publications 1,012 Co-Co-Authors all top 5 Co-Authors 89 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 Lawson, Herbert Blaine jun. 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 Hitchin, Nigel James 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 Nigel Hitchin 1 Reventos, Agusti 1 Santaló, Luis Antonio 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 83 Differential geometry (53-XX) 46 Manifolds and cell complexes (57-XX) 39 Several complex variables and analytic spaces (32-XX) 39 Global analysis, analysis on manifolds (58-XX) 26 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 106 Publications have been cited 4,913 times in 2,872 Documents Cited by ▼ Year ▼ The geometry of four-manifolds. Zbl 0820.57002Donaldson, S. K.; Kronheimer, P. B. 503 1990 Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018Donaldson, S. K. 276 1985 Scalar curvature and stability of toric varieties. Zbl 1074.53059Donaldson, S. K. 256 2002 An application of gauge theory to four dimensional topology. Zbl 0507.57010Donaldson, S. K. 219 1983 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007Donaldson, S. K. 196 1990 Scalar curvature and projective embeddings. I. Zbl 1052.32017Donaldson, S. K. 184 2001 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096Chen, Xiuxiong; Donaldson, Simon; Sun, Song 162 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 155 2015 Infinite determinants, stable bundles and curvature. Zbl 0627.53052Donaldson, S. K. 142 1987 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046Donaldson, S. K. 128 1987 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097Chen, Xiuxiong; Donaldson, Simon; Sun, Song 128 2015 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005Donaldson, S. 114 1987 Gauge theory in higher dimensions. Zbl 0926.58003Donaldson, S. K.; Thomas, R. P. 110 1998 Instantons and geometric invariant theory. Zbl 0581.14008Donaldson, S. K. 105 1984 Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025Donaldson, S. K. 103 1999 Kähler metrics with cone singularities along a divisor. Zbl 1326.32039Donaldson, S. K. 99 2012 Nahm’s equations and the classification of monopoles. Zbl 0603.58042Donaldson, S. K. 94 1984 A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027Donaldson, S. K. 94 1983 Floer homology groups in Yang-Mills theory. Zbl 0998.53057Donaldson, S. K. 88 2002 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032Donaldson, S. K. 87 1996 Lower bounds on the Calabi functional. Zbl 1149.53042Donaldson, S. K. 82 2005 Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007Donaldson, S. K. 76 1986 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037Donaldson, Simon; Sun, Song 71 2014 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094Donaldson, S. K. 68 1999 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067Donaldson, Simon K. 66 2009 Irrationality and the h-cobordism conjecture. Zbl 0631.57010Donaldson, S. K. 65 1987 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 63 1989 Interior estimates for solutions of Abreu equation. Zbl 1085.53063Donaldson, S. K. 57 2005 Gauge theory in higher dimensions. II. Zbl 1256.53038Donaldson, Simon; Segal, Ed 56 2011 Some numerical results in complex differential geometry. Zbl 1178.32018Donaldson, S. K. 54 2009 Scalar curvature and projective embeddings. II. Zbl 1159.32012Donaldson, S. K. 53 2005 Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066Donaldson, Simon K. 52 2008 Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018Donaldson, S. K. 52 2006 Boundary value problems for Yang-Mills fields. Zbl 0747.53022Donaldson, S. K. 52 1992 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030Donaldson, S. K. 49 2008 Moment maps and diffeomorphisms. Zbl 0999.53053Donaldson, S. K. 49 1999 The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023Donaldson, S. K. 45 1996 Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029Donaldson, S.; Friedman, R. 44 1989 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001Atiyah, M. F. 44 1990 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074Donaldson, Simon; Sun, Song 41 2017 The geometry of four-manifolds. Paperback ed. Zbl 0904.57001Donaldson, S. K.; Kronheimer, P. B. 41 1997 Singular Lefschetz pencils. Zbl 1077.53069Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil 36 2005 Kähler-Einstein metrics and stability. Zbl 1331.32011Chen, Xiuxiong; Donaldson, Simon; Sun, Song 32 2014 Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102Donaldson, S. K. 32 2002 Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020Auroux, D.; Donaldson, S. K.; Katzarkov, L. 31 2003 Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516Braam, P. J.; Donaldson, S. K. 30 1995 Yang-Mills invariants of four-manifolds. Zbl 0836.57012Donaldson, S. K. 26 1990 Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040Donaldson, Simon; Smith, Ivan 25 2003 Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018Donaldson, S. K. 20 2012 Lefschetz fibrations in symplectic geometry. Zbl 0909.53018Donaldson, S. K. 19 1998 Riemann surfaces. Zbl 1235.30001Donaldson, Simon 17 2011 Nahm’s equations and free-boundary problems. Zbl 1211.58015Donaldson, Simon K. 16 2010 Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012Donaldson, S. K. 15 1983 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 Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M. 11 2004 Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031Donaldson, S. K. 11 1999 Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044Donaldson, Simon 10 2017 The approximation of instantons. Zbl 0778.57010Donaldson, S. K. 10 1993 Floer homology and algebraic geometry. Zbl 0829.57011Donaldson, S. K. 10 1995 La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010Donaldson, Simon K. 10 1985 Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027Donaldson, S. K. 10 2000 The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093Donaldson, S. K. 8 2017 Moment maps in differential geometry. Zbl 1078.53084Donaldson, S. K. 8 2003 Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019Chen, X.-X.; Donaldson, S. K. 7 2013 Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093Donaldson, Simon 7 2015 Geometry in Oxford c. 1980–85. Zbl 0957.01030Donaldson, Simon 7 1999 Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020Donaldson, Simon K. 6 2012 Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517Braam, P. J.; Donaldson, S. K. 6 1995 Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023Donaldson, S. K. 6 1985 A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007Donaldson, Simon 6 2009 Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318Bunch, R. S.; Donaldson, Simon K. 5 2008 b-stability and blow-ups. Zbl 1288.53070Donaldson, S. K. 5 2014 Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052Donaldson, S. K. 5 2001 Some problems in differential geometry and topology. Zbl 1146.57301Donaldson, S. K. 4 2008 Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020Chen, X.-X.; Donaldson, S. K. 4 2013 Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042Donaldson, Simon 3 2018 Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002Donaldson, Simon 3 2018 Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002Donaldson, Simon 3 2021 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 Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036Donaldson, S. K. 3 1993 Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044Donaldson, Simon; Fine, Joel 3 2006 Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018Donaldson, Simon K. 3 2018 One hundred years of manifold topology. Zbl 0956.57004Donaldson, S. K. 3 1999 Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056Donaldson, Simon 2 2018 Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001Donaldson, Simon 2 2019 Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018Donaldson, S. K. 2 1989 Lefschetz pencils and mapping class groups. Zbl 1259.32003Donaldson, S. K. 2 2006 What is …a pseudoholomorphic curve? Zbl 1090.32015Donaldson, Simon K. 2 2005 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 Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001Donaldson, Simon 2 2016 Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057Chen, X.-X.; Donaldson, S. K. 2 2014 Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016Donaldson, Simon 2 2016 The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016Donaldson, S. K. 2 2001 An elliptic boundary value problem for \(G_{2}\)-structures. (Un problème de type elliptique avec données au bord pour des structures \(G_{2}\).) Zbl 1416.53024Donaldson, Simon 1 2018 The geometry of 4-manifolds. Zbl 0673.57016Donaldson, Simon K. 1 1987 On the work of Andreas Floer. Zbl 0777.01010Donaldson, S. K. 1 1993 Gauge theory and four-manifold topology. Zbl 0855.57002Donaldson, S. K. 1 1994 Memories of Sir Michael Atiyah. Zbl 1431.01042Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd 1 2019 Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002Donaldson, Simon 3 2021 Deformations of multivalued harmonic functions. Zbl 1492.53084Donaldson, Simon 1 2021 Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001Donaldson, Simon 2 2019 Memories of Sir Michael Atiyah. Zbl 1431.01042Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd 1 2019 Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042Donaldson, Simon 3 2018 Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002Donaldson, Simon 3 2018 Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018Donaldson, Simon K. 3 2018 Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056Donaldson, Simon 2 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 1416.53024Donaldson, Simon 1 2018 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074Donaldson, Simon; Sun, Song 41 2017 Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044Donaldson, Simon 10 2017 The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093Donaldson, S. K. 8 2017 Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001Donaldson, Simon 2 2016 Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016Donaldson, Simon 2 2016 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096Chen, Xiuxiong; Donaldson, Simon; Sun, Song 162 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 155 2015 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097Chen, Xiuxiong; Donaldson, Simon; Sun, Song 128 2015 Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093Donaldson, Simon 7 2015 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037Donaldson, Simon; Sun, Song 71 2014 Kähler-Einstein metrics and stability. Zbl 1331.32011Chen, Xiuxiong; Donaldson, Simon; Sun, Song 32 2014 b-stability and blow-ups. Zbl 1288.53070Donaldson, S. K. 5 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. 7 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. 99 2012 Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018Donaldson, S. K. 20 2012 Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020Donaldson, Simon K. 6 2012 Gauge theory in higher dimensions. II. Zbl 1256.53038Donaldson, Simon; Segal, Ed 56 2011 Riemann surfaces. Zbl 1235.30001Donaldson, Simon 17 2011 Extremal Kähler metrics on toric surfaces (after S. Donaldson). (Métriques kählériennes extrémales sur les surfaces toriques (d’après S. Donaldson).) Zbl 1377.53090Biquard, Olivier 1 2011 Nahm’s equations and free-boundary problems. Zbl 1211.58015Donaldson, Simon K. 16 2010 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067Donaldson, Simon K. 66 2009 Some numerical results in complex differential geometry. Zbl 1178.32018Donaldson, S. K. 54 2009 A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007Donaldson, Simon 6 2009 Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066Donaldson, Simon K. 52 2008 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030Donaldson, S. K. 49 2008 Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318Bunch, R. S.; Donaldson, Simon K. 5 2008 Some problems in differential geometry and topology. Zbl 1146.57301Donaldson, S. K. 4 2008 Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018Donaldson, S. K. 52 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. 2 2006 Lower bounds on the Calabi functional. Zbl 1149.53042Donaldson, S. K. 82 2005 Interior estimates for solutions of Abreu equation. Zbl 1085.53063Donaldson, S. K. 57 2005 Scalar curvature and projective embeddings. II. Zbl 1159.32012Donaldson, S. K. 53 2005 Singular Lefschetz pencils. Zbl 1077.53069Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil 36 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. 11 2004 Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020Auroux, D.; Donaldson, S. K.; Katzarkov, L. 31 2003 Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040Donaldson, Simon; Smith, Ivan 25 2003 Moment maps in differential geometry. Zbl 1078.53084Donaldson, S. K. 8 2003 Scalar curvature and stability of toric varieties. Zbl 1074.53059Donaldson, S. K. 256 2002 Floer homology groups in Yang-Mills theory. Zbl 0998.53057Donaldson, S. K. 88 2002 Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102Donaldson, S. K. 32 2002 Scalar curvature and projective embeddings. I. Zbl 1052.32017Donaldson, S. K. 184 2001 Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052Donaldson, S. K. 5 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. 