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Donaldson, Simon Kirwan

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Author ID: donaldson.simon-k Recent zbMATH articles by "Donaldson, Simon Kirwan"
Published as: Donaldson, S. K.; Donaldson, Simon; Donaldson, Simon K.; Donaldson, S.
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: 112 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
971 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 4,482 times in 2,630 Documents Cited by Year
The geometry of four-manifolds. Zbl 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
466
1990
Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018
Donaldson, S. K.
247
1985
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
229
2002
An application of gauge theory to four dimensional topology. Zbl 0507.57010
Donaldson, S. K.
202
1983
Polynomial invariants for smooth four-manifolds. Zbl 0715.57007
Donaldson, S. K.
177
1990
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
173
2001
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
136
2015
Infinite determinants, stable bundles and curvature. Zbl 0627.53052
Donaldson, S. K.
133
1987
Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \(2\pi\) and completion of the main proof. Zbl 1311.53059
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
131
2015
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
111
1987
Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
110
2015
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
109
1987
Instantons and geometric invariant theory. Zbl 0581.14008
Donaldson, S. K.
101
1984
Gauge theory in higher dimensions. Zbl 0926.58003
Donaldson, S. K.; Thomas, R. P.
97
1998
Kähler metrics with cone singularities along a divisor. Zbl 1326.32039
Donaldson, S. K.
91
2012
Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025
Donaldson, S. K.
89
1999
Nahm’s equations and the classification of monopoles. Zbl 0603.58042
Donaldson, S. K.
87
1984
A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027
Donaldson, S. K.
83
1983
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
79
1996
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
76
2002
Lower bounds on the Calabi functional. Zbl 1149.53042
Donaldson, S. K.
76
2005
Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007
Donaldson, S. K.
72
1986
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
62
2009
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
61
1987
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
61
1989
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037
Donaldson, Simon; Sun, Song
58
2014
Lefschetz pencils on symplectic manifolds. Zbl 1040.53094
Donaldson, S. K.
58
1999
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
51
2005
Boundary value problems for Yang-Mills fields. Zbl 0747.53022
Donaldson, S. K.
49
1992
Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018
Donaldson, S. K.
49
2006
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
49
2005
Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066
Donaldson, Simon K.
49
2008
Gauge theory in higher dimensions. II. Zbl 1256.53038
Donaldson, Simon; Segal, Ed
49
2011
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
48
2009
Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001
Atiyah, M. F.
44
1990
Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029
Donaldson, S.; Friedman, R.
44
1989
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
43
1999
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
42
2008
The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023
Donaldson, S. K.
40
1996
The geometry of four-manifolds. Paperback ed. Zbl 0904.57001
Donaldson, S. K.; Kronheimer, P. B.
38
1997
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074
Donaldson, Simon; Sun, Song
33
2017
Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020
Auroux, D.; Donaldson, S. K.; Katzarkov, L.
31
2003
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
31
2005
Kähler-Einstein metrics and stability. Zbl 1331.32011
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
28
2014
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
28
2002
Yang-Mills invariants of four-manifolds. Zbl 0836.57012
Donaldson, S. K.
25
1990
Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516
Braam, P. J.; Donaldson, S. K.
25
1995
Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040
Donaldson, Simon; Smith, Ivan
23
2003
Lefschetz fibrations in symplectic geometry. Zbl 0909.53018
Donaldson, S. K.
19
1998
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
18
2012
Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012
Donaldson, S. K.
15
1983
Nahm’s equations and free-boundary problems. Zbl 1211.58015
Donaldson, Simon K.
14
2010
Riemann surfaces. Zbl 1235.30001
Donaldson, Simon
12
2011
Conjectures in Kähler geometry. Zbl 1161.32010
Donaldson, Simon K.
11
2005
Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031
Donaldson, S. K.
11
1999
Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069
Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M.
10
2004
The approximation of instantons. Zbl 0778.57010
Donaldson, S. K.
10
1993
Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039
Donaldson, S. K.
10
1993
Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027
Donaldson, S. K.
10
2000
Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044
Donaldson, Simon
10
2017
La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010
Donaldson, Simon K.
9
1985
Floer homology and algebraic geometry. Zbl 0829.57011
Donaldson, S. K.
8
1995
Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093
Donaldson, Simon
7
2015
Moment maps in differential geometry. Zbl 1078.53084
Donaldson, S. K.
7
2003
Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019
Chen, X.-X.; Donaldson, S. K.
7
2013
A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007
Donaldson, Simon
6
2009
Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020
Donaldson, Simon K.
5
2012
Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023
Donaldson, S. K.
5
1985
Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318
Bunch, R. S.; Donaldson, Simon K.
