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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 5,368 times in 3,135 Documents Cited by Year
The geometry of four-manifolds. Zbl 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
534
1990
Anti self-dual Yang Mills connections over complex algebraic surfaces and stable vector bundles. Zbl 0529.53018
Donaldson, S. K.
320
1985
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
278
2002
An application of gauge theory to four dimensional topology. Zbl 0507.57010
Donaldson, S. K.
235
1983
Polynomial invariants for smooth four-manifolds. Zbl 0715.57007
Donaldson, S. K.
204
1990
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
202
2001
Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities. Zbl 1312.53096
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
181
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
177
2015
Infinite determinants, stable bundles and curvature. Zbl 0627.53052
Donaldson, S. K.
153
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
141
2015
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
140
1987
Symmetric spaces, Kähler geometry and Hamiltonian dynamics. Zbl 0972.53025
Donaldson, S. K.
124
1999
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
124
1987
Gauge theory in higher dimensions. Zbl 0926.58003
Donaldson, S. K.; Thomas, R. P.
123
1998
Kähler metrics with cone singularities along a divisor. Zbl 1326.32039
Donaldson, S. K.
110
2012
Instantons and geometric invariant theory. Zbl 0581.14008
Donaldson, S. K.
108
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.
97
1983
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
95
2002
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
92
1996
Lower bounds on the Calabi functional. Zbl 1149.53042
Donaldson, S. K.
92
2005
Connections, cohomology and the intersection forms of 4-manifolds. Zbl 0635.57007
Donaldson, S. K.
79
1986
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037
Donaldson, Simon; Sun, Song
77
2014
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.
72
2009
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
69
1987
Gauge theory in higher dimensions. II. Zbl 1256.53038
Donaldson, Simon; Segal, Ed
64
2011
Quasiconformal 4-manifolds. Zbl 0704.57008
Donaldson, S. K.; Sullivan, D. P.
64
1989
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
62
2009
Kähler geometry on toric manifolds, and some other manifolds with large symmetry. Zbl 1161.53066
Donaldson, Simon K.
61
2008
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
58
2005
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
57
2005
Boundary value problems for Yang-Mills fields. Zbl 0747.53022
Donaldson, S. K.
56
1992
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
55
1999
Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018
Donaldson, S. K.
54
2006
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II. Zbl 1388.53074
Donaldson, Simon; Sun, Song
49
2017
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
48
2008
The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023
Donaldson, S. K.
46
1996
The geometry of four-manifolds. Paperback ed. Zbl 0904.57001
Donaldson, S. K.; Kronheimer, P. B.
46
1997
Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029
Donaldson, S.; Friedman, R.
46
1989
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
35
2014
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
34
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.
32
2003
Yang-Mills invariants of four-manifolds. Zbl 0836.57012
Donaldson, S. K.
27
1990
Lefschetz pencils and the canonical class for symplectic four-manifolds. Zbl 1012.57040
Donaldson, Simon; Smith, Ivan
25
2003
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
25
2012
Lefschetz fibrations in symplectic geometry. Zbl 0909.53018
Donaldson, S. K.
22
1998
Riemann surfaces. Zbl 1235.30001
Donaldson, Simon
20
2011
Nahm’s equations and free-boundary problems. Zbl 1211.58015
Donaldson, Simon K.
18
2010
Conjectures in Kähler geometry. Zbl 1161.32010
Donaldson, Simon K.
16
2005
Self-dual connections and the topology of smooth 4-manifolds. Zbl 0519.57012
Donaldson, S. K.
15
1983
Fundamental groups of complements of plane curves and symplectic invariants. Zbl 1067.53069
Auroux, D.; Donaldson, S. K.; Katzarkov, L.; Yotov, M.
13
2004
Gluing techniques in the cohomology of moduli spaces. Zbl 0870.57039
Donaldson, S. K.
13
1993
Floer homology and algebraic geometry. Zbl 0829.57011
Donaldson, S. K.
12
1995
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.
10
2003
The Ding functional, Berndtsson convexity and moment maps. Zbl 1432.53093
Donaldson, S. K.
10
2017
Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093
Donaldson, Simon
10
2015
La topologie différentielle des surfaces complexes. (The differential topology of complex surfaces). Zbl 0584.57010
Donaldson, Simon K.
10
1985
Polynomials, vanishing cycles and Floer homology. Zbl 0958.57027
Donaldson, S. K.
10
2000
The approximation of instantons. Zbl 0778.57010
Donaldson, S. K.
10
1993
Stability of algebraic varieties and Kähler geometry. Zbl 1446.32018
Donaldson, Simon K.