10 2000 Moment maps and diffeomorphisms. Zbl 1106.53037Donaldson, S. K. 1 2000 Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025Donaldson, S. K. 103 1999 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094Donaldson, S. K. 68 1999 Moment maps and diffeomorphisms. Zbl 0999.53053Donaldson, S. K. 49 1999 Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031Donaldson, S. K. 11 1999 Geometry in Oxford c. 1980–85. Zbl 0957.01030Donaldson, Simon 7 1999 One hundred years of manifold topology. Zbl 0956.57004Donaldson, S. K. 3 1999 Gauge theory in higher dimensions. Zbl 0926.58003Donaldson, S. K.; Thomas, R. P. 110 1998 Lefschetz fibrations in symplectic geometry. Zbl 0909.53018Donaldson, S. K. 19 1998 The geometry of four-manifolds. Paperback ed. Zbl 0904.57001Donaldson, S. K.; Kronheimer, P. B. 41 1997 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032Donaldson, S. K. 87 1996 The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023Donaldson, S. K. 45 1996 Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516Braam, P. J.; Donaldson, S. K. 30 1995 Floer homology and algebraic geometry. Zbl 0829.57011Donaldson, S. K. 10 1995 Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517Braam, P. J.; Donaldson, S. K. 6 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. 10 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. 52 1992 The geometry of four-manifolds. Zbl 0820.57002Donaldson, S. K.; Kronheimer, P. B. 503 1990 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007Donaldson, S. K. 196 1990 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001Atiyah, M. F. 44 1990 Yang-Mills invariants of four-manifolds. Zbl 0836.57012Donaldson, S. K. 26 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 0704.57008Donaldson, S. K.; Sullivan, D. P. 63 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. 2 1989 Complex curves and surgery. Zbl 0696.57007Donaldson, Simon K. 3 1988 Infinite determinants, stable bundles and curvature. Zbl 0627.53052Donaldson, S. K. 142 1987 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046Donaldson, S. K. 128 1987 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005Donaldson, S. 114 1987 Irrationality and the h-cobordism conjecture. Zbl 0631.57010Donaldson, S. K. 65 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. 76 1986 Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018Donaldson, S. K. 276 1985 La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010Donaldson, Simon K. 10 1985 Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023Donaldson, S. K. 6 1985 4-manifolds with indefinite intersection form. Zbl 0562.53022Donaldson, S. K. 1 1985 Instantons and geometric invariant theory. Zbl 0581.14008Donaldson, S. K. 105 1984 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,243 Authors 49 Biswas, Indranil 27 García-Prada, Oscar 26 Chen, Xiuxiong 26 Tian, Gang 25 Zhang, Xi 23 Loi, Andrea 18 Li, Chi 17 Berman, Robert J. 17 Popov, Alexander D. 17 Sheng, Li 16 Arezzo, Claudio 16 Hurtubise, Jacques C. 16 Székelyhidi, Gábor 15 Darvas, Tamás 15 Donaldson, Simon Kirwan 15 El Naschie, Mohamed Saladin 15 Lechtenfeld, Olaf 15 Song, Jian 15 Sun, Song 15 Szabo, Zoltan 15 Xu, Chenyang 14 Li, An-Min 14 Muñoz Velázquez, Vicente 14 Teleman, Andrei-Dumitru 13 Akhmedov, Anar 13 Feehan, Paul M. N. 13 Fujita, Kento 13 Lisca, Paolo 13 Liu, Yuchen 13 Oliveira, Goncalo 12 He, Weiyong 12 Huang, Teng 12 Jardim, Marcos 12 LeBrun, Claude R. 12 Odaka, Yuji 12 Ross, Julius 12 Rubinstein, Yanir A. 12 Wentworth, Richard A. 11 Biquard, Olivier 11 Gasparim, Elizabeth 11 Joyce, Dominic David 11 Leness, Thomas G. 11 Li, Jiayu 11 Ozsváth, Peter Steven 11 Zhang, Chuanjing 11 Zhu, Xiaohua 10 Baykur, Refik İnanç 10 Boucksom, Sébastien 10 Boyer, Charles P. 10 Bruzzo, Ugo 10 Cheltsov, Ivan Anatol’evich 10 Chen, Bohui 10 Huang, Hongnian 10 Keller, Julien 10 Legendre, Eveline 10 Moore, Gregory Winthrop 10 Park, B. Doug 10 Ruberman, Daniel 10 Smith, Ivan 10 Stipsicz, András I. 10 Svanes, Eirik Eik 10 Zedda, Michela 10 Zhou, Bin 10 Zuddas, Fabio 9 Apostolov, Vestislav 9 Baraglia, David 9 Berndtsson, Bo 9 Bradlow, Steven B. 9 Buchdahl, Nicholas P. 9 Dervan, Ruadhaí 9 Kotschick, Dieter 9 Kronheimer, Peter Benedict 9 Mabuchi, Toshiki 9 Qin, Zhenbo 9 Simpson, Carlos Tschudi 9 Singer, Michael A. 9 Tipler, Carl 9 Tsukamoto, Masaki 9 Verbitsky, Misha 9 Wang, Yuanqi 9 Wehrheim, Katrin 9 Weinkove, Ben 9 Woodward, Christopher T. 9 Yau, Shing-Tung 9 Zhang, Pan 9 Zhuang, Ziquan 8 Datar, Ved V. 8 Futaki, Akito 8 Hayano, Kenta 8 Leung, Naichung Conan 8 Phong, Duong Hong 8 Pingali, Vamsi Pritham 8 Sergeev, Armen Glebovich 8 Seyyedali, Reza 8 Taubes, Clifford Henry 8 Tønnesen-Friedman, Christina Wiis 8 Viaclovsky, Jeff A. 8 Walpuski, Thomas 7 Aßelmeyer-Maluga, Torsten 7 Atiyah, Michael Francis ...and 2,143 more Authors all top 5 Cited in 278 Serials 164 Advances in Mathematics 135 Communications in Mathematical Physics 133 Journal of Geometry and Physics 106 Mathematische Annalen 98 Geometry & Topology 88 Journal of High Energy Physics 85 Transactions of the American Mathematical Society 80 Mathematische Zeitschrift 79 Inventiones Mathematicae 77 The Journal of Geometric Analysis 66 Duke Mathematical Journal 60 Topology and its