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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: http://wwwf.imperial.ac.uk/~skdona/
External Links: MGP · Wikidata · GND · MacTutor
Awards: Fields Medal (1986) · Shaw Prize (2009) · Breakthrough Prize in Mathematics (2014) · Wolf Prize (2020)
Documents Indexed: 113 Publications since 1983, including 9 Books
Reviewing Activity: 50 Reviews
Biographic References: 4 Publications

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 4,081 times in 2,443 Documents Cited by Year
The geometry of four-manifolds. Zbl 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
448
1990
Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018
Donaldson, S. K.
227
1985
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
204
2002
An application of gauge theory to four dimensional topology. Zbl 0507.57010
Donaldson, S. K.
182
1983
Polynomial invariants for smooth four-manifolds. Zbl 0715.57007
Donaldson, S. K.
172
1990
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
161
2001
Infinite determinants, stable bundles and curvature. Zbl 0627.53052
Donaldson, S. K.
126
1987
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
109
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
103
2015
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
102
1987
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
100
1987
Instantons and geometric invariant theory. Zbl 0581.14008
Donaldson, S. K.
98
1984
Gauge theory in higher dimensions. Zbl 0926.58003
Donaldson, S. K.; Thomas, R. P.
92
1998
Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than \(2\pi\). Zbl 1312.53097
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
90
2015
Kähler metrics with cone singularities along a divisor. Zbl 1326.32039
Donaldson, S. K.
85
2012
Nahm’s equations and the classification of monopoles. Zbl 0603.58042
Donaldson, S. K.
85
1984
A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027
Donaldson, S. K.
81
1983
Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025
Donaldson, S. K.
80
1999
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
76
1996
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
73
2002
Lower bounds on the Calabi functional. Zbl 1149.53042
Donaldson, S. K.
70
2005
Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007
Donaldson, S. K.
69
1986
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
59
1987
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
58
2009
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
58
1989
Lefschetz pencils on symplectic manifolds. Zbl 1040.53094
Donaldson, S. K.
55
1999
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037
Donaldson, Simon; Sun, Song
49
2014
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
48
2005
Gauge theory in higher dimensions. II. Zbl 1256.53038
Donaldson, Simon; Segal, Ed
46
2011
Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066
Donaldson, Simon K.
46
2008
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
45
2005
Boundary value problems for Yang-Mills fields. Zbl 0747.53022
Donaldson, S. K.
44
1992
Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018
Donaldson, S. K.
44
2006
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
43
2009
Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029
Donaldson, S.; Friedman, R.
43
1989
The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023
Donaldson, S. K.
40
1996
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
39
2008
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
38
1999
The geometry of four-manifolds. Paperback ed. Zbl 0904.57001
Donaldson, S. K.; Kronheimer, P. B.
36
1997
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
30
2005
Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020
Auroux, D.; Donaldson, S. K.; Katzarkov, L.
29
2003
Kähler-Einstein metrics and stability. Zbl 1331.32011
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
27
2014
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074
Donaldson, Simon; Sun, Song
25
2017
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
24
2002
Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516
Braam, P. J.; Donaldson, S. K.
23
1995
Yang-Mills invariants of four-manifolds. Zbl 0836.57012
Donaldson, S. K.
22
1990
Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040
Donaldson, Simon; Smith, Ivan
21
2003
Lefschetz fibrations in symplectic geometry. Zbl 0909.53018
Donaldson, S. K.
18
1998
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
17
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.
12
2010
Conjectures in Kähler geometry. Zbl 1161.32010
Donaldson, Simon K.
11
2005
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
Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031
Donaldson, S. K.
10
1999
Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027
Donaldson, S. K.
10
2000
Riemann surfaces. Zbl 1235.30001
Donaldson, Simon
9
2011
Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069
Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M.
9
2004
Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044
Donaldson, Simon
9
2017
La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010
Donaldson, Simon K.
8
1985
Floer homology and algebraic geometry. Zbl 0829.57011
Donaldson, S. K.
7
1995
A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007
Donaldson, Simon
6
2009
Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019
Chen, X.-X.; Donaldson, S. K.
6
2013
Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093
Donaldson, Simon
5
2015
Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318
Bunch, R. S.; Donaldson, Simon K.
5
2008
Moment maps in differential geometry. Zbl 1078.53084
Donaldson, S. K.
5
2003
Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023
Donaldson, S. K.
4
1985
Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517
Braam, P. J.; Donaldson, S. K.
4
1995
b-stability and blow-ups. Zbl 1288.53070
Donaldson, S. K.
4
2014
Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020
Donaldson, Simon K.
4
2012
Geometry in Oxford c. 1980–85. Zbl 0957.01030
Donaldson, Simon
4
1999
Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020
Chen, X.-X.; Donaldson, S. K.
4
2013
The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093
Donaldson, S. K.
4
2017
Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036
Donaldson, S. K.
3
1993
Some problems in differential geometry and topology. Zbl 1146.57301
Donaldson, S. K.
3
2008
Complex curves and surgery. Zbl 0696.57007
Donaldson, Simon K.
3
1988
Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005
Donaldson, S. K.
3
1987
Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044
Donaldson, Simon; Fine, Joel
3
2006
Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042
Donaldson, Simon
3
2018
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
What is …a pseudoholomorphic curve? Zbl 1090.32015
Donaldson, Simon K.
2
2005
Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057
Chen, X.-X.; Donaldson, S. K.
2
2014
Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016
Donaldson, Simon
2
2016
Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002
Donaldson, Simon
2
2018
One hundred years of manifold topology. Zbl 0956.57004
Donaldson, S. K.
2
1999
Geometry of low-dimensional manifolds. 2: Symplectic manifolds and Jones- Witten theory. Proceedings of the Durham symposium, Durham, UK, July 1989. Zbl 0722.00024
Donaldson, S. K. (ed.); Thomas, C. B. (ed.)
1
1990
On the work of Andreas Floer. Zbl 0777.01010
Donaldson, S. K.
1
1993
Gauge theory and four-manifold topology. Zbl 0855.57002
Donaldson, S. K.
1
1994
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
Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001
Donaldson, Simon
1
2019
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
The geometry of 4-manifolds. Zbl 0673.57016
Donaldson, Simon K.
1
1987
Moment maps and diffeomorphisms. Zbl 1106.53037
Donaldson, S. K.
1
2000
Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018
Donaldson, S. K.
1
1989
Lefschetz pencils and mapping class groups. Zbl 1259.32003
Donaldson, S. K.
1
2006
Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001
Donaldson, Simon
1
2016
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
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
25
2017
Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044
Donaldson, Simon
9
2017
The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093
Donaldson, S. K.
4
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
1
2016
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
109
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
103
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
90
2015
Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093
Donaldson, Simon
5
2015
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037
Donaldson, Simon; Sun, Song
49
2014
Kähler-Einstein metrics and stability. Zbl 1331.32011
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
27
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.
6
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.
85
2012
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
17
2012
Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020
Donaldson, Simon K.
4
2012
Gauge theory in higher dimensions. II. Zbl 1256.53038
Donaldson, Simon; Segal, Ed
46
2011
Riemann surfaces. Zbl 1235.30001
Donaldson, Simon
9
2011
Nahm’s equations and free-boundary problems. Zbl 1211.58015
Donaldson, Simon K.
12
2010
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
58
2009
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
43
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.
46
2008
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
39
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.
44
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.
70
2005
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
48
2005
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
45
2005
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
30
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.
9
2004
Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020
Auroux, D.; Donaldson, S. K.; Katzarkov, L.
29
2003
Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040
Donaldson, Simon; Smith, Ivan
21
2003
Moment maps in differential geometry. Zbl 1078.53084
Donaldson, S. K.
5
2003
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
204
2002
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
73
2002
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
24
2002
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
161
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.
80
1999
Lefschetz pencils on symplectic manifolds. Zbl 1040.53094
Donaldson, S. K.
55
1999
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
38
1999
Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031
Donaldson, S. K.
10
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.
2
1999
Gauge theory in higher dimensions. Zbl 0926.58003
Donaldson, S. K.; Thomas, R. P.
92
1998
Lefschetz fibrations in symplectic geometry. Zbl 0909.53018
Donaldson, S. K.
18
1998
The geometry of four-manifolds. Paperback ed. Zbl 0904.57001
Donaldson, S. K.; Kronheimer, P. B.
36
1997
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
76
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.
23
1995
Floer homology and algebraic geometry. Zbl 0829.57011
Donaldson, S. K.
7
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.
44
1992
The geometry of four-manifolds. Zbl 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
448
1990
Polynomial invariants for smooth four-manifolds. Zbl 0715.57007
Donaldson, S. K.
172
1990
Yang-Mills invariants of four-manifolds. Zbl 0836.57012
Donaldson, S. K.
22
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
Donaldson, S. K.; Thomas, C. B.
1
1990
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
58
1989
Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029
Donaldson, S.; Friedman, R.
43
1989
Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018
Donaldson, S. K.
1
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.
126
1987
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
102
1987
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
100
1987
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
59
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.
69
1986
Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018
Donaldson, S. K.
227
1985
La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010
Donaldson, Simon K.
8
1985
Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023
Donaldson, S. K.
4
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.
98
1984
Nahm’s equations and the classification of monopoles. Zbl 0603.58042
Donaldson, S. K.
85
1984
Smooth 4-manifolds with definite intersection form. Zbl 0558.57005
Donaldson, S. K.
1
1984
The Yang-Mills equations on Euclidean space. Zbl 0563.53058
Donaldson, S. K.
1
1984
An application of gauge theory to four dimensional topology. Zbl 0507.57010
Donaldson, S. K.
182
1983
A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027
Donaldson, S. K.
81
1983
Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012
Donaldson, S. K.
15
1983
all top 5

