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 1,001 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 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 4,780 times in 2,791 Documents Cited by ▼ Year ▼ The geometry of four-manifolds. Zbl 0820.57002Donaldson, S. K.; Kronheimer, P. B. 491 1990 Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018Donaldson, S. K. 270 1985 Scalar curvature and stability of toric varieties. Zbl 1074.53059Donaldson, S. K. 250 2002 An application of gauge theory to four dimensional topology. Zbl 0507.57010Donaldson, S. K. 214 1983 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007Donaldson, S. K. 193 1990 Scalar curvature and projective embeddings. I. Zbl 1052.32017Donaldson, S. K. 181 2001 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096Chen, Xiuxiong; Donaldson, Simon; Sun, Song 159 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 153 2015 Infinite determinants, stable bundles and curvature. Zbl 0627.53052Donaldson, S. K. 141 1987 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097Chen, Xiuxiong; Donaldson, Simon; Sun, Song 125 2015 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046Donaldson, S. K. 120 1987 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005Donaldson, S. 111 1987 Gauge theory in higher dimensions. Zbl 0926.58003Donaldson, S. K.; Thomas, R. P. 106 1998 Instantons and geometric invariant theory. Zbl 0581.14008Donaldson, S. K. 104 1984 Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025Donaldson, S. K. 97 1999 Kähler metrics with cone singularities along a divisor. Zbl 1326.32039Donaldson, S. K. 96 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. 90 1983 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032Donaldson, S. K. 83 1996 Floer homology groups in Yang-Mills theory. Zbl 0998.53057Donaldson, S. K. 82 2002 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 67 2014 Irrationality and the h-cobordism conjecture. Zbl 0631.57010Donaldson, S. K. 65 1987 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067Donaldson, Simon K. 64 2009 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 63 1989 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094Donaldson, S. K. 62 1999 Some numerical results in complex differential geometry. Zbl 1178.32018Donaldson, S. K. 54 2009 Interior estimates for solutions of Abreu equation. Zbl 1085.53063Donaldson, S. K. 53 2005 Scalar curvature and projective embeddings. II. Zbl 1159.32012Donaldson, S. K. 53 2005 Boundary value problems for Yang-Mills fields. Zbl 0747.53022Donaldson, S. K. 52 1992 Gauge theory in higher dimensions. II. Zbl 1256.53038Donaldson, Simon; Segal, Ed 52 2011 Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018Donaldson, S. K. 51 2006 Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066Donaldson, Simon K. 51 2008 Moment maps and diffeomorphisms. Zbl 0999.53053Donaldson, S. K. 47 1999 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030Donaldson, S. K. 46 2008 The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023Donaldson, S. K. 45 1996 Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001Atiyah, M. F. 44 1990 Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029Donaldson, S.; Friedman, R. 44 1989 The geometry of four-manifolds. Paperback ed. Zbl 0904.57001Donaldson, S. K.; Kronheimer, P. B. 39 1997 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074Donaldson, Simon; Sun, Song 39 2017 Singular Lefschetz pencils. Zbl 1077.53069Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil 33 2005 Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102Donaldson, S. K. 32 2002 Kähler-Einstein metrics and stability. Zbl 1331.32011Chen, Xiuxiong; Donaldson, Simon; Sun, Song 32 2014 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 Lefschetz fibrations in symplectic geometry. Zbl 0909.53018Donaldson, S. K. 19 1998 Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018Donaldson, S. K. 19 2012 Nahm’s equations and free-boundary problems. Zbl 1211.58015Donaldson, Simon K. 15 2010 Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012Donaldson, S. K. 15 1983 Riemann surfaces. Zbl 1235.30001Donaldson, Simon 14 2011 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 Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039Donaldson, S. K. 11 1993 Conjectures in Kähler geometry. Zbl 1161.32010Donaldson, Simon K. 11 2005 Floer homology and algebraic geometry. Zbl 0829.57011Donaldson, S. K. 10 1995 The approximation of instantons. Zbl 0778.57010Donaldson, S. K. 10 1993 Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044Donaldson, Simon 10 2017 Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027Donaldson, S. K. 10 2000 La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010Donaldson, Simon K. 10 1985 Moment maps in differential geometry. Zbl 1078.53084Donaldson, S. K. 8 2003 Geometry in Oxford c. 1980–85. Zbl 0957.01030Donaldson, Simon 7 1999 The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093Donaldson, S. K. 7 2017 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 A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007Donaldson, Simon 6 2009 Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517Braam, P. J.; Donaldson, S. K. 5 1995 b-stability and blow-ups. Zbl 1288.53070Donaldson, S. K. 5 2014 Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020Donaldson, Simon K. 5 2012 Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023Donaldson, S. K. 5 1985 Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318Bunch, R. S.; Donaldson, Simon K. 5 2008 Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020Chen, X.