×

Donaldson, Simon Kirwan

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)

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 5,524 times in 3,217 Documents Cited by Year
The geometry of four-manifolds. Zbl 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
548
1990
Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018
Donaldson, S. K.
323
1985
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
285
2002
An application of gauge theory to four dimensional topology. Zbl 0507.57010
Donaldson, S. K.
242
1983
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
209
2001
Polynomial invariants for smooth four-manifolds. Zbl 0715.57007
Donaldson, S. K.
204
1990
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
197
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
187
2015
Infinite determinants, stable bundles and curvature. Zbl 0627.53052
Donaldson, S. K.
155
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
150
2015
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
145
1987
Gauge theory in higher dimensions. Zbl 0926.58003
Donaldson, S. K.; Thomas, R. P.
134
1998
Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025
Donaldson, S. K.
131
1999
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
125
1987
Kähler metrics with cone singularities along a divisor. Zbl 1326.32039
Donaldson, S. K.
112
2012
Instantons and geometric invariant theory. Zbl 0581.14008
Donaldson, S. K.
110
1984
Nahm’s equations and the classification of monopoles. Zbl 0603.58042
Donaldson, S. K.
103
1984
A new proof of a theorem of Narasimhan and Seshadri. Zbl 0504.49027
Donaldson, S. K.
98
1983
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
96
2002
Lower bounds on the Calabi functional. Zbl 1149.53042
Donaldson, S. K.
94
2005
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
94
1996
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037
Donaldson, Simon; Sun, Song
80
2014
Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007
Donaldson, S. K.
79
1986
Lefschetz pencils on symplectic manifolds. Zbl 1040.53094
Donaldson, S. K.
74
1999
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
73
2009
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
70
1987
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
65
1989
Gauge theory in higher dimensions. II. Zbl 1256.53038
Donaldson, Simon; Segal, Ed
64
2011
Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066
Donaldson, Simon K.
63
2008
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
62
2009
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
59
2005
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
59
2005
Boundary value problems for Yang-Mills fields. Zbl 0747.53022
Donaldson, S. K.
58
1992
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
57
1999
Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018
Donaldson, S. K.
55
2006
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074
Donaldson, Simon; Sun, Song
54
2017
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
48
2008
Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029
Donaldson, S.; Friedman, R.
47
1989
The geometry of four-manifolds. Paperback ed. Zbl 0904.57001
Donaldson, S. K.; Kronheimer, P. B.
47
1997
The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023
Donaldson, S. K.
47
1996
Representations of braid groups (Notes by S. K. Donaldson). Zbl 0735.57001
Atiyah, M. F.
44
1990
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
38
2005
Kähler-Einstein metrics and stability. Zbl 1331.32011
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
36
2014
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
35
2002
Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516
Braam, P. J.; Donaldson, S. K.
33
1995
Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020
Auroux, D.; Donaldson, S. K.; Katzarkov, L.
33
2003
Yang-Mills invariants of four-manifolds. Zbl 0836.57012
Donaldson, S. K.
27
1990
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
27
2012
Riemann surfaces. Zbl 1235.30001
Donaldson, Simon
27
2011
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.
22
1998
Nahm’s equations and free-boundary problems. Zbl 1211.58015
Donaldson, Simon K.
18
2010
Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012
Donaldson, S. K.
17
1983
Conjectures in Kähler geometry. Zbl 1161.32010
Donaldson, Simon K.
17
2005
Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039
Donaldson, S. K.
13
1993
Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069
Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M.
13
2004
Floer homology and algebraic geometry. Zbl 0829.57011
Donaldson, S. K.
12
1995
Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093
