Modern geometry : a celebration of the work of Simon Donaldson /

Donaldson, S. K.

Manifolds (Mathematics)

Four-manifolds (Topology)

Geometry.

Topology.

Several complex variables and analytic spaces > Compact analytic spaces > Transcendental methods of algebraic geometry.

Several complex variables and analytic spaces > Holomorphic fiber spaces > Holomorphic bundles and generalizations.

Differential geometry > Global differential geometry > Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills)

Differential geometry > Global differential geometry > Geometric evolution equations (mean curvature flow, Ricci flow, etc.)

Differential geometry > Symplectic geometry, contact geometry > Global theory of symplectic and contact manifolds.

Differential geometry > Symplectic geometry, contact geometry > Floer homology and cohomology, symplectic aspects.

Differential geometry > Symplectic geometry, contact geometry > Geometric quantization.

Manifolds and cell complexes > Differential topology > Differentiable structures.

Manifolds and cell complexes > Differential topology > Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants.

Manifolds and cell complexes > Differential topology > Floer homology.