Cited by 1,893 Authors

44 Biswas, Indranil
26 García-Prada, Oscar
24 Chen, Xiuxiong
23 Loi, Andrea
22 Tian, Gang
21 Zhang, Xi
16 Arezzo, Claudio
16 Popov, Alexander D.
16 Sheng, Li
15 El Naschie, Mohamed Saladin
15 Hurtubise, Jacques C.
14 Berman, Robert J.
14 Lechtenfeld, Olaf
14 Szabo, Zoltan
14 Székelyhidi, Gábor
13 Donaldson, Simon Kirwan
13 Li, An-Min
13 Li, Chi
13 Lisca, Paolo
13 Teleman, Andrei-Dumitru
12 Akhmedov, Anar
12 Feehan, Paul M. N.
12 Jardim, Marcos
12 LeBrun, Claude R.
12 Muñoz Velázquez, Vicente
12 Song, Jian
12 Sun, Song
11 Fujita, Kento
11 Leness, Thomas G.
11 Li, Jiayu
11 Oliveira, Goncalo
11 Ross, Julius
11 Rubinstein, Yanir A.
10 Cheltsov, Ivan Anatol’evich
10 Chen, Bohui
10 Huang, Hongnian
10 Huang, Teng
10 Keller, Julien
10 Odaka, Yuji
10 Ozsváth, Peter Steven
10 Park, B. Doug
10 Stipsicz, András I.
10 Wentworth, Richard A.
10 Xu, Chenyang
10 Zedda, Michela
10 Zhou, Bin
10 Zuddas, Fabio
9 Boyer, Charles P.
9 Bruzzo, Ugo
9 Darvas, Tamás
9 He, Weiyong
9 Joyce, Dominic David
9 Kotschick, Dieter
9 Kronheimer, Peter Benedict
9 Mabuchi, Toshiki
9 Moore, Gregory Winthrop
9 Qin, Zhenbo
9 Ruberman, Daniel
9 Simpson, Carlos Tschudi
9 Singer, Michael A.
9 Tsukamoto, Masaki
9 Verbitsky, Misha
9 Wehrheim, Katrin
9 Weinkove, Ben
9 Zhang, Chuanjing
8 Biquard, Olivier
8 Boucksom, Sébastien
8 Bradlow, Steven B.
8 Dervan, Ruadhaí
8 Futaki, Akito
8 Phong, Duong Hong
8 Sergeev, Armen Glebovich
8 Seyyedali, Reza
8 Smith, Ivan
8 Wang, Yuanqi
8 Yau, Shing-Tung
7 Apostolov, Vestislav
7 Aßelmeyer-Maluga, Torsten
7 Atiyah, Michael Francis
7 Baykur, Refik İnanç
7 Berndtsson, Bo
7 Buchdahl, Nicholas P.
7 Daskalopoulos, Georgios D.
7 Garcia-Fernandez, Mario
7 Hambleton, Ian
7 Hayano, Kenta
7 Itoh, Mitsuhiro
7 Ivanova, Tatiana A.
7 Iwaniec, Tadeusz
7 Legendre, Eveline
7 Leung, Naichung Conan
7 Mrowka, Tomasz S.
7 Okonek, Christian
7 Pingali, Vamsi Pritham
7 Svanes, Eirik Eik
7 Swann, Andrew F.
7 Taubes, Clifford Henry
7 Tipler, Carl
7 Tønnesen-Friedman, Christina Wiis
7 Viaclovsky, Jeff A.
...and 1,793 more Authors
all top 5