8
2018
A generalised Joyce construction for a family of nonlinear partial differential equations. Zbl 1267.53007
Donaldson, Simon
8
2009
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
Volume estimates for Kähler-Einstein metrics and rigidity of complex structures. Zbl 1281.32019
Chen, X.-X.; Donaldson, S. K.
7
2013
Vector bundles on the flag manifold and the Ward correspondence. Zbl 0578.53023
Donaldson, S. K.
6
1985
Fukaya-Floer homology and gluing formulae for polynomial invariants. Zbl 0996.57517
Braam, P. J.; Donaldson, S. K.
6
1995
Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318
Bunch, R. S.; Donaldson, Simon K.
6
2008
Some recent developments in Kähler geometry and exceptional holonomy. Zbl 1451.53002
Donaldson, Simon
6
2018
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
Some problems in differential geometry and topology. Zbl 1146.57301
Donaldson, S. K.
5
2008
Volume estimates for Kähler-Einstein metrics: the three-dimensional case. Zbl 1279.32020
Chen, X.-X.; Donaldson, S. K.
4
2013
Remarks on \(G_2\)-manifolds with boundary. Zbl 1412.53042
Donaldson, Simon
3
2018
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
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.
3
2006
Boundary value problems in dimensions 7, 4 and 3 related to exceptional holonomy. Zbl 1466.53056
Donaldson, Simon
3
2018
Atiyah’s work on holomorphic vector bundles and gauge theories. Zbl 1476.14002
Donaldson, Simon
3
2021
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
Compactification and completion of Yang-Mills moduli spaces. Zbl 0705.53018
Donaldson, S. K.
3
1989
Integral bounds on curvature and Gromov-Hausdorff limits. Zbl 1308.53057
Chen, X.-X.; Donaldson, S. K.
2
2014
What is …a pseudoholomorphic curve? Zbl 1090.32015
Donaldson, Simon K.
2
2005
Moment maps and diffeomorphisms. Zbl 1106.53037
Donaldson, S. K.
2
2000
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
Karen Uhlenbeck and the calculus of variations. Zbl 1420.49001
Donaldson, Simon
2
2019
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
Deformations of multivalued harmonic functions. Zbl 1492.53084
Donaldson, Simon
2
2021
The Seiberg-Witten equations and almost-Hermitian geometry. Zbl 1004.53016
Donaldson, S. K.
2
2001
Gauge theory and four-manifold topology. Zbl 0855.57002
Donaldson, S. K.
2
1994
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
On the work of Andreas Floer. Zbl 0777.01010
Donaldson, S. K.
1
1993
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
6
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
49
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.
10
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
181
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
177
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
141
2015
Algebraic families of constant scalar curvature Kähler metrics. Zbl 1330.53093
Donaldson, Simon
10
2015
Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. Zbl 1318.53037
Donaldson, Simon; Sun, Song
77
2014
Kähler-Einstein metrics and stability. Zbl 1331.32011
Chen, Xiuxiong; Donaldson, Simon; Sun, Song
35
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.
110
2012
Stability, birational transformations and the Kähler-Einstein problem. Zbl 1382.32018
Donaldson, S. K.
25
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
20
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.
72
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.
61
2008
Extremal metrics on toric surfaces: a continuity method. Zbl 1151.53030
Donaldson, S. K.
48
2008
Numerical approximations to extremal metrics on toric surfaces. Zbl 1153.53318
Bunch, R. S.; Donaldson, Simon K.
6
2008
Some problems in differential geometry and topology. Zbl 1146.57301
Donaldson, S. K.
5
2008
Two-forms on four-manifolds and elliptic equations. Zbl 1140.58018
Donaldson, S. K.
54
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.
3
2006
Lower bounds on the Calabi functional. Zbl 1149.53042
Donaldson, S. K.
92
2005
Interior estimates for solutions of Abreu equation. Zbl 1085.53063
Donaldson, S. K.
58
2005
Scalar curvature and projective embeddings. II. Zbl 1159.32012
Donaldson, S. K.
57
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.
16
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.
32
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.
10
2003
Scalar curvature and stability of toric varieties. Zbl 1074.53059
Donaldson, S. K.
278
2002
Floer homology groups in Yang-Mills theory. Zbl 0998.53057
Donaldson, S. K.
95
2002
Holomorphic discs and the complex Monge-Ampère equation. Zbl 1035.53102
Donaldson, S. K.
34
2002
Scalar curvature and projective embeddings. I. Zbl 1052.32017
Donaldson, S. K.
