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 · 3 Further Contributions Reviewing Activity: 50 Reviews Biographic References: 5 Publications Co-Authors: 27 Co-Authors with 30 Joint Publications 976 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 Yau, Shing-Tung 1 Atiyah, Michael Francis 1 Berger, Marcel 1 Biquard, Olivier 1 Birman, Graciela Silvia 1 Bourguignon, Jean-Pierre 1 Bunch, R. S. 1 Calabi, Eugenio 1 Cao, Huai-Dong 1 Eliashberg, Yakov Matveevich 1 Fine, Joel 1 Friedman, Robert M. 1 Gromov, Mikhael Leonidovich 1 Gual, Ximo 1 Hitchin, Nigel James 1 Jeffrey, Lisa Claire 1 Kirwan, Frances Clare 1 Lawrence-Naimar, Ruth 1 Lawson, Herbert Blaine jun. 1 Lusztig, George 1 Naveira, Antonio M. 1 Reventos, Agusti 1 Santaló, Luis Antonio 1 Schroers, Bernd J. 1 Segal, Ed 1 Smith, Ivan 1 Sullivan, Dennis Parnell 1 Thomas, Richard Paul 1 Witten, Edward 1 Yotov, Mirroslav all top 5 Serials 14 Journal of Differential Geometry 4 Bulletin of the American Mathematical Society. New Series 4 Notices of the American Mathematical Society 3 Topology 3 Journal of the American Mathematical Society 2 Communications in Mathematical Physics 2 Nonlinearity 2 Acta Mathematica 2 Mathematische Annalen 2 Proceedings of the London Mathematical Society. Third Series 2 Geometric and Functional Analysis. GAFA 2 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) 38 Global analysis, analysis on manifolds (58-XX) 26 Algebraic geometry (14-XX) 15 Quantum theory (81-XX) 13 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 4,576 times in 2,668 Documents Cited by ▼ Year ▼ The geometry of four-manifolds. Zbl 0820.57002Donaldson, S. K.; Kronheimer, P. B. 475 1990 Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018Donaldson, S. K. 255 1985 Scalar curvature and stability of toric varieties. Zbl 1074.53059Donaldson, S. K. 233 2002 An application of gauge theory to four dimensional topology. Zbl 0507.57010Donaldson, S. K. 205 1983 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007Donaldson, S. K. 178 1990 Scalar curvature and projective embeddings. I. Zbl 1052.32017Donaldson, S. K. 177 2001 Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096Chen, Xiuxiong; Donaldson, Simon; Sun, Song 139 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 136 2015 Infinite determinants, stable bundles and curvature. Zbl 0627.53052Donaldson, S. K. 135 1987 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097Chen, Xiuxiong; Donaldson, Simon; Sun, Song 113 2015 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046Donaldson, S. K. 111 1987 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005Donaldson, S. 110 1987 Instantons and geometric invariant theory. Zbl 0581.14008Donaldson, S. K. 102 1984 Gauge theory in higher dimensions. Zbl 0926.58003Donaldson, S. K.; Thomas, R. P. 98 1998 Kähler metrics with cone singularities along a divisor. Zbl 1326.32039Donaldson, S. K. 93 2012 Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025Donaldson, S. K. 92 1999 Nahm’s equations and the classification of monopoles. Zbl 0603.58042Donaldson, S. K. 88 1984 A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027Donaldson, S. K. 85 1983 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032Donaldson, S. K. 81 1996 Floer homology groups in Yang-Mills theory. Zbl 0998.53057Donaldson, S. K. 78 2002 Lower bounds on the Calabi functional. Zbl 1149.53042Donaldson, S. K. 77 2005 Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007Donaldson, S. K. 72 1986 Irrationality and the h-cobordism conjecture. Zbl 0631.57010Donaldson, S. K. 62 1987 Quasiconformal 4-manifolds. Zbl 0704.57008Donaldson, S. K.; Sullivan, D. P. 62 1989 Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067Donaldson, Simon K. 62 2009 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037Donaldson, Simon; Sun, Song 59 2014 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094Donaldson, S. K. 59 1999 Interior estimates for solutions of Abreu equation. Zbl 1085.53063Donaldson, S. K. 52 2005 Boundary value problems for Yang-Mills fields. Zbl 0747.53022Donaldson, S. K. 52 1992 Scalar curvature and projective embeddings. II. Zbl 1159.32012Donaldson, S. K. 51 2005 Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066Donaldson, Simon K. 50 2008 Some numerical results in complex differential geometry. Zbl 1178.32018Donaldson, S. K. 50 2009 Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018Donaldson, S. K. 50 2006 Gauge theory in higher dimensions. II. Zbl 1256.53038Donaldson, Simon; Segal, Ed 49 2011 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 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030Donaldson, S. K. 43 2008 Moment maps and diffeomorphisms. Zbl 0999.53053Donaldson, S. K. 43 1999 