Cited in 251 Serials

132 Advances in Mathematics
124 Communications in Mathematical Physics
124 Journal of Geometry and Physics
100 Mathematische Annalen
81 Geometry & Topology
79 Transactions of the American Mathematical Society
72 Inventiones Mathematicae
65 Journal of High Energy Physics
62 Mathematische Zeitschrift
60 Duke Mathematical Journal
57 Nuclear Physics. B
56 The Journal of Geometric Analysis
54 Topology and its Applications
48 Proceedings of the American Mathematical Society
45 Annals of Global Analysis and Geometry
42 International Journal of Mathematics
36 Differential Geometry and its Applications
36 Calculus of Variations and Partial Differential Equations
31 Algebraic & Geometric Topology
28 Journal für die Reine und Angewandte Mathematik
27 Bulletin of the American Mathematical Society. New Series
26 Annales de l’Institut Fourier
26 Geometriae Dedicata
26 Comptes Rendus. Mathématique. Académie des Sciences, Paris
25 Journal of Mathematical Physics
24 Manuscripta Mathematica
23 Journal of Functional Analysis
22 Journal of the American Mathematical Society
22 Annals of Mathematics. Second Series
21 Compositio Mathematica
20 Letters in Mathematical Physics
20 International Journal of Geometric Methods in Modern Physics
19 Chaos, Solitons and Fractals
18 Journal of Mathematical Analysis and Applications
18 Geometric and Functional Analysis. GAFA
18 Journal of the European Mathematical Society (JEMS)
16 Journal of the Mathematical Society of Japan
15 International Journal of Modern Physics A
15 Complex Manifolds
13 Communications in Contemporary Mathematics
12 Physics Letters. B
12 Publications Mathématiques
12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
12 Nuclear Physics, B, Proceedings Supplements
11 Acta Mathematica
11 Selecta Mathematica. New Series
11 Acta Mathematica Sinica. English Series
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
11 Science China. Mathematics
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Memoirs of the American Mathematical Society
10 Michigan Mathematical Journal
10 Osaka Journal of Mathematics
10 Proceedings of the Japan Academy. Series A
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Mathematical Proceedings of the Cambridge Philosophical Society
8 Israel Journal of Mathematics
8 Journal of Algebra
8 Journal of the London Mathematical Society. Second Series
8 Tohoku Mathematical Journal. Second Series
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Bulletin of the London Mathematical Society
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Forum Mathematicum
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Glasgow Mathematical Journal
6 Journal of Differential Equations
6 Journal of Differential Geometry
6 Journal of Algebraic Geometry
6 Journal of Topology
6 Japanese Journal of Mathematics. 3rd Series
6 Communications in Mathematics and Statistics
5 International Journal of Theoretical Physics
5 Mathematical Notes
5 Theoretical and Mathematical Physics
5 Fortschritte der Physik
5 Mathematische Nachrichten
5 Nagoya Mathematical Journal
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Proceedings of the London Mathematical Society. Third Series
5 Revista Matemática Iberoamericana
5 Central European Journal of Mathematics
5 Proceedings of the Steklov Institute of Mathematics
5 Journal of Fixed Point Theory and Applications
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 Reviews in Mathematical Physics
4 Bulletin de la Société Mathématique de France
4 Illinois Journal of Mathematics
4 Journal of Geometry
4 Journal of Pure and Applied Algebra
4 Kodai Mathematical Journal
4 Pacific Journal of Mathematics
4 Results in Mathematics
4 International Journal of Algebra and Computation
4 Proceedings of the National Academy of Sciences of the United States of America
4 Journal of Knot Theory and its Ramifications
...and 151 more Serials
all top 5

Cited in 54 Fields

1,225 Differential geometry (53-XX)
684 Algebraic geometry (14-XX)
683 Several complex variables and analytic spaces (32-XX)
623 Manifolds and cell complexes (57-XX)
537 Global analysis, analysis on manifolds (58-XX)
420 Quantum theory (81-XX)
176 Partial differential equations (35-XX)
98 Relativity and gravitational theory (83-XX)
78 Algebraic topology (55-XX)
65 Functions of a complex variable (30-XX)
57 Dynamical systems and ergodic theory (37-XX)
39 Group theory and generalizations (20-XX)
36 Mechanics of particles and systems (70-XX)
27 Associative rings and algebras (16-XX)
27 Functional analysis (46-XX)
23 Nonassociative rings and algebras (17-XX)
21 Number theory (11-XX)
20 Probability theory and stochastic processes (60-XX)
18 Topological groups, Lie groups (22-XX)
18 Operator theory (47-XX)
18 General topology (54-XX)
17 Category theory; homological algebra (18-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
13 History and biography (01-XX)
12 General and overarching topics; collections (00-XX)
12 \(K\)-theory (19-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Geometry (51-XX)
9 Convex and discrete geometry (52-XX)
8 Combinatorics (05-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Potential theory (31-XX)
7 Ordinary differential equations (34-XX)
6 Commutative algebra (13-XX)
6 Measure and integration (28-XX)
6 Numerical analysis (65-XX)
6 Computer science (68-XX)
6 Fluid mechanics (76-XX)
5 Real functions (26-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Approximations and expansions (41-XX)
4 Systems theory; control (93-XX)
3 Special functions (33-XX)
3 Integral transforms, operational calculus (44-XX)
3 Statistics (62-XX)
3 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-XX)
2 Operations research, mathematical programming (90-XX)
2 Information and communication theory, circuits (94-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Difference and functional equations (39-XX)
1 Mechanics of deformable solids (74-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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