Title: Modern Geometry
Subjects: Manifolds (mathematics), Topology, Geometry, Manifolds (Mathematics), Four-manifolds (Topology), Several complex variables and analytic spaces, Compact analytic spaces, Transcendental methods of algebraic geometry, Holomorphic fiber spaces, Holomorphic bundles and generalizations, Differential geometry, Global differential geometry, Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills), Geometric evolution equations (mean curvature flow, Ricci flow, etc.), Symplectic geometry, contact geometry, Global theory of symplectic and contact manifolds, Floer homology and cohomology, symplectic aspects, Geometric quantization, Manifolds and cell complexes, Differential topology, Differentiable structures, Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants, Floer homology, 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