-X.; Donaldson, S. K. 4 2013 Some problems in differential geometry and topology. Zbl 1146.57301Donaldson, S. K. 4 2008 One hundred years of manifold topology. Zbl 0956.57004Donaldson, S. K. 3 1999 Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036Donaldson, S. K. 3 1993 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 Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044Donaldson, Simon; Fine, Joel 3 2006 Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005Donaldson, S. K. 3 1987 Complex curves and surgery. Zbl 0696.57007Donaldson, Simon K. 3 1988 Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002Donaldson, Simon 3 2021 What is …a pseudoholomorphic curve? Zbl 1090.32015Donaldson, Simon K. 2 2005 The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016Donaldson, S. K. 2 2001 Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052Donaldson, S. K. 2 2001 Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018Donaldson, S. K. 2 1989 Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018Donaldson, Simon K. 2 2018 Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016Donaldson, Simon 2 2016 Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056Donaldson, Simon 2 2018 Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057Chen, X.-X.; Donaldson, S. K. 2 2014 Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001Donaldson, Simon 2 2016 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 0722.00024 1 1990 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 Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001Donaldson, Simon 1 2019 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 Lefschetz pencils and mapping class groups. Zbl 1259.32003Donaldson, S. K. 1 2006 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 1 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. 2 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 39 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. 7 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 2 2016 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096Chen, Xiuxiong; Donaldson, Simon; Sun, Song 159 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 153 2015 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097Chen, Xiuxiong; Donaldson, Simon; Sun, Song 125 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 67 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. 96 2012 Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018Donaldson, S. K. 19 2012 Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020Donaldson, Simon K. 5 2012 Gauge theory in higher dimensions. II. Zbl 1256.53038Donaldson, Simon; Segal, Ed 52 2011 Riemann surfaces. Zbl 1235.30001Donaldson, Simon 14 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. 15 2010 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067Donaldson, Simon K. 64 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. 51 2008 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030Donaldson, S. K. 46 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. 51 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. 82 2005 Interior estimates for solutions of Abreu equation. Zbl 1085.53063Donaldson, S. K. 53 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 33 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. 250 2002 Floer homology groups in Yang-Mills theory. Zbl 0998.53057Donaldson, S. K. 82 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. 181 2001 The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016Donaldson, S. K. 2 2001 Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052Donaldson, 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. 97 1999 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094Donaldson, S. K. 62 1999 Moment maps and diffeomorphisms. Zbl 0999.53053Donaldson, S. K. 47 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. 106 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. 39 1997 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032Donaldson, S. K. 83 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. 5 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. 491 1990 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007Donaldson, S. K. 193 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 1 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. 141 1987 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046Donaldson, S. K. 120 1987 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005Donaldson, S. 111 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. 270 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. 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. 104 1984 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,167 Authors 48 Biswas, Indranil 26 Chen, Xiuxiong 26 García-Prada, Oscar 26 Tian, Gang 25 Zhang, Xi 23 Loi, Andrea 18 Li, Chi 17 Berman, Robert J. 17 Popov, Alexander D. 16 Arezzo, Claudio 16 Sheng, Li 16 Székelyhidi, Gábor 15 Darvas, Tamás 15 Donaldson, Simon Kirwan 15 El Naschie, Mohamed Saladin 15 Hurtubise, Jacques C. 15 Lechtenfeld, Olaf 15 Sun, Song 15 Szabo, Zoltan 15 Xu, Chenyang 14 Teleman, Andrei-Dumitru 13 Akhmedov, Anar 13 Feehan, Paul M. N. 13 Fujita, Kento 13 Li, An-Min 13 Lisca, Paolo 13 Muñoz Velázquez, Vicente 13 Oliveira, Goncalo 13 Song, Jian 12 Jardim, Marcos 12 LeBrun, Claude R. 12 Odaka, Yuji 12 Ross, Julius 12 Rubinstein, Yanir A. 12 Wentworth, Richard A. 11 He, Weiyong 11 Huang, Teng 11 Joyce, Dominic David 11 Leness, Thomas G. 11 Li, Jiayu 11 Liu, Yuchen 11 Ozsváth, Peter Steven 11 Zhang, Chuanjing 11 Zhu, Xiaohua 10 Boucksom, Sébastien 10 Bruzzo, Ugo 10 Cheltsov, Ivan Anatol’evich 10 Chen, Bohui 10 Gasparim, Elizabeth 10 Huang, Hongnian 10 Keller, Julien 10 Legendre, Eveline 10 Moore, Gregory Winthrop 10 Park, B. Doug 10 Smith, Ivan 10 Stipsicz, András I. 10 Zedda, Michela 10 Zhou, Bin 10 Zuddas, Fabio 9 Apostolov, Vestislav 9 Boyer, Charles P. 