Donaldson, Simon
12
2015
Topological field theories and formulae of Casson and Meng-Taubes. Zbl 0958.57031
Donaldson, S. K.
11
1999
Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044
Donaldson, Simon
11
2017
Moment maps in differential geometry. Zbl 1078.53084
Donaldson, S. K.
11
2003
The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093
Donaldson, S. K.
11
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
The approximation of instantons. Zbl 0778.57010
Donaldson, S. K.
10
1993
A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007
Donaldson, Simon
8
2009
Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018
Donaldson, Simon K.
8
2018
Geometry in Oxford c. 1980–85. Zbl 0957.01030
Donaldson, Simon
7
1999
Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020
Donaldson, Simon K.
7
2012
Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002
Donaldson, Simon
7
2018
Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019
Chen, X.-X.; Donaldson, S. K.
7
2013
Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517
Braam, P. J.; Donaldson, S. K.
6
1995
Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023
Donaldson, S. K.
6
1985
Some problems in differential geometry and topology. Zbl 1146.57301
Donaldson, S. K.
6
2008
Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318
Bunch, R. S.; Donaldson, Simon K.
6
2008
Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052
Donaldson, S. K.
5
2001
b-stability and blow-ups. Zbl 1288.53070
Donaldson, S. K.
5
2014
Lefschetz pencils and mapping class groups. Zbl 1259.32003
Donaldson, S. K.
4
2006
Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020
Chen, X.-X.; Donaldson, S. K.
4
2013
Gauge theory and smooth structures on 4-manifolds. Zbl 0656.57005
Donaldson, S. K.
3
1987
One hundred years of manifold topology. Zbl 0956.57004
Donaldson, S. K.
3
1999
Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044
Donaldson, Simon; Fine, Joel
3
2006
Complex curves and surgery. Zbl 0696.57007
Donaldson, Simon K.
3
1988
Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018
Donaldson, S. K.
3
1989
Complex cobordism, Ashtekar’s equations and diffeomorphisms. Zbl 0933.53036
Donaldson, S. K.
3
1993
Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001
Donaldson, Simon
3
2016
Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002
Donaldson, Simon
3
2021
Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042
Donaldson, Simon
3
2018
Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056
Donaldson, Simon
3
2018
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
Moment maps and diffeomorphisms. Zbl 1106.53037
Donaldson, S. K.
2
2000
Gauge theory and four-manifold topology. Zbl 0855.57002
Donaldson, S. K.
2
1994
Geometry of low-dimensional manifolds. 2: Symplectic manifolds and Jones- Witten theory. Proceedings of the Durham symposium, Durham, UK, July 1989. Zbl 0722.00024
2
1990
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
Deformations of multivalued harmonic functions. Zbl 1492.53084
Donaldson, Simon
2
2021
Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001
Donaldson, Simon
2
2019
The geometry of 4-manifolds. Zbl 0673.57016
Donaldson, Simon K.
1
1987
Smooth 4-manifolds with definite intersection form. Zbl 0558.57005
Donaldson, S. K.
1
1984
Extremal Kähler metrics and convex analysis. Zbl 1486.32009
Donaldson, Simon
1
2022
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
2
2021
Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001
Donaldson, Simon
2
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
Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018
Donaldson, Simon K.
8
2018
Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002
Donaldson, Simon
7
2018
Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042
Donaldson, Simon
3
2018
Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056
Donaldson, Simon
3
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
54
2017
Adiabatic limits of co-associative Kovalev-Lefschetz fibrations. Zbl 1409.53044
Donaldson, Simon
11
2017
The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093
Donaldson, S. K.
11
2017
Kähler-Einstein metrics and algebraic geometry. Zbl 1375.32001
Donaldson, Simon
3
2016
Kähler-Einstein metrics and algebraic structures on limit spaces. Zbl 1364.32016
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
197
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
187
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
150
2015
Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093
Donaldson, Simon
12
2015
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037
Donaldson, Simon; Sun, Song
