This important reference - based on the proceedings of the Special Session on Geometry and Physics held over a six-month period at the University of Aarhus, Denmark, and on articles from the summer school held at Odense University, Denmark - offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts, Geometry and Physics presents the Seiberg-Witten invariants that facilitate the solution of open problems in Donaldson's theory...describes applications of the Seiberg-Witten invariants...analyzes moduli spaces of semi-stable bundles over Riemann surfaces...addresses operator algebras and topology...demonstrates the planar topological aspects of subfactors...examines symplectic geometry and Einstein metrics...discusses novel ways of computing curvature and holonomy for the determinant line bundle...elucidates the new topic of finite type invariants of three-manifolds and relations with nonperturbative quantum invariants...delineates recent work on a purely topological approach to physics-inspired invariants...and much more. Generously illustrated and containing over 800 key bibliographic citations, Geometry and Physics is an indispensable resource for geometers, topologists, mathematical and theoretical physicists, and graduate-level students in