202
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.
124
1999
Lefschetz pencils on symplectic manifolds. Zbl 1040.53094
Donaldson, S. K.
74
1999
Moment maps and diffeomorphisms. Zbl 0999.53053
Donaldson, S. K.
55
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.
123
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.
46
1997
Symplectic submanifolds and almost-complex geometry. Zbl 0883.53032
Donaldson, S. K.
92
1996
The Seiberg-Witten equations and 4-manifold topology. Zbl 0872.57023
Donaldson, S. K.
46
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.
56
1992
The geometry of four-manifolds. Zbl 0820.57002
Donaldson, S. K.; Kronheimer, P. B.
534
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.
64
1989
Connected sums of self-dual manifolds and deformations of singular spaces. Zbl 0671.53029
Donaldson, S.; Friedman, R.
46
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.
153
1987
Twisted harmonic maps and the self-duality equations. Zbl 0634.53046
Donaldson, S. K.
140
1987
The orientation of Yang-Mills moduli spaces and 4-manifold topology. Zbl 0683.57005
Donaldson, S.
124
1987
Irrationality and the h-cobordism conjecture. Zbl 0631.57010
Donaldson, S. K.
69
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.
320
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
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Cited by 2,453 Authors

49 Biswas, Indranil
27 García-Prada, Oscar
27 Tian, Gang
27 Zhang, Xi
26 Chen, Xiuxiong
24 Loi, Andrea
21 Popov, Alexander D.
20 Berman, Robert J.
19 Li, Chi
18 Lechtenfeld, Olaf
18 Sheng, Li
17 Arezzo, Claudio
17 Xu, Chenyang
16 El Naschie, Mohamed Saladin
16 Sun, Song
16 Székelyhidi, Gábor
15 Darvas, Tamás
15 Donaldson, Simon Kirwan
15 Hurtubise, Jacques C.
15 Li, An-Min
15 Liu, Yuchen
15 Song, Jian
15 Szabo, Zoltan
15 Teleman, Andrei-Dumitru
14 Muñoz Velázquez, Vicente
13 Akhmedov, Anar
13 Baykur, Refik İnanç
13 Feehan, Paul M. N.
13 Fujita, Kento
13 Huang, Teng
13 Lisca, Paolo
13 Oliveira, Goncalo
12 Boucksom, Sébastien
12 He, Weiyong
12 Jardim, Marcos
12 Joyce, Dominic David
12 LeBrun, Claude R.
12 Odaka, Yuji
12 Ross, Julius
12 Rubinstein, Yanir A.
12 Tipler, Carl
12 Wentworth, Richard A.
12 Yau, Shing-Tung
11 Anderson, Lara B.
11 Baraglia, David
11 Biquard, Olivier
11 Cheltsov, Ivan Anatol’evich
11 Gasparim, Elizabeth
11 Keller, Julien
11 Leness, Thomas G.
11 Li, Jiayu
11 Moore, Gregory Winthrop
11 Ovrut, Burt A.
11 Ozsváth, Peter Steven
11 Svanes, Eirik Eik
11 Zhang, Chuanjing
11 Zhu, Xiaohua
10 Apostolov, Vestislav
10 Ashmore, Anthony
10 Berndtsson, Bo
10 Boyer, Charles P.
10 Bruzzo, Ugo
10 Buchdahl, Nicholas P.
10 Dervan, Ruadhaí
10 Huang, Hongnian
10 Konno, Hokuto
10 Legendre, Eveline
10 Park, B. Doug
10 Ruberman, Daniel
10 Smith, Ivan
10 Stipsicz, András I.
10 Zedda, Michela
10 Zhang, Pan
10 Zhou, Bin
10 Zuddas, Fabio
9 Bradlow, Steven B.
9 Chen, Bohui
9 Garcia-Fernandez, Mario
9 Ivanova, Tatiana A.
9 Kotschick, Dieter
9 Kronheimer, Peter Benedict
9 Ma, Xiaonan
9 Mabuchi, Toshiki
9 Qin, Zhenbo
9 Sergeev, Armen Glebovich
9 Simpson, Carlos Tschudi
9 Singer, Michael A.
9 Szabo, Richard J.
9 Tsukamoto, Masaki
9 Verbitsky, Misha
9 Walpuski, Thomas
9 Wang, Yuanqi
9 Wehrheim, Katrin
9 Woodward, Christopher T.
9 Zhuang, Ziquan
8 Collins, Tristan Clifford
8 Datar, Ved V.
8 de Borbon, Martin
8 Feng, Zhiming
8 Franco, Emilio
...and 2,353 more Authors
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Cited in 286 Serials

168 Advances in Mathematics
142 Communications in Mathematical Physics
140 Journal of Geometry and Physics
130 Journal of High Energy Physics
108 Mathematische Annalen
101 Geometry & Topology
86 Transactions of the American Mathematical Society
84 The Journal of Geometric Analysis
81 Inventiones Mathematicae
81 Mathematische Zeitschrift
68 Duke Mathematical Journal
62 Nuclear Physics. B
60 Topology and its Applications
54 International Journal of Mathematics
53 Proceedings of the American Mathematical Society
52 Annals of Global Analysis and Geometry
44 Calculus of Variations and Partial Differential Equations
44 Algebraic & Geometric Topology
39 Journal für die Reine und Angewandte Mathematik