5
2008
The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093
Donaldson, S. K.
5
2017
Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517
Braam, P. J.; Donaldson, S. K.
4
1995
Geometry in Oxford c. 1980–85. Zbl 0957.01030
Donaldson, Simon
4
1999
b-stability and blow-ups. Zbl 1288.53070
Donaldson, S. K.
4
2014
Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020
Chen, X.-X.; Donaldson, S. K.
4
2013
Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044
Donaldson, Simon; Fine, Joel
3
2006
Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036
Donaldson, S. K.
3
1993
Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005
Donaldson, S. K.
3
1987
Complex curves and surgery. Zbl 0696.57007
Donaldson, Simon K.
3
1988
One hundred years of manifold topology. Zbl 0956.57004
Donaldson, S. K.
3
1999
Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042
Donaldson, Simon
3
2018
Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002
Donaldson, Simon
3
2018
Some problems in differential geometry and topology. Zbl 1146.57301
Donaldson, S. K.
3
2008
Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002
Donaldson, Simon
3
2021
Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057
Chen, X.-X.; Donaldson, S. K.
2
2014
Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018
Donaldson, S. K.
2
1989
Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052
Donaldson, S. K.
2
2001
The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016
Donaldson, S. K.
2
2001
What is …a pseudoholomorphic curve? Zbl 1090.32015
Donaldson, Simon K.
2
2005
Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056
Donaldson, Simon
2
2018
Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016
Donaldson, Simon
2
2016
Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001
Donaldson, Simon
2
2016
Smooth 4-manifolds with definite intersection form. Zbl 0558.57005
Donaldson, S. K.
1
1984
4-manifolds with indefinite intersection form. Zbl 0562.53022
Donaldson, S. K.
1
1985
The Yang-Mills equations on Euclidean space. Zbl 0563.53058
Donaldson, S. K.
1
1984
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
Extremal Kähler metrics on toric surfaces (after S. Donaldson). (Métriques kählériennes extrémales sur les surfaces toriques (d’après S. Donaldson).) Zbl 1377.53090
Biquard, Olivier
1
2011
Lefschetz pencils and mapping class groups. Zbl 1259.32003
Donaldson, S. K.
1
2006
Gauge theory and four-manifold topology. Zbl 0855.57002
Donaldson, S. K.
1
1994
Moment maps and diffeomorphisms. Zbl 1106.53037
Donaldson, S. K.
1
2000
On the work of Andreas Floer. Zbl 0777.01010
Donaldson, S. K.
1
1993
Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002
Donaldson, Simon
3
2021
Deformations of multivalued harmonic functions. Zbl 07389919
Donaldson, Simon
1
2021
Memories of Sir Michael Atiyah. Zbl 1431.01042
Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd
1
2019
Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001
Donaldson, Simon
1
2019
Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042
Donaldson, Simon
3
2018
Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002
Donaldson, Simon
3
2018
Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056
Donaldson, Simon
2
2018
Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018
Donaldson, Simon K.
1
2018
An elliptic boundary value problem for \(G_{2}\)-structures. (Un problème de type elliptique avec données au bord pour des structures \(G_{2}\).) Zbl 1416.53024
Donaldson, Simon
1
2018
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074
Donaldson, Simon; Sun, Song
33
2017
Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044
Donaldson, Simon
10
2017
The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093
Donaldson, S. K.
5
2017
Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016
Donaldson, Simon
2
2016
Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001
Donaldson, Simon
2
2016
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
136
2015
Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \(2\pi\) and completion of the main proof. Zbl 1311.53059
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
131
2015
Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
110
2015
Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093
Donaldson, Simon
7
2015
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037
Donaldson, Simon; Sun, Song
58
2014
Kähler-Einstein metrics and stability. Zbl 1331.32011
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
28
2014
b-stability and blow-ups. Zbl 1288.53070
Donaldson, S. K.
4
2014
Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057
Chen, X.-X.; Donaldson, S. K.
2
2014
Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019
Chen, X.-X.; Donaldson, S. K.
7
2013
Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020
Chen, X.-X.; Donaldson, S. K.
4
2013
Kähler metrics with cone singularities along a divisor. Zbl 1326.32039
Donaldson, S. K.
91
2012
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
18
2012
Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020
Donaldson, Simon K.
5
2012
Gauge theory in higher dimensions. II. Zbl 1256.53038
Donaldson, Simon; Segal, Ed
49
2011
Riemann surfaces. Zbl 1235.30001
Donaldson, Simon
12
2011
Extremal Kähler metrics on toric surfaces (after S. Donaldson). (Métriques kählériennes extrémales sur les surfaces toriques (d’après S. Donaldson).) Zbl 1377.53090
Biquard, Olivier
1
2011
Nahm’s equations and free-boundary problems. Zbl 1211.58015
Donaldson, Simon K.