Applications 57 Nuclear Physics. B 50 Proceedings of the American Mathematical Society 49 Annals of Global Analysis and Geometry 49 International Journal of Mathematics 42 Calculus of Variations and Partial Differential Equations 42 Algebraic & Geometric Topology 38 Differential Geometry and its Applications 36 Journal für die Reine und Angewandte Mathematik 32 Annales de l’Institut Fourier 32 Bulletin of the American Mathematical Society. New Series 28 Journal of Functional Analysis 27 Journal of Mathematical Physics 27 Letters in Mathematical Physics 27 Geometriae Dedicata 27 Journal of the American Mathematical Society 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Manuscripta Mathematica 25 Annals of Mathematics. Second Series 23 Compositio Mathematica 22 Geometric and Functional Analysis. GAFA 20 Journal of the European Mathematical Society (JEMS) 20 International Journal of Geometric Methods in Modern Physics 19 Chaos, Solitons and Fractals 18 Journal of Mathematical Analysis and Applications 18 Journal of the Mathematical Society of Japan 17 Complex Manifolds 15 International Journal of Modern Physics A 15 Selecta Mathematica. New Series 14 Physics Letters. B 14 Communications in Contemporary Mathematics 14 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 13 Publications Mathématiques 13 Journal of Differential Geometry 13 Memoirs of the American Mathematical Society 13 Michigan Mathematical Journal 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Acta Mathematica Sinica. English Series 13 Science China. Mathematics 12 Osaka Journal of Mathematics 12 Nuclear Physics. B. 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Mathematical Sciences 7 Journal of Fixed Point Theory and Applications 7 Communications in Mathematics and Statistics 7 European Journal of Mathematics 7 Journal de l’École Polytechnique – Mathématiques 6 Analysis Mathematica 6 Mathematical Notes 6 Reviews in Mathematical Physics 6 Bulletin de la Société Mathématique de France 6 Glasgow Mathematical Journal 6 Journal of Differential Equations 6 Journal of Knot Theory and its Ramifications 6 Annales Henri Poincaré 6 Oberwolfach Reports 6 Journal of Topology 6 Journal of Topology and Analysis 6 Japanese Journal of Mathematics. 3rd Series 5 International Journal of Theoretical Physics 5 Rocky Mountain Journal of Mathematics 5 Theoretical and Mathematical Physics 5 Fortschritte der Physik 5 Journal of Geometry 5 Mathematische Nachrichten 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Proceedings of the London Mathematical Society. Third Series 5 Revista Matemática Iberoamericana 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Central European Journal of Mathematics 5 Journal of the Institute of Mathematics of Jussieu 5 Proceedings of the Steklov Institute of Mathematics 5 Frontiers of Mathematics in China ...and 178 more Serials all top 5 Cited in 58 Fields 1,437 Differential geometry (53-XX) 849 Algebraic geometry (14-XX) 829 Several complex variables and analytic spaces (32-XX) 723 Manifolds and cell complexes (57-XX) 601 Global analysis, analysis on manifolds (58-XX) 490 Quantum theory (81-XX) 216 Partial differential equations (35-XX) 111 Relativity and gravitational theory (83-XX) 88 Algebraic topology (55-XX) 74 Functions of a complex variable (30-XX) 60 Dynamical systems and ergodic theory (37-XX) 46 Mechanics of particles and systems (70-XX) 44 Group theory and generalizations (20-XX) 32 Associative rings and algebras (16-XX) 28 Number theory (11-XX) 27 Nonassociative rings and algebras (17-XX) 27 Functional analysis (46-XX) 26 Probability theory and stochastic processes (60-XX) 25 Topological groups, Lie groups (22-XX) 19 Category theory; homological algebra (18-XX) 19 General topology (54-XX) 18 History and biography (01-XX) 18 Operator theory (47-XX) 17 General and overarching topics; collections (00-XX) 17 \(K\)-theory (19-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 10 Commutative algebra (13-XX) 10 Geometry (51-XX) 10 Convex and discrete geometry (52-XX) 10 Numerical analysis (65-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Computer science (68-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Combinatorics (05-XX) 8 Potential theory (31-XX) 8 Fluid mechanics (76-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 6 Measure and integration (28-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 4 Optics, electromagnetic theory (78-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 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-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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