ADHM construction - A-hat genus - A-hat polynomial - ALE space - anti-self-dual connection - anti-self-duality equations - Arakelov geometry - Atiyah conjecture on configurations - Atiyah-Hirzebruch spectral sequence - Baxter-Perk curve - Berry-Robbins problem - Bogomolny equations - Borel construction - BPS monopole - braid relation - Brieskorn-Grothendieck resolution - Calabi conjecture - Casson invariant - Cayley plane - Chern-Simons functional - Chern-Simons Lagrangian - chordal variety - Coxeter-Todd lattice - cyclic singularity - determinant line-bundle - discrete series - Donaldson invariant - Donaldson parametrization - Donaldson polynomial - Duistermaat-Heckman formula - Dynkin index - Eilenberg swindle - elliptic cohomology - Elliptic genus - equivariant cohomology - equivariant Euler class - Equivariant K-theory - equivariant signature theorem - eta-invariant - framing of a manifold - 2-framing - Freudenthal's magic square - Frobenius algebra - G-signature theorem - Gibbins-Hawking construction - Global anomaly - graded Brauer group - Harmonic spinor - Hartshorne ellipse - Hecke algebra - Hermitian symmetric space - Higgs bundle - Higgs field - Hilbert scheme - Hirzebruch L-polynomial - Hirzebruch signature theorem - Hitchin moduli space - homogeneous symplectic manifold - Hopf line bundle - hypercohomology group - hyperkähler moment map - hyperkähler quotient - hypocontinuous - index theorem for families - instanton - instanton moduli space - isoparametric function - isotropy group - James problem - Jones-Witten invariant - K-homology theory - Kähler-Einstein manifold - Kähler quotient - Kleinian singularity - KR-theory - Kronheimer- Mrowka basic class - lacuna of a hyperbolic equation - Lebrun manifold - linear sigma model - local coefficient system - loop space of a Lie group - magnetic charge - Mathai-Quillen form - metasymplectic geometry - mirror symmetry - Moduli space of representations - monopole moduli space - Mukai transform - Mumford quotient - Nahm complex - Nahm duality principle - Nahm's equation - Nahm matrix - Nahm transform - Narasimhan-Seshadri theorem - nilpotent orbit - normal degree - octonion projective plane - orientifold string theory - Penrose transform - Pontryagin form - positive mass conjecture - Prasad-Sommerfield monopole - Projective bundle - projective flatness - quantizaton of electric charge - quantum cohomology - quantum cohomology ring - Poncelet condition - principal homomorphism - projective bundle - projective Hilbert bundle - Quillen line-bundle - Ramond-Ramond flux - rational double point - real dimension of a von Neumann algebra - Reidemeister torsion - Seiberg-Witten duality - Seiberg-Witten equations - self-dual connection - Self-dual Yang-Mills equations - Severi property - Severi variety - Shimizu L-function - sigma-model - signature cocycle - signature of a manifold - signature operator - singular defect - Skyrme field - Spectral curve - Springer representation - stable vector bundle - string theory Euler number - Stunted projective space - subregular orbit - Surgery formula - symplectic quotient - Tammes problem - Taub-NUT metric - tensor product of Hilbert spaces - Thom class - three-point function - Todd-Eger class - TQFT - Teleparallelism - Twisted K-theory - Verlinde algebra - Verlinde ring - Weil algebra - Yang-Mills moduli space - Zak's theorem - Zero-rest-mass field equations - zeta-function of an elliptic operator - Zeuthen-Segre invariant