14
2010
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
62
2009
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
48
2009
A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007
Donaldson, Simon
6
2009
Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066
Donaldson, Simon K.
49
2008
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
42
2008
Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318
Bunch, R. S.; Donaldson, Simon K.
5
2008
Some problems in differential geometry and topology. Zbl 1146.57301
Donaldson, S. K.
3
2008
Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018
Donaldson, S. K.
49
2006
Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044
Donaldson, Simon; Fine, Joel
3
2006
Lefschetz pencils and mapping class groups. Zbl 1259.32003
Donaldson, S. K.
1
2006
Lower bounds on the Calabi functional. Zbl 1149.53042
Donaldson, S. K.
76
2005
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
51
2005
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
49
2005
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
31
2005
Conjectures in Kähler geometry. Zbl 1161.32010
Donaldson, Simon K.
11
2005
What is …a pseudoholomorphic curve? Zbl 1090.32015
Donaldson, Simon K.
2
2005
Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069
Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M.
10
2004
Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020
Auroux, D.; Donaldson, S. K.; Katzarkov, L.
31
2003
Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040
Donaldson, Simon; Smith, Ivan
23
2003
Moment maps in differential geometry. Zbl 1078.53084
Donaldson, S. K.
7
2003
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
229
2002
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
76
2002
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
28
2002
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
173
2001
Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052
Donaldson, S. K.
2
2001
The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016
Donaldson, S. K.
2
2001
Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027
Donaldson, S. K.
10
2000
Moment maps and diffeomorphisms. Zbl 1106.53037
Donaldson, S. K.
1
2000
Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025
Donaldson, S. K.
89
1999
Lefschetz pencils on symplectic manifolds. Zbl 1040.53094
Donaldson, S. K.
58
1999
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
43
1999
Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031
Donaldson, S. K.
11
1999
Geometry in Oxford c. 1980–85. Zbl 0957.01030
Donaldson, Simon
4
1999
One hundred years of manifold topology. Zbl 0956.57004
Donaldson, S. K.
3
1999
Gauge theory in higher dimensions. Zbl 0926.58003
Donaldson, S. K.; Thomas, R. P.
97
1998
Lefschetz fibrations in symplectic geometry. Zbl 0909.53018
Donaldson, S. K.
19
1998
The geometry of four-manifolds. Paperback ed. Zbl 0904.57001
Donaldson, S. K.; Kronheimer, P. B.
38
1997
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
79
1996
The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023
Donaldson, S. K.
40
1996
Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516
Braam, P. J.; Donaldson, S. K.
25
1995
Floer homology and algebraic geometry. Zbl 0829.57011
Donaldson, S. K.
8
1995
Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517
Braam, P. J.; Donaldson, S. K.
4
1995
Gauge theory and four-manifold topology. Zbl 0855.57002
Donaldson, S. K.
1
1994
The approximation of instantons. Zbl 0778.57010
Donaldson, S. K.
10
1993
Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039
Donaldson, S. K.
10
1993
Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036
Donaldson, S. K.
3
1993
On the work of Andreas Floer. Zbl 0777.01010
Donaldson, S. K.
1
1993
Boundary value problems for Yang-Mills fields. Zbl 0747.53022
Donaldson, S. K.
49
1992
The geometry of four-manifolds. Zbl 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
466
1990
Polynomial invariants for smooth four-manifolds. Zbl 0715.57007
Donaldson, S. K.
177
1990
Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001
Atiyah, M. F.
44
1990
Yang-Mills invariants of four-manifolds. Zbl 0836.57012
Donaldson, S. K.
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 0704.57008
Donaldson, S. K.; Sullivan, D. P.
61
1989
Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029
Donaldson, S.; Friedman, R.
44
1989
Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018
Donaldson, S. K.
2
1989
Complex curves and surgery. Zbl 0696.57007
Donaldson, Simon K.
3
1988
Infinite determinants, stable bundles and curvature. Zbl 0627.53052
Donaldson, S. K.
133
1987
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
111
1987
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
109
1987
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
61
1987
Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005
Donaldson, S. K.
3
1987
The geometry of 4-manifolds. Zbl 0673.57016
Donaldson, Simon K.
1
1987
Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007
Donaldson, S. K.
72
1986
Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018
Donaldson, S. K.
247
1985
La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010
Donaldson, Simon K.
9
1985
Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023
Donaldson, S. K.
5
1985
4-manifolds with indefinite intersection form. Zbl 0562.53022
Donaldson, S. K.
1
1985
Instantons and geometric invariant theory. Zbl 0581.14008
Donaldson, S. K.