The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023Donaldson, S. K. 41 1996 The geometry of four-manifolds. Paperback ed. Zbl 0904.57001Donaldson, S. K.; Kronheimer, P. B. 38 1997 Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074Donaldson, Simon; Sun, Song 34 2017 Singular Lefschetz pencils. Zbl 1077.53069Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil 31 2005 Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102Donaldson, S. K. 31 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 Kähler-Einstein metrics and stability. Zbl 1331.32011Chen, Xiuxiong; Donaldson, Simon; Sun, Song 30 2014 Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516Braam, P. J.; Donaldson, S. K. 27 1995 Yang-Mills invariants of four-manifolds. Zbl 0836.57012Donaldson, S. K. 25 1990 Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040Donaldson, Simon; Smith, Ivan 24 2003 Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018Donaldson, S. K. 19 2012 Lefschetz fibrations in symplectic geometry. Zbl 0909.53018Donaldson, S. K. 19 1998 Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012Donaldson, S. K. 15 1983 Nahm’s equations and free-boundary problems. Zbl 1211.58015Donaldson, Simon K. 15 2010 Riemann surfaces. Zbl 1235.30001Donaldson, Simon 12 2011 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 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 approximation of instantons. Zbl 0778.57010Donaldson, S. K. 10 1993 Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M. 10 2004 Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044Donaldson, Simon 10 2017 Floer homology and algebraic geometry. Zbl 0829.57011Donaldson, S. K. 9 1995 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 A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007Donaldson, Simon 6 2009 The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093Donaldson, S. K. 6 2017 b-stability and blow-ups. Zbl 1288.53070Donaldson, S. K. 5 2014 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 Geometry in Oxford c. 1980–85. Zbl 0957.01030Donaldson, Simon 5 1999 Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517Braam, P. J.; Donaldson, S. K. 5 1995 Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020Donaldson, Simon K. 5 2012 Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020Chen, X.-X.; Donaldson, S. K. 4 2013 Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005Donaldson, S. K. 3 1987 Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042Donaldson, Simon 3 2018 Some problems in differential geometry and topology. Zbl 1146.57301Donaldson, S. K. 3 2008 Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002Donaldson, Simon 3 2018 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 Complex curves and surgery. Zbl 0696.57007Donaldson, Simon K. 3 1988 Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044Donaldson, Simon; Fine, Joel 3 2006 Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002Donaldson, Simon 3 2021 Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016Donaldson, Simon 2 2016 Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018Donaldson, Simon K. 2 2018 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 Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018Donaldson, S. K. 2 1989 Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001Donaldson, Simon 2 2016 Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052Donaldson, S. K. 2 2001 Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057Chen, X.-X.; Donaldson, S. K. 2 2014 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 Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001Donaldson, Simon 1 2019 The geometry of 4-manifolds. Zbl 0673.57016Donaldson, Simon K. 1 1987 Gauge theory and four-manifold topology. Zbl 0855.57002Donaldson, S. K. 1 1994 Smooth 4-manifolds with definite intersection form. Zbl 0558.57005Donaldson, S. K. 1 1984 4-manifolds with indefinite intersection form. Zbl 0562.53022Donaldson, S. K. 1 1985 The Yang-Mills equations on Euclidean space. Zbl 0563.53058Donaldson, S. K. 1 1984 Deformations of multivalued harmonic functions. Zbl 07389919Donaldson, Simon 1 2021 Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002Donaldson, Simon 3 2021 Deformations of multivalued harmonic functions. Zbl 07389919Donaldson, 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 34 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. 6 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 139 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 136 2015 Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097Chen, Xiuxiong; Donaldson, Simon; Sun, Song 113 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 59 2014 Kähler-Einstein metrics and stability. Zbl 1331.32011Chen, Xiuxiong; Donaldson, Simon; Sun, Song 30 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. 