38 Differential Geometry and its Applications
33 Annales de l’Institut Fourier
33 Bulletin of the American Mathematical Society. New Series
31 Journal of Functional Analysis
30 Letters in Mathematical Physics
28 Geometriae Dedicata
27 Journal of Mathematical Physics
27 Manuscripta Mathematica
27 Journal of the American Mathematical Society
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
25 Annals of Mathematics. Second Series
24 Geometric and Functional Analysis. GAFA
23 Compositio Mathematica
22 Journal of the London Mathematical Society. Second Series
22 International Journal of Geometric Methods in Modern Physics
21 Journal of the European Mathematical Society (JEMS)
20 Chaos, Solitons and Fractals
19 Journal of Mathematical Analysis and Applications
18 Journal of the Mathematical Society of Japan
18 Complex Manifolds
17 Journal of Differential Geometry
17 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
16 Selecta Mathematica. New Series
16 Acta Mathematica Sinica. English Series
16 Journal of Topology
15 International Journal of Modern Physics A
14 Physics Letters. B
14 Publications Mathématiques
14 Memoirs of the American Mathematical Society
14 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
14 Communications in Contemporary Mathematics
14 Science China. Mathematics
13 Michigan Mathematical Journal
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 Bulletin of the London Mathematical Society
11 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Journal of Algebra
10 Pacific Journal of Mathematics
10 Proceedings of the Japan Academy. Series A
10 Proceedings of the London Mathematical Society. Third Series
10 Journal of Algebraic Geometry
10 Oberwolfach Reports
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 European Journal of Mathematics
7 Reviews in Mathematical Physics
7 Mathematische Nachrichten
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 Journal of Knot Theory and its Ramifications
7 Japanese Journal of Mathematics. 3rd Series
7 Forum of Mathematics, Sigma
7 Journal de l’École Polytechnique – Mathématiques
6 Analysis Mathematica
6 Mathematical Notes
6 Theoretical and Mathematical Physics
6 Bulletin de la Société Mathématique de France
6 Glasgow Mathematical Journal
6 Journal of Differential Equations
6 Journal of Geometry
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Revista Matemática Iberoamericana
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
5 Communications on Pure and Applied Mathematics
5 International Journal of Theoretical Physics
5 Rocky Mountain Journal of Mathematics
...and 186 more Serials
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Cited in 58 Fields

1,544 Differential geometry (53-XX)
956 Algebraic geometry (14-XX)
918 Several complex variables and analytic spaces (32-XX)
776 Manifolds and cell complexes (57-XX)
631 Global analysis, analysis on manifolds (58-XX)
565 Quantum theory (81-XX)
239 Partial differential equations (35-XX)
140 Relativity and gravitational theory (83-XX)
96 Algebraic topology (55-XX)
81 Functions of a complex variable (30-XX)
61 Dynamical systems and ergodic theory (37-XX)
52 Mechanics of particles and systems (70-XX)
46 Group theory and generalizations (20-XX)
35 Associative rings and algebras (16-XX)
32 Number theory (11-XX)
30 Nonassociative rings and algebras (17-XX)
29 Topological groups, Lie groups (22-XX)
29 Functional analysis (46-XX)
29 Probability theory and stochastic processes (60-XX)
23 General and overarching topics; collections (00-XX)
21 Category theory; homological algebra (18-XX)
21 Operator theory (47-XX)
20 History and biography (01-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 Computer science (68-XX)
10 Geometry (51-XX)
10 Numerical analysis (65-XX)
9 Potential theory (31-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Combinatorics (05-XX)
8 Ordinary differential equations (34-XX)
8 Fluid mechanics (76-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 Information and communication theory, circuits (94-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 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year

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