101
1984
...and 6 more Documents
all top 5

Cited by 2,043 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
15 Donaldson, Simon Kirwan
15 El Naschie, Mohamed Saladin
15 Hurtubise, Jacques C.
15 Lechtenfeld, Olaf
15 Székelyhidi, Gábor
14 Sun, Song
14 Szabo, Zoltan
13 Akhmedov, Anar
13 Fujita, Kento
13 Li, An-Min
13 Lisca, Paolo
13 Song, Jian
13 Teleman, Andrei-Dumitru
13 Xu, Chenyang
12 Darvas, Tamás
12 Feehan, Paul M. N.
12 Jardim, Marcos
12 LeBrun, Claude R.
12 Muñoz Velázquez, Vicente
12 Oliveira, Goncalo
12 Rubinstein, Yanir A.
11 He, Weiyong
11 Leness, Thomas G.
11 Li, Jiayu
11 Ross, Julius
11 Wentworth, Richard A.
11 Zhang, Chuanjing
10 Boucksom, Sébastien
10 Bruzzo, Ugo
10 Cheltsov, Ivan Anatol’evich
10 Chen, Bohui
10 Huang, Hongnian
10 Huang, Teng
10 Keller, Julien
10 Legendre, Eveline
10 Moore, Gregory Winthrop
10 Odaka, Yuji
10 Ozsváth, Peter Steven
10 Park, B. Doug
10 Stipsicz, András I.
10 Zedda, Michela
10 Zhou, Bin
10 Zhu, Xiaohua
10 Zuddas, Fabio
9 Boyer, Charles P.
9 Bradlow, Steven B.
9 Buchdahl, Nicholas P.
9 Gasparim, Elizabeth
9 Joyce, Dominic David
9 Kotschick, Dieter
9 Kronheimer, Peter Benedict
9 Mabuchi, Toshiki
9 Qin, Zhenbo
9 Ruberman, Daniel
9 Simpson, Carlos Tschudi
9 Singer, Michael A.
9 Smith, Ivan
9 Tsukamoto, Masaki
9 Verbitsky, Misha
9 Wang, Yuanqi
9 Wehrheim, Katrin
9 Weinkove, Ben
8 Apostolov, Vestislav
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
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
7 Larfors, Magdalena
...and 1,943 more Authors
all top 5

Cited in 267 Serials

145 Advances in Mathematics
130 Communications in Mathematical Physics
129 Journal of Geometry and Physics
104 Mathematische Annalen
81 Geometry & Topology
80 Transactions of the American Mathematical Society
77 Inventiones Mathematicae
73 Journal of High Energy Physics
72 The Journal of Geometric Analysis
68 Mathematische Zeitschrift
64 Duke Mathematical Journal
57 Nuclear Physics. B
55 Topology and its Applications
49 Proceedings of the American Mathematical Society
48 International Journal of Mathematics
46 Annals of Global Analysis and Geometry
39 Calculus of Variations and Partial Differential Equations
37 Differential Geometry and its Applications
32 Bulletin of the American Mathematical Society. New Series
31 Journal für die Reine und Angewandte Mathematik
31 Algebraic & Geometric Topology
29 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
24 Manuscripta Mathematica
23 Letters in Mathematical Physics
23 Annals of Mathematics. Second Series
22 Geometric and Functional Analysis. GAFA
21 Compositio Mathematica
20 International Journal of Geometric Methods in Modern Physics
19 Chaos, Solitons and Fractals
19 Journal of the European Mathematical Society (JEMS)
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 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
11 Acta Mathematica Sinica. English Series
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
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 Journal of Algebraic Geometry
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
6 Communications in Mathematics and Statistics
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 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
4 Kodai Mathematical Journal
...and 167 more Serials
all top 5

Cited in 56 Fields

1,321 Differential geometry (53-XX)
760 Several complex variables and analytic spaces (32-XX)
756 Algebraic geometry (14-XX)
664 Manifolds and cell complexes (57-XX)
571 Global analysis, analysis on manifolds (58-XX)
448 Quantum theory (81-XX)
194 Partial differential equations (35-XX)
109 Relativity and gravitational theory (83-XX)
80 Algebraic topology (55-XX)
69 Functions of a complex variable (30-XX)
60 Dynamical systems and ergodic theory (37-XX)
43 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)
24 Nonassociative rings and algebras (17-XX)
23 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)
15 \(K\)-theory (19-XX)
14 General and overarching topics; collections (00-XX)
10 Geometry (51-XX)
9 Commutative algebra (13-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 Operations research, mathematical programming (90-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-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 Abstract harmonic analysis (43-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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