93 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 49 2011 Riemann surfaces. Zbl 1235.30001Donaldson, Simon 12 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. 62 2009 Some numerical results in complex differential geometry. Zbl 1178.32018Donaldson, S. K. 50 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. 50 2008 Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030Donaldson, S. K. 43 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. 3 2008 Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018Donaldson, S. K. 50 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. 77 2005 Interior estimates for solutions of Abreu equation. Zbl 1085.53063Donaldson, S. K. 52 2005 Scalar curvature and projective embeddings. II. Zbl 1159.32012Donaldson, S. K. 51 2005 Singular Lefschetz pencils. Zbl 1077.53069Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil 31 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. 10 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 24 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. 233 2002 Floer homology groups in Yang-Mills theory. Zbl 0998.53057Donaldson, S. K. 78 2002 Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102Donaldson, S. K. 31 2002 Scalar curvature and projective embeddings. I. Zbl 1052.32017Donaldson, S. K. 177 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. 92 1999 Lefschetz pencils on symplectic manifolds. Zbl 1040.53094Donaldson, S. K. 59 1999 Moment maps and diffeomorphisms. Zbl 0999.53053Donaldson, S. K. 43 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 5 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. 98 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. 38 1997 Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032Donaldson, S. K. 81 1996 The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023Donaldson, S. K. 41 1996 Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516Braam, P. J.; Donaldson, S. K. 27 1995 Floer homology and algebraic geometry. Zbl 0829.57011Donaldson, S. K. 9 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. 475 1990 Polynomial invariants for smooth four-manifolds. Zbl 0715.57007Donaldson, S. K. 178 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. 25 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. 62 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. 135 1987 Twisted harmonic maps and the self-duality equations. Zbl 0634.53046Donaldson, S. K. 111 1987 The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005Donaldson, S. 110 1987 Irrationality and the h-cobordism conjecture. Zbl 0631.57010Donaldson, S. K. 62 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. 72 1986 Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018Donaldson, S. K. 255 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. 102 1984 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,057 Authors 47 Biswas, Indranil 26 Chen, Xiuxiong 26 García-Prada, Oscar 25 Tian, Gang 24 Zhang, Xi 23 Loi, Andrea 17 Popov, Alexander D. 16 Arezzo, Claudio 16 Berman, Robert J. 16 Li, Chi 16 Sheng, Li 16 Székelyhidi, Gábor 15 Donaldson, Simon Kirwan 15 El Naschie, Mohamed Saladin 15 Hurtubise, Jacques C. 15 Lechtenfeld, Olaf 15 Sun, Song 15 Szabo, Zoltan 14 Teleman, Andrei-Dumitru 13 Akhmedov, Anar 13 Darvas, Tamás 13 Fujita, Kento 13 Li, An-Min 13 Lisca, Paolo 13 Song, Jian 13 Xu, Chenyang 12 Feehan, Paul M. N. 12 Jardim, Marcos 12 LeBrun, Claude R. 12 Muñoz Velázquez, Vicente 12 Oliveira, Goncalo 12 Ross, Julius 12 Rubinstein, Yanir A. 11 He, Weiyong 11 Leness, Thomas G. 11 Li, Jiayu 11 Ozsváth, Peter Steven 11 Wentworth, Richard A. 11 Zhang, Chuanjing 10 Boucksom, Sébastien 10 Bruzzo, Ugo 10 Cheltsov, Ivan Anatol’evich 10 Chen, Bohui 10 Gasparim, Elizabeth 10 Huang, Hongnian 10 Huang, Teng 10 Joyce, Dominic David 10 Keller, Julien 10 Legendre, Eveline 10 Moore, Gregory Winthrop 10 Odaka, Yuji 10 Park, B. Doug 10 Smith, Ivan 10 Stipsicz, András I. 10 Zedda, Michela 10 Zhou, Bin 10 Zhu, Xiaohua 10 Zuddas, Fabio 9 Apostolov, Vestislav 9 Boyer, Charles P. 9 Bradlow, Steven B. 9 Buchdahl, Nicholas P. 9 Kotschick, Dieter 9 Kronheimer, Peter Benedict 9 Mabuchi, Toshiki 9 Qin, Zhenbo 9 Ruberman, Daniel 9 Simpson, Carlos Tschudi 9 Singer, Michael A. 9 Tsukamoto, Masaki 9 Verbitsky, Misha 9 Wang, Yuanqi 9 Wehrheim, Katrin 9 Weinkove, Ben 8 Baykur, Refik İnanç 8 Biquard, Olivier 8 Datar, Ved V. 8 Dervan, Ruadhaí 8 Futaki, Akito 8 Phong, Duong Hong 8 Pingali, Vamsi Pritham 8 Sergeev, Armen Glebovich 8 Seyyedali, Reza 8 Svanes, Eirik Eik 8 Tipler, Carl 8 Viaclovsky, Jeff A. 8 Walpuski, Thomas 8 Yau, Shing-Tung 8 Zhang, Pan 7 Aßelmeyer-Maluga, Torsten 7 Atiyah, Michael Francis 7 Berndtsson, Bo 7 