80
2014
Kähler-Einstein metrics and stability. Zbl 1331.32011
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
36
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.
112
2012
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
27
2012
Calabi-Yau metrics on Kummer surfaces as a model gluing problem. Zbl 1341.32020
Donaldson, Simon K.
7
2012
Gauge theory in higher dimensions. II. Zbl 1256.53038
Donaldson, Simon; Segal, Ed
64
2011
Riemann surfaces. Zbl 1235.30001
Donaldson, Simon
27
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.
18
2010
Constant scalar curvature metrics on toric surfaces. Zbl 1177.53067
Donaldson, Simon K.
73
2009
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
62
2009
A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007
Donaldson, Simon
8
2009
Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066
Donaldson, Simon K.
63
2008
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
48
2008
Some problems in differential geometry and topology. Zbl 1146.57301
Donaldson, S. K.
6
2008
Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318
Bunch, R. S.; Donaldson, Simon K.
6
2008
Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018
Donaldson, S. K.
55
2006
Lefschetz pencils and mapping class groups. Zbl 1259.32003
Donaldson, S. K.
4
2006
Toric anti-self-dual 4-manifolds via complex geometry. Zbl 1114.53044
Donaldson, Simon; Fine, Joel
3
2006
Lower bounds on the Calabi functional. Zbl 1149.53042
Donaldson, S. K.
94
2005
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
59
2005
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
59
2005
Singular Lefschetz pencils. Zbl 1077.53069
Auroux, Denis; Donaldson, Simon K.; Katzarkov, Ludmil
38
2005
Conjectures in Kähler geometry. Zbl 1161.32010
Donaldson, Simon K.
17
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.
13
2004
Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves. Zbl 1026.57020
Auroux, D.; Donaldson, S. K.; Katzarkov, L.
33
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.
11
2003
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
285
2002
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
96
2002
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
35
2002
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
209
2001
Planck’s constant in complex and almost-complex geometry. Zbl 1041.53052
Donaldson, S. K.
5
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.
2
2000
Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025
Donaldson, S. K.
131
1999
Lefschetz pencils on symplectic manifolds. Zbl 1040.53094
Donaldson, S. K.
74
1999
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
57
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.
134
1998
Lefschetz fibrations in symplectic geometry. Zbl 0909.53018
Donaldson, S. K.
22
1998
The geometry of four-manifolds. Paperback ed. Zbl 0904.57001
Donaldson, S. K.; Kronheimer, P. B.
47
1997
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
94
1996
The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023
Donaldson, S. K.
47
1996
Floer’s work on instanton homology, knots and surgery. Zbl 0996.57516
Braam, P. J.; Donaldson, S. K.
33
1995
Floer homology and algebraic geometry. Zbl 0829.57011
Donaldson, S. K.
12
1995
Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517
Braam, P. J.; Donaldson, S. K.
6
1995
Gauge theory and four-manifold topology. Zbl 0855.57002
Donaldson, S. K.
2
1994
Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039
Donaldson, S. K.
13
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.
58
1992
The geometry of four-manifolds. Zbl 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
548
1990
Polynomial invariants for smooth four-manifolds. Zbl 0715.57007
Donaldson, S. K.
204
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.
27
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
2
1990
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
65
1989
Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029
Donaldson, S.; Friedman, R.
47
1989
Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018
Donaldson, S. K.
3
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.
155
1987
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
145
1987
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
125
1987
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
70
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.
79
1986
Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018
Donaldson, S. K.
323
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.
6
1985
4-manifolds with indefinite intersection form. Zbl 0562.53022
Donaldson, S. K.
1
1985
...and 7 more Documents
all top 5

