List of works - Simon Donaldson

<i>New Developments in the Theory of Knots; The Geometry and Physics of Knots; The Geometry of Four-Manifolds</i>

scientific article published in 1992

A new proof of a theorem of Narasimhan and Seshadri

scientific article published in 1983

Algebraic families of constant scalar curvature Kähler metrics

scientific article published in 2014

An application of gauge theory to four-dimensional topology

scientific article published in 1983

Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles

scientific article published in 1985

Associative submanifolds and gradient cycles

scientific article published in 2019

Atiyah’s work on holomorphic vector bundles and gauge theories

scientific article published in 2021

Connections, cohomology and the intersection forms of 4-manifolds

scientific article published in 1986

Constant Scalar Curvature Metrics on Toric Surfaces

scientific article published in 2009

DIFFERENTIAL GEOMETRY OF COMPLEX VECTOR BUNDLES

scientific article published in 1989

Extremal metrics on toric surfaces: a continuity method

scientific article published in 2008

Floer’s work on instanton homology, knots and surgery

Gauge theory in higher dimensions, II

scientific article published in 2011

Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry

scholarly article by Simon Donaldson & Song Sun published 2014 in Acta Mathematica

Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II

scientific article published in 2017

Infinite determinants, stable bundles and curvature

scientific article published in 1987

Instantons and geometric invariant theory

Integral bounds on curvature and Gromov-Hausdorff limits

scientific article published in 2013

Irrationality and the $h$-cobordism conjecture

scientific article published in 1987

Isadore M. Singer (1924–2021) In Memoriam Part 1: Scientific Works

scientific article published in 2022

Karen Uhlenbeck and the Calculus of Variations

scientific article published in March 2019

Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities

scholarly article

Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than $2\pi $

article by Xiuxiong Chen et al published 28 March 2014 in Journal of the American Mathematical Society

Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches $2\pi $ and completion of the main proof

scholarly article

Kähler–Einstein Metrics and Stability

Kähler–Einstein metrics and algebraic structures on limit spaces

scientific article published in 2016

Lefschetz pencils and the canonical class for symplectic four-manifolds

scientific article published in 2003

Lefschetz pencils on symplectic manifolds

scientific article published in 1999

Lower bounds on the Calabi functional

scientific article published in 2005

Memories of Sir Michael Atiyah

scientific article published in 2019

Moment map and diffeomorphisms

scientific article published in 2002

Moment maps in differential geometry

scientific article published in 2003

Polynomial invariants for smooth four-manifolds

Quasiconformal 4-manifolds

scientific article published in 1989

Remarks on $G_2$-manifolds with boundary

scientific article published in 2017

Riemann Surfaces

scholarly article

SURVEYS IN DIFFERENTIAL GEOMETRY (Supplement to the Journal of Differential Geometry 1)

scientific article published in 1995

Scalar Curvature and Projective Embeddings, I

scientific article published in 2001

Scalar Curvature and Stability of Toric Varieties

scientific article published in 2002

Self-dual connections and the topology of smooth 4-manifolds

Singular Lefschetz pencils

scientific article published in 2005

Some Numerical Results in Complex Differential Geometry

scientific article published in 2009

Some problems in differential geometry and topology

scientific article published in 2008

Stability, birational transformations, and the Kähler-Einstein problem

scientific article published in 2012

Symplectic submanifolds and almost-complex geometry

scientific article published in 1996

THE FLOER MEMORIAL VOLUME (Progress in Mathematics 133)

scholarly article

The Seiberg-Witten equations and 4-manifold topology

The Yang-Mills equations on Kahler manifolds ⬇️

doctoral thesis by S. K. Donaldson

The approximation of instantons

scientific article published in 1993

The orientation of Yang-Mills moduli spaces and 4-manifold topology

scientific article published in 1987

Volume estimates for Kähler-Einstein metrics and rigidity of complex structures

scientific article published in 2013

Volume estimates for Kähler-Einstein metrics: The three-dimensional case

scientific article published in 2013

Yau and differential geometry

scientific article published in 2019

List of works by Simon Donaldson

<i>New Developments in the Theory of Knots; The Geometry and Physics of Knots; The Geometry of Four-Manifolds</i>

A new proof of a theorem of Narasimhan and Seshadri

Algebraic families of constant scalar curvature Kähler metrics

An application of gauge theory to four-dimensional topology

Anti Self‐Dual Yang‐Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles

Associative submanifolds and gradient cycles

Atiyah’s work on holomorphic vector bundles and gauge theories

Connections, cohomology and the intersection forms of 4-manifolds

Constant Scalar Curvature Metrics on Toric Surfaces

DIFFERENTIAL GEOMETRY OF COMPLEX VECTOR BUNDLES

Extremal metrics on toric surfaces: a continuity method

Floer’s work on instanton homology, knots and surgery

Gauge theory in higher dimensions, II

Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry

Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II

Infinite determinants, stable bundles and curvature

Instantons and geometric invariant theory

Integral bounds on curvature and Gromov-Hausdorff limits

Irrationality and the $h$-cobordism conjecture

Isadore M. Singer (1924–2021) In Memoriam Part 1: Scientific Works

Karen Uhlenbeck and the Calculus of Variations

Kähler-Einstein metrics on Fano manifolds. I: Approximation of metrics with cone singularities

Kähler-Einstein metrics on Fano manifolds. II: Limits with cone angle less than $2\pi $

Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches $2\pi $ and completion of the main proof

Kähler–Einstein Metrics and Stability

Kähler–Einstein metrics and algebraic structures on limit spaces

Lefschetz pencils and the canonical class for symplectic four-manifolds

Lefschetz pencils on symplectic manifolds

Lower bounds on the Calabi functional

Memories of Sir Michael Atiyah

Moment map and diffeomorphisms

Moment maps in differential geometry

Polynomial invariants for smooth four-manifolds

Quasiconformal 4-manifolds

Remarks on $G_2$-manifolds with boundary

Riemann Surfaces

SURVEYS IN DIFFERENTIAL GEOMETRY (Supplement to the Journal of Differential Geometry 1)

Scalar Curvature and Projective Embeddings, I

Scalar Curvature and Stability of Toric Varieties

Self-dual connections and the topology of smooth 4-manifolds

Singular Lefschetz pencils

Some Numerical Results in Complex Differential Geometry

Some problems in differential geometry and topology

Stability, birational transformations, and the Kähler-Einstein problem

Symplectic submanifolds and almost-complex geometry

THE FLOER MEMORIAL VOLUME (Progress in Mathematics 133)

The Seiberg-Witten equations and 4-manifold topology

The Yang-Mills equations on Kahler manifolds ⬇️

The approximation of instantons

The orientation of Yang-Mills moduli spaces and 4-manifold topology

Volume estimates for Kähler-Einstein metrics and rigidity of complex structures

Volume estimates for Kähler-Einstein metrics: The three-dimensional case

Yau and differential geometry