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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: 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

Publications by Year

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 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
491
1990
Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018
Donaldson, S. K.
270
1985
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
250
2002
An application of gauge theory to four dimensional topology. Zbl 0507.57010
Donaldson, S. K.
214
1983
Polynomial invariants for smooth four-manifolds. Zbl 0715.57007
Donaldson, S. K.
193
1990
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
181
2001
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096
Chen, 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 1311.53059
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
153
2015
Infinite determinants, stable bundles and curvature. Zbl 0627.53052
Donaldson, S. K.
141
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
125
2015
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
120
1987
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
111
1987
Gauge theory in higher dimensions. Zbl 0926.58003
Donaldson, S. K.; Thomas, R. P.
106
1998
Instantons and geometric invariant theory. Zbl 0581.14008
Donaldson, S. K.
104
1984
Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025
Donaldson, S. K.
97
1999
Kähler metrics with cone singularities along a divisor. Zbl 1326.32039
Donaldson, S. K.
96
2012
Nahm’s equations and the classification of monopoles. Zbl 0603.58042
Donaldson, S. K.
94
1984
A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027
Donaldson, S. K.
90
1983
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
83
1996
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
82
2002
Lower bounds on the Calabi functional. Zbl 1149.53042
Donaldson, S. K.
82
2005
Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007
Donaldson, S. K.
76
1986
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037
Donaldson, Simon; Sun, Song
67
2014
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
65
1987
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
64
2009
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
63
1989
Lefschetz pencils on symplectic manifolds. Zbl 1040.53094
Donaldson, S. K.
62
1999
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
54
2009
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
53
2005
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
53
2005
Boundary value problems for Yang-Mills fields. Zbl 0747.53022
Donaldson, S. K.
52
1992
Gauge theory in higher dimensions. II. Zbl 1256.53038
Donaldson, Simon; Segal, Ed
52
2011
Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018
Donaldson, S. K.
51
2006
Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066
Donaldson, Simon K.
51
2008
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
47
1999
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
46
2008
The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023
Donaldson, S. K.
45
1996
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
The geometry of four-manifolds. Paperback ed. Zbl 0904.57001
Donaldson, S. K.; Kronheimer, P. B.
39
1997
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074
Donaldson, Simon; Sun, Song
39
2017
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
33
2005
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
32
2002
Kähler-Einstein metrics and stability. Zbl 1331.32011
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
32
2014
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
Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516
Braam, P. J.; Donaldson, S. K.
30
1995
Yang-Mills invariants of four-manifolds. Zbl 0836.57012
Donaldson, S. K.
26
1990
Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040
Donaldson, Simon; Smith, Ivan
25
2003
Lefschetz fibrations in symplectic geometry. Zbl 0909.53018
Donaldson, S. K.
19
1998
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
19
2012
Nahm’s equations and free-boundary problems. Zbl 1211.58015
Donaldson, Simon K.
15
2010
Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012
Donaldson, S. K.
15
1983
Riemann surfaces. Zbl 1235.30001
Donaldson, Simon
14
2011
Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069
Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M.
11
2004
Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031
Donaldson, S. K.
11
1999
Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039
Donaldson, S. K.
11
1993
Conjectures in Kähler geometry. Zbl 1161.32010
Donaldson, Simon K.
11
2005
Floer homology and algebraic geometry. Zbl 0829.57011
Donaldson, S. K.
10
1995
The approximation of instantons. Zbl 0778.57010
Donaldson, S. K.
10
1993
Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044
Donaldson, Simon
10
2017
Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027
Donaldson, S. K.
10
2000
La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010
Donaldson, Simon K.
10
1985
Moment maps in differential geometry. Zbl 1078.53084
Donaldson, S. K.
8
2003
Geometry in Oxford c. 1980–85. Zbl 0957.01030
Donaldson, Simon
7
1999
The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093
Donaldson, S. K.
7
2017
Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019
Chen, X.-X.; Donaldson, S. K.
7
2013
Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093
Donaldson, Simon
7
2015
A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007
Donaldson, Simon
6
2009
Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517
Braam, P. J.; Donaldson, S. K.
5
1995
b-stability and blow-ups. Zbl 1288.53070
Donaldson, S. K.
5
2014
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
Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020
Chen, X.-X.; Donaldson, S. K.
4
2013
Some problems in differential geometry and topology. Zbl 1146.57301
Donaldson, S. K.
4
2008
One hundred years of manifold topology. Zbl 0956.57004
Donaldson, S. K.
3
1999
Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036
Donaldson, S. K.
3
1993
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
Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044
Donaldson, Simon; Fine, Joel
3
2006
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
Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002
Donaldson, Simon
3
2021
What is …a pseudoholomorphic curve? Zbl 1090.32015
Donaldson, Simon K.
2
2005
The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016
Donaldson, S. K.
2
2001
Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052
Donaldson, S. K.
2
2001
Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018
Donaldson, S. K.
2
1989
Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018
Donaldson, Simon K.
2
2018
Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016
Donaldson, Simon
2
2016
Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056
Donaldson, Simon
2
2018
Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057