Cited by 2,503 Authors

49 Biswas, Indranil
27 García-Prada, Oscar
27 Tian, Gang
27 Zhang, Xi
26 Chen, Xiuxiong
25 Loi, Andrea
21 Popov, Alexander D.
20 Berman, Robert J.
19 Li, Chi
18 Lechtenfeld, Olaf
18 Sheng, Li
17 Arezzo, Claudio
17 Székelyhidi, Gábor
17 Xu, Chenyang
16 El Naschie, Mohamed Saladin
16 Hurtubise, Jacques C.
16 Liu, Yuchen
16 Song, Jian
16 Sun, Song
15 Darvas, Tamás
15 Donaldson, Simon Kirwan
15 Li, An-Min
15 Szabo, Zoltan
15 Teleman, Andrei-Dumitru
14 Akhmedov, Anar
14 Feehan, Paul M. N.
14 Muñoz Velázquez, Vicente
13 Baykur, Refik İnanç
13 Fujita, Kento
13 Huang, Teng
13 Lisca, Paolo
13 Oliveira, Goncalo
13 Rubinstein, Yanir A.
13 Tipler, Carl
13 Wentworth, Richard A.
13 Yau, Shing-Tung
12 Biquard, Olivier
12 Boucksom, Sébastien
12 He, Weiyong
12 Jardim, Marcos
12 Joyce, Dominic David
12 LeBrun, Claude R.
12 Odaka, Yuji
12 Ross, Julius
12 Svanes, Eirik Eik
12 Zhang, Chuanjing
11 Anderson, Lara B.
11 Ashmore, Anthony
11 Baraglia, David
11 Boyer, Charles P.
11 Cheltsov, Ivan Anatol’evich
11 Dervan, Ruadhaí
11 Gasparim, Elizabeth
11 Keller, Julien
11 Legendre, Eveline
11 Leness, Thomas G.
11 Li, Jiayu
11 Moore, Gregory Winthrop
11 Ovrut, Burt A.
11 Ozsváth, Peter Steven
11 Park, B. Doug
11 Zhu, Xiaohua
11 Zuddas, Fabio
10 Apostolov, Vestislav
10 Berndtsson, Bo
10 Bruzzo, Ugo
10 Buchdahl, Nicholas P.
10 Chen, Bohui
10 Huang, Hongnian
10 Konno, Hokuto
10 Ma, Xiaonan
10 Ruberman, Daniel
10 Smith, Ivan
10 Stipsicz, András I.
10 Zedda, Michela
10 Zhang, Pan
10 Zhou, Bin
10 Zhuang, Ziquan
9 Bradlow, Steven B.
9 Datar, Ved V.
9 Garcia-Fernandez, Mario
9 Ivanova, Tatiana A.
9 Kotschick, Dieter
9 Kronheimer, Peter Benedict
9 Mabuchi, Toshiki
9 Qin, Zhenbo
9 Sergeev, Armen Glebovich
9 Simpson, Carlos Tschudi
9 Singer, Michael A.
9 Szabo, Richard J.
9 Tønnesen-Friedman, Christina Wiis
9 Tsukamoto, Masaki
9 Verbitsky, Misha
9 Walpuski, Thomas
9 Wang, Yuanqi
9 Wehrheim, Katrin
9 Weinkove, Ben
9 Woodward, Christopher T.
8 Collins, Tristan Clifford
8 de Borbon, Martin
...and 2,403 more Authors
all top 5

