S. Donaldson

发表

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

S. Donaldson, 1983 .

Geometry of four-manifolds

S. Donaldson, 1990 .

An application of gauge theory to four-dimensional topology

S. Donaldson, 1983 .

On the topology of algebraic surfaces

Robert E. Gompf, S. Donaldson, C. Thomas, 1991 .

Fe b 20 09 Gauge theory in higher dimensions , II

S. Donaldson, 2021 .

Gauge Theory in higher dimensions, II

S. Donaldson, Ed Segal, E. Segal, 2009, 0902.3239.

Memories of Sir Michael Atiyah

S. Donaldson, N. Hitchin, E. Witten, 2019 .

Scalar Curvature and Stability of Toric Varieties

S. Donaldson, 2002 .

Floer Homology Groups in Yang-Mills Theory

S. Donaldson, D. Kotschick, M. Furuta, 2002 .

Gauge Theory and Four-Manifold Topology

S. Donaldson, 1994 .

A journey through the mathematical world of Karen Uhlenbeck

S. Donaldson, 2022, 2205.08970.

Nahm's equations and free-boundary problems

S. Donaldson, 2007, 0709.0184.

Fredholm topology and enumerative geometry: reflections on some words of Michael Atiyah

S. Donaldson, 2022, 2205.08624.

Toric Anti-self-dual 4-manifolds Via Complex Geometry

S. Donaldson, J. Fine, 2006, math/0602423.

Geometry of Low-Dimensional Manifolds

S. Donaldson, C. Thomas, 1991 .

Associative submanifolds and gradient cycles

S. Donaldson, Christopher Scaduto, 2020, Surveys in Differential Geometry.

Adiabatic Limits of Co-associative Kovalev–Lefschetz Fibrations

S. Donaldson, 2016, 1603.08391.

Infinite determinants, stable bundles and curvature

S. Donaldson, 1987 .

Some numerical results in complex differential geometry

S. Donaldson, 2005, math/0512625.

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

S. Donaldson, 1987 .

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

S. Donaldson, Song Sun, Xiuxiong Chen, 2012, 1212.4714.

Calabi-Yau metrics on Kummer surfaces as a model glueing problem

S. Donaldson, 2010, 1007.4218.

Lefschetz pencils and the canonical class for symplectic four-manifolds

S. Donaldson, I. Smith, 2000, math/0012067.

Lectures on Lie groups and geometry

S. Donaldson, 2008 .

Interior estimates for solutions of Abreu's equation

S. Donaldson, 2004, math/0407486.

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

S. Donaldson, 1985 .

Instantons and geometric invariant theory

S. Donaldson, 1984 .

Nahm's equations and the classification of monopoles

S. Donaldson, S. K. Donaldson, Simon Donaldson, 1984 .

Polynomial invariants for smooth four-manifolds

S. Donaldson, 1990 .

Connected sums of self-dual manifolds and deformations of singular spaces

S. Donaldson, R. Friedman, 1989 .

Lefschetz pencils on symplectic manifolds

S. Donaldson, 1999 .

Moment maps and diffeomorphisms

S. Donaldson, 2002 .

Integral bounds on curvature and Gromov–Hausdorff limits

S. Donaldson, X-X. Chen, 2011, 1112.1594.

Twisted harmonic maps and the self-duality equations

S. Donaldson, 1987 .

Boundary value problems for Yang—Mills fields

S. Donaldson, 1992 .

A new proof of a theorem of Narasimhan and Seshadri

S. Donaldson, Simon Donaldson, 1983 .

Scalar Curvature and Projective Embeddings, I

S. Donaldson, 2001 .

Pin structures on low-dimensional manifolds

S. Donaldson, R. Kirby, C. Thomas, 1991 .

4-MANIFOLDS AND KIRBY CALCULUS (Graduate Studies in Mathematics 20) By R OBERT E. G OMPF and A NDRÁS I. S TIPSICZ : 558 pp., US$65.00, ISBN 0-8218-0994-6 (American Mathematical Society, Providence, RI, 1999).