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 Ruberman, Daniel 9 Simpson, Carlos Tschudi 9 Singer, Michael A. 9 Svanes, Eirik Eik 9 Tipler, Carl 9 Tsukamoto, Masaki 9 Verbitsky, Misha 9 Wang, Yuanqi 9 Wehrheim, Katrin 9 Weinkove, Ben 9 Yau, Shing-Tung 9 Zhang, Pan 9 Zhuang, Ziquan 8 Baraglia, David 8 Baykur, Refik İnanç 8 Berndtsson, Bo 8 Biquard, Olivier 8 Datar, Ved V. 8 Futaki, Akito 8 Phong, Duong Hong 8 Pingali, Vamsi Pritham 8 Sergeev, Armen Glebovich 8 Seyyedali, Reza 8 Taubes, Clifford Henry 8 Viaclovsky, Jeff A. 8 Walpuski, Thomas 8 Woodward, Christopher T. 7 Aßelmeyer-Maluga, Torsten 7 Atiyah, Michael Francis 7 Blum, Harold 7 Collins, Tristan Clifford 7 Daskalopoulos, Georgios D. ...and 2,067 more Authors all top 5 Cited in 276 Serials 153 Advances in Mathematics 133 Communications in Mathematical Physics 133 Journal of Geometry and Physics 106 Mathematische Annalen 96 Geometry & Topology 84 Transactions of the American Mathematical Society 82 Journal of High Energy Physics 77 Inventiones Mathematicae 76 The Journal of Geometric Analysis 73 Mathematische Zeitschrift 66 Duke Mathematical Journal 57 Nuclear Physics. B 57 Topology and its Applications 50 Proceedings of the American Mathematical Society 49 International Journal of Mathematics 48 Annals of Global Analysis and Geometry 41 Calculus of Variations and Partial Differential Equations 38 Algebraic & Geometric Topology 37 Differential Geometry and its Applications 33 Journal für die Reine und Angewandte Mathematik 32 Annales de l’Institut Fourier 32 Bulletin of the American Mathematical Society. New Series 27 Geometriae Dedicata 27 Journal of Functional Analysis 27 Journal of the American Mathematical Society 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Letters in Mathematical Physics 26 Manuscripta Mathematica 25 Journal of Mathematical Physics 24 Annals of Mathematics. Second Series 22 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 17 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 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 13 Publications Mathématiques 13 Memoirs of the American Mathematical Society 13 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 13 Acta Mathematica Sinica. English Series 13 Communications in Contemporary Mathematics 13 Science China. Mathematics 12 Michigan Mathematical Journal 12 Osaka Journal of Mathematics 12 Nuclear Physics. B. Proceedings Supplements 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Acta Mathematica 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Journal of Differential Geometry 10 Proceedings of the Japan Academy. Series A 9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Journal of Algebra 9 Tôhoku Mathematical Journal. Second Series 8 Israel Journal of Mathematics 8 Journal of the London Mathematical Society. Second Series 8 Journal of Algebraic Geometry 7 Bulletin of the London Mathematical Society 7 Nagoya Mathematical Journal 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Forum Mathematicum 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Bulletin des Sciences Mathématiques 7 Journal of Fixed Point Theory and Applications 7 Communications in Mathematics and Statistics 7 European Journal of Mathematics 6 Analysis Mathematica 6 Mathematical Notes 6 Glasgow Mathematical Journal 6 Journal of Differential Equations 6 Pacific Journal of Mathematics 6 Journal of Topology 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 Reviews in Mathematical Physics 5 Fortschritte der Physik 5 Bulletin de la Société Mathématique de France 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 Journal of Knot Theory and its Ramifications 5 Annales Henri Poincaré 5 Central European Journal of Mathematics 5 Proceedings of the Steklov Institute of Mathematics 5 Frontiers of Mathematics in China 5 Analysis & PDE 5 Journal of Topology and Analysis 5 Kyoto Journal of Mathematics 5 Journal de l’École Polytechnique – Mathématiques ...and 176 more Serials all top 5 Cited in 57 Fields 1,400 Differential geometry (53-XX) 823 Algebraic geometry (14-XX) 803 Several complex variables and analytic spaces (32-XX) 703 Manifolds and cell complexes (57-XX) 591 Global analysis, analysis on manifolds (58-XX) 474 Quantum theory (81-XX) 206 Partial differential equations (35-XX) 110 Relativity and gravitational theory (83-XX) 86 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) 43 Group theory and generalizations (20-XX) 30 Associative rings and algebras (16-XX) 27 Number theory (11-XX) 27 Nonassociative rings and algebras (17-XX) 27 Functional analysis (46-XX) 24 Topological groups, Lie groups (22-XX) 24 Probability theory and stochastic processes (60-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 Calculus of variations and optimal control; optimization (49-XX) 16 \(K\)-theory (19-XX) 15 General and overarching topics; collections (00-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) 8 Combinatorics (05-XX) 8 Potential theory (31-XX) 8 Computer science (68-XX) 8 Fluid mechanics (76-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 6 Measure and integration (28-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 4 Systems theory; control (93-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-XX) 2 Mechanics of deformable solids (74-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 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 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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