Cited in 294 Serials

170 Advances in Mathematics
143 Communications in Mathematical Physics
142 Journal of Geometry and Physics
136 Journal of High Energy Physics
111 Mathematische Annalen
101 Geometry & Topology
88 The Journal of Geometric Analysis
86 Transactions of the American Mathematical Society
82 Inventiones Mathematicae
81 Mathematische Zeitschrift
71 Duke Mathematical Journal
62 Nuclear Physics. B
61 Topology and its Applications
56 International Journal of Mathematics
54 Annals of Global Analysis and Geometry
53 Proceedings of the American Mathematical Society
45 Calculus of Variations and Partial Differential Equations
44 Algebraic & Geometric Topology
41 Journal für die Reine und Angewandte Mathematik
39 Differential Geometry and its Applications
33 Annales de l’Institut Fourier
33 Bulletin of the American Mathematical Society. New Series
32 Letters in Mathematical Physics
31 Journal of Functional Analysis
30 Geometriae Dedicata
28 Journal of Mathematical Physics
28 Manuscripta Mathematica
27 Journal of the American Mathematical Society
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
25 Annals of Mathematics. Second Series
24 Journal of the London Mathematical Society. Second Series
24 Geometric and Functional Analysis. GAFA
23 Compositio Mathematica
23 Journal of the European Mathematical Society (JEMS)
23 International Journal of Geometric Methods in Modern Physics
20 Chaos, Solitons and Fractals
19 Journal of Mathematical Analysis and Applications
19 Journal of Differential Geometry
18 Journal of the Mathematical Society of Japan
18 Complex Manifolds
17 Selecta Mathematica. New Series
17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
16 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
16 Acta Mathematica Sinica. English Series
16 Journal of Topology
15 International Journal of Modern Physics A
15 Communications in Contemporary Mathematics
14 Physics Letters. B
14 Publications Mathématiques
14 Memoirs of the American Mathematical Society
14 Science China. Mathematics
13 Bulletin of the London Mathematical Society
13 Michigan Mathematical Journal
13 Oberwolfach Reports
12 Osaka Journal of Mathematics
12 Nuclear Physics. B. Proceedings Supplements
12 Bulletin des Sciences Mathématiques
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Acta Mathematica
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Pacific Journal of Mathematics
11 Publications of the Research Institute for Mathematical Sciences, Kyoto University
11 Journal of Algebraic Geometry
10 Journal of Algebra
10 Proceedings of the Japan Academy. Series A
10 Proceedings of the London Mathematical Society. Third Series
10 European Journal of Mathematics
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Tôhoku Mathematical Journal. Second Series
8 Israel Journal of Mathematics
8 Fortschritte der Physik
8 Journal of Fixed Point Theory and Applications
8 Journal of Topology and Analysis
8 Communications in Mathematics and Statistics
8 Journal de l’École Polytechnique – Mathématiques
7 Reviews in Mathematical Physics
7 Mathematische Nachrichten
7 Nagoya Mathematical Journal
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Revista Matemática Iberoamericana
7 Forum Mathematicum
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Journal of Knot Theory and its Ramifications
7 Japanese Journal of Mathematics. 3rd Series
7 Forum of Mathematics, Sigma
6 Analysis Mathematica
6 Mathematical Notes
6 Theoretical and Mathematical Physics
6 Bulletin de la Société Mathématique de France
6 Glasgow Mathematical Journal
6 Indiana University Mathematics Journal
6 Journal of Differential Equations
6 Journal of Geometry
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Annales Henri Poincaré
6 Journal of the Institute of Mathematics of Jussieu
6 Analysis & PDE
6 Peking Mathematical Journal
5 Communications on Pure and Applied Mathematics
...and 194 more Serials
all top 5

Cited in 59 Fields

1,582 Differential geometry (53-XX)
989 Algebraic geometry (14-XX)
948 Several complex variables and analytic spaces (32-XX)
785 Manifolds and cell complexes (57-XX)
648 Global analysis, analysis on manifolds (58-XX)
582 Quantum theory (81-XX)
244 Partial differential equations (35-XX)
144 Relativity and gravitational theory (83-XX)
98 Algebraic topology (55-XX)
85 Functions of a complex variable (30-XX)
62 Dynamical systems and ergodic theory (37-XX)
54 Mechanics of particles and systems (70-XX)
47 Group theory and generalizations (20-XX)
35 Associative rings and algebras (16-XX)
33 Number theory (11-XX)
31 Nonassociative rings and algebras (17-XX)
31 Topological groups, Lie groups (22-XX)
31 Functional analysis (46-XX)
30 Probability theory and stochastic processes (60-XX)
27 General and overarching topics; collections (00-XX)
22 Operator theory (47-XX)
21 History and biography (01-XX)
21 Category theory; homological algebra (18-XX)
20 General topology (54-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
18 \(K\)-theory (19-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Convex and discrete geometry (52-XX)
12 Commutative algebra (13-XX)
11 Geometry (51-XX)
11 Computer science (68-XX)
10 Numerical analysis (65-XX)
9 Potential theory (31-XX)
9 Ordinary differential equations (34-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Fluid mechanics (76-XX)
8 Combinatorics (05-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Real functions (26-XX)
7 Optics, electromagnetic theory (78-XX)
6 Measure and integration (28-XX)
5 Special functions (33-XX)
5 Approximations and expansions (41-XX)
4 Statistics (62-XX)
4 Systems theory; control (93-XX)
3 Integral transforms, operational calculus (44-XX)
3 Astronomy and astrophysics (85-XX)
3 Operations research, mathematical programming (90-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Biology and other natural sciences (92-XX)
2 Information and communication theory, circuits (94-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of deformable solids (74-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematics education (97-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.