S. Donaldson, 2001 .

Karen Uhlenbeck and the Calculus of Variations

S. Donaldson, 2019, Notices of the American Mathematical Society.

The Yang-Mills equations on Kahler manifolds

S. Donaldson, 1982 .

Deformations Of Multivalued Harmonic Functions

S. Donaldson, 2019, The Quarterly Journal of Mathematics.

Two-forms on four-manifolds and elliptic equations

S. Donaldson, 2006, math/0607083.

Atiyah’s work on holomorphic vector bundles and gauge theories

S. Donaldson, 2021, Bulletin of the American Mathematical Society.

MATHEMATICAL USES OF GAUGE THEORY

S. Donaldson, 2008 .

Gauge Theory: Mathematical Applications

S. Donaldson, 2006 .

Numerical approximations to extremal metrics on toric surfaces

S. Donaldson, R. Bunch, 2008, 0803.0987.

Differential Geometric Methods in Low-dimensional Topology

S. Donaldson, 2008 .

Singular Lefschetz pencils

S. Donaldson, D. Auroux, L. Katzarkov, 2004, math/0410332.

Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves

S. Donaldson, D. Auroux, L. Katzarkov, 2002, math/0206005.

Irrationality and the $h$-cobordism conjecture

S. Donaldson, 1987 .

DIFFERENTIAL GEOMETRY OF COMPLEX VECTOR BUNDLES

S. Donaldson, Simon Donaldson, 1989 .

The Seiberg-Witten equations and 4-manifold topology

S. Donaldson, 1996 .

Floer’s work on instanton homology, knots and surgery

S. Donaldson, P. Braam, 1995 .

Symplectic submanifolds and almost-complex geometry

S. Donaldson, 1996 .

Connections, cohomology and the intersection forms of 4-manifolds

S. Donaldson, S. K. Donaldson, 1986 .

Some problems in differential geometry and topology

S. Donaldson, 2008 .

Kahler-Einstein metrics on Fano manifolds, I: approximation of metrics with cone singularities

S. Donaldson, Song Sun, Xiuxiong Chen, 2012, 1211.4566.

Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2\pi\ and completion of the main proof

S. Donaldson, Song Sun, Xiuxiong Chen, 2013, 1302.0282.

Kahler-Einstein metrics and stability

S. Donaldson, Song Sun, Xiuxiong Chen, 2012, 1210.7494.

Lower bounds on the Calabi functional

S. Donaldson, 2005, math/0506501.

Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry

S. Donaldson, Song Sun, 2012, 1507.05082.

Rational and ruled symplectic 4-manifolds

S. Donaldson, C. Thomas, D. Mcduff, 1991 .

Quasiconformal 4-manifolds

D. Sullivan, S. Donaldson, 1989 .

SOME RECENT DEVELOPMENTS IN KÄHLER GEOMETRY AND EXCEPTIONAL HOLONOMY

S. Donaldson, 2018, Proceedings of the International Congress of Mathematicians (ICM 2018).

The Geometry of 4-Manifolds

S. Donaldson, 2010 .

IRRATIONALITY AND THE Λ-COBORDISM CONJECTURE

S. Donaldson, 2008 .

Stability of algebraic varieties and Kähler geometry

S. Donaldson, 2017, Algebraic Geometry: Salt Lake City 2015.

Extremal metrics on toric surfaces, I

S. Donaldson, 2006, math/0612120.

Scalar curvature and projective embeddings, II

S. Donaldson, 2004, math/0407534.

Holomorphic Discs and the Complex Mounge-Amperè equation

S. Donaldson, 2001 .

Kahler geometry on toric manifolds, and some other manifolds with large symmetry

S. Donaldson, 2008, 0803.0985.

Geometry of Low-dimensional Manifolds: Yang-Mills invariants of four-manifolds

S. Donaldson, 1991 .

Fundamental groups of complements of plane curves and symplectic invariants

S. Donaldson, D. Auroux, L. Katzarkov, 2002, math/0203183.

Topological Field Theories and formulae of Casson and Meng{Taubes

S. Donaldson, 1999, math/9911248.

REMARKS ON GAUGE THEORY, COMPLEX GEOMETRY AND 4-MANIFOLD TOPOLOGY

S. Donaldson, 1997 .

The Ding Functional, Berndtsson Convexity and Moment Maps

S. Donaldson, 2015, 1503.05173.

Lie Algebra Theory without Algebra

S. Donaldson, 2007, math/0702016.

Kähler Metrics with Cone Singularities Along a Divisor

S. Donaldson, 2011, 1102.1196.

Compactification and completion of Yang-Mills moduli spaces

S. Donaldson, 1989 .

Discussion of the Kähler-Einstein problem

S. Donaldson, 2009 .

Algebraic families of constant scalar curvature K\"ahler metrics

S. Donaldson, 2015, 1503.05174.

Stability, birational transformations and the Kahler-Einstein problem

S. Donaldson, 2010, 1007.4220.

Constant Scalar Curvature Metrics on Toric Surfaces

S. Donaldson, 2008, 0805.0128.

Extremal metrics on toric surfaces: a continuity method

S. Donaldson, 2008 .

Kahler-Einstein metrics and algebraic geometry

S. Donaldson, 2017, 1702.05748.

K\"ahler-Einstein metrics and algebraic structures on limit spaces

S. Donaldson, 2016, 1603.08444.

Complex curves and surgery

S. Donaldson, 1988 .

Fukaya-Floer homology and gluing formulae for polynomial invariants

S. Donaldson, P. Braam, 1995 .

CHAPTER 14 – One Hundred Years of Manifold Topology

S. Donaldson, 1999 .

Moment maps in differential geometry

S. Donaldson, 2003 .

The approximation of instantons

S. Donaldson, 1993 .

A note on the \alpha-invariant of the Mukai-Umemura 3-fold

S. Donaldson, 2007, 0711.4357.

Conjectures in Kahler geometry

S. Donaldson, 2008 .

Conjectures in Kaehler geometry

S. Donaldson, 2002 .

b-Stability and Blow-Ups

S. Donaldson, 2011, Proceedings of the Edinburgh Mathematical Society.

Remarks on $G_{2}$-manifolds with boundary

S. Donaldson, 2018, 1802.09694.

Different faces of geometry

S. Donaldson, M. Gromov, Y. Eliashberg, 2004 .