Daskalopoulos, Georgios D. 7 Fucito, Francesco 7 Garcia-Fernandez, Mario 7 Hambleton, Ian 7 Hayano, Kenta 7 Itoh, Mitsuhiro 7 Ivanova, Tatiana A. 7 Iwaniec, Tadeusz ...and 1,957 more Authors all top 5 Cited in 271 Serials 145 Advances in Mathematics 131 Communications in Mathematical Physics 130 Journal of Geometry and Physics 104 Mathematische Annalen 83 Transactions of the American Mathematical Society 81 Geometry & Topology 77 Inventiones Mathematicae 73 The Journal of Geometric Analysis 73 Journal of High Energy Physics 71 Mathematische Zeitschrift 65 Duke Mathematical Journal 57 Nuclear Physics. B 56 Topology and its Applications 49 Proceedings of the American Mathematical Society 48 International Journal of Mathematics 47 Annals of Global Analysis and Geometry 39 Calculus of Variations and Partial Differential Equations 37 Differential Geometry and its Applications 32 Journal für die Reine und Angewandte Mathematik 32 Bulletin of the American Mathematical Society. New Series 31 Algebraic & Geometric Topology 30 Annales de l’Institut Fourier 27 Geometriae Dedicata 27 Journal of the American Mathematical Society 27 Comptes Rendus. Mathématique. Académie des Sciences, Paris 26 Journal of Functional Analysis 25 Journal of Mathematical Physics 25 Letters in Mathematical Physics 25 Manuscripta Mathematica 23 Annals of Mathematics. Second Series 22 Geometric and Functional Analysis. GAFA 21 Compositio Mathematica 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 14 Physics Letters. B 14 Selecta Mathematica. New Series 13 Communications in Contemporary Mathematics 13 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 12 Publications Mathématiques 12 Michigan Mathematical Journal 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 12 Nuclear Physics. B. Proceedings Supplements 12 Acta Mathematica Sinica. English Series 12 Science China. Mathematics 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Acta Mathematica 11 Memoirs of the American Mathematical Society 11 Osaka Journal of Mathematics 11 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Proceedings of the Japan Academy. Series A 9 Journal of Algebra 9 Tohoku Mathematical Journal. Second Series 8 Israel Journal of Mathematics 8 Journal of the London Mathematical Society. Second Series 8 Journal of Algebraic Geometry 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Bulletin of the London Mathematical Society 7 Journal of Differential Geometry 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Forum Mathematicum 7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Communications in Mathematics and Statistics 6 Mathematical Notes 6 Glasgow Mathematical Journal 6 Journal of Differential Equations 6 Nagoya Mathematical Journal 6 Journal of Fixed Point Theory and Applications 6 Journal of Topology 6 Japanese Journal of Mathematics. 3rd Series 5 International Journal of Theoretical Physics 5 Theoretical and Mathematical Physics 5 Reviews in 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 of Knot Theory and its Ramifications 5 Bulletin des Sciences Mathématiques 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 Kyoto Journal of Mathematics 5 European Journal of Mathematics 5 Journal de l’École Polytechnique – Mathématiques 5 Bollettino dell’Unione Matematica Italiana 4 Modern Physics Letters A 4 Rocky Mountain Journal of Mathematics 4 Archiv der Mathematik 4 Bulletin de la Société Mathématique de France 4 Illinois Journal of Mathematics 4 Journal of Pure and Applied Algebra ...and 171 more Serials all top 5 Cited in 57 Fields 1,347 Differential geometry (53-XX) 773 Algebraic geometry (14-XX) 769 Several complex variables and analytic spaces (32-XX) 671 Manifolds and cell complexes (57-XX) 577 Global analysis, analysis on manifolds (58-XX) 452 Quantum theory (81-XX) 196 Partial differential equations (35-XX) 110 Relativity and gravitational theory (83-XX) 81 Algebraic topology (55-XX) 71 Functions of a complex variable (30-XX) 60 Dynamical systems and ergodic theory (37-XX) 44 Mechanics of particles and systems (70-XX) 40 Group theory and generalizations (20-XX) 28 Associative rings and algebras (16-XX) 27 Number theory (11-XX) 27 Functional analysis (46-XX) 25 Nonassociative rings and algebras (17-XX) 24 Topological groups, Lie groups (22-XX) 22 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) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Convex and discrete geometry (52-XX) 9 Numerical analysis (65-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 Ordinary differential equations (34-XX) 6 Measure and integration (28-XX) 5 Real functions (26-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 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. Updates and corrections should be made in Wikidata.