Chen, X.-X.; Donaldson, S. K.
2
2014
Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001
Donaldson, Simon
2
2016
Moment maps and diffeomorphisms. Zbl 1106.53037
Donaldson, S. K.
1
2000
Gauge theory and four-manifold topology. Zbl 0855.57002
Donaldson, S. K.
1
1994
On the work of Andreas Floer. Zbl 0777.01010
Donaldson, 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 1416.53024
Donaldson, Simon
1
2018
Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001
Donaldson, Simon
1
2019
Extremal Kähler metrics on toric surfaces (after S. Donaldson). (Métriques kählériennes extrémales sur les surfaces toriques (d’après S. Donaldson).) Zbl 1377.53090
Biquard, Olivier
1
2011
Lefschetz pencils and mapping class groups. Zbl 1259.32003
Donaldson, S. K.
1
2006
Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002
Donaldson, Simon
3
2021
Deformations of multivalued harmonic functions. Zbl 1492.53084
Donaldson, Simon
1
2021
Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001
Donaldson, Simon
1
2019
Memories of Sir Michael Atiyah. Zbl 1431.01042
Lusztig, George; Hitchin, Nigel; Witten, Edward; Donaldson, Simon; Kirwan, Frances; Kronheimer, Peter; Lawrence-Naimar, Ruth; Jeffrey, Lisa; Schroers, Bernd
1
2019
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
Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018
Donaldson, Simon K.
2
2018
Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056
Donaldson, 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 1416.53024
Donaldson, Simon
1
2018
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074
Donaldson, Simon; Sun, Song
39
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.
7
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
159
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
153
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
125
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
67
2014
Kähler-Einstein metrics and stability. Zbl 1331.32011
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
32
2014
b-stability and blow-ups. Zbl 1288.53070
Donaldson, S. K.
5
2014
Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057
Chen, X.-X.; Donaldson, S. K.
2
2014
Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019
Chen, X.-X.; Donaldson, S. K.
7
2013
Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020
Chen, X.-X.; Donaldson, S. K.
4
2013
Kähler metrics with cone singularities along a divisor. Zbl 1326.32039
Donaldson, S. K.
96
2012
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
19
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
52
2011
Riemann surfaces. Zbl 1235.30001
Donaldson, Simon
14
2011
Extremal Kähler metrics on toric surfaces (after S. Donaldson). (Métriques kählériennes extrémales sur les surfaces toriques (d’après S. Donaldson).) Zbl 1377.53090
Biquard, Olivier
1
2011
Nahm’s equations and free-boundary problems. Zbl 1211.58015
Donaldson, Simon K.
15
2010
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
64
2009
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
54
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.
51
2008
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
46
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.
4
2008
Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018
Donaldson, S. K.
51
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.
82
2005
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
53
2005
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
53
2005
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
33
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.
11
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
25
2003
Moment maps in differential geometry. Zbl 1078.53084
Donaldson, S. K.
8
2003
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
250
2002
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
82
2002
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
32
2002
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
181
2001
The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016
Donaldson, S. K.
2
2001
Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052
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.
97
1999
Lefschetz pencils on symplectic manifolds. Zbl 1040.53094
Donaldson, S. K.
62
1999
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
47
1999
Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031
Donaldson, S. K.
11
1999
Geometry in Oxford c. 1980–85. Zbl 0957.01030
Donaldson, Simon
7
1999
One hundred years of manifold topology. Zbl 0956.57004
Donaldson, S. K.
3
1999
Gauge theory in higher dimensions. Zbl 0926.58003
Donaldson, S. K.; Thomas, R. P.
106
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.
39
1997
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
83
1996
The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023
Donaldson, S. K.
45
1996
Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516
Braam, P. J.; Donaldson, S. K.
30
1995
Floer homology and algebraic geometry. Zbl 0829.57011
Donaldson, S. K.
10
1995
Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517
Braam, P. J.; Donaldson, S. K.
5
1995
Gauge theory and four-manifold topology. Zbl 0855.57002
Donaldson, S. K.
1
1994
Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039
Donaldson, S. K.
11
1993
The approximation of instantons. Zbl 0778.57010
Donaldson, S. K.
10
1993
Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036
Donaldson, S. K.
3
1993
On the work of Andreas Floer. Zbl 0777.01010
Donaldson, S. K.
1
1993
Boundary value problems for Yang-Mills fields. Zbl 0747.53022
Donaldson, S. K.
52
1992
The geometry of four-manifolds. Zbl 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
491
1990
Polynomial invariants for smooth four-manifolds. Zbl 0715.57007
Donaldson, S. K.
193
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.
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 0704.57008
Donaldson, S. K.; Sullivan, D. P.
63
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.
141
1987
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
120
1987
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
111
1987
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
65
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.
76
1986
Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018
Donaldson, S. K.
270
1985
La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010
Donaldson, Simon K.
10
1985
Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023
Donaldson, S. K.
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.
104
1984
...and 6 more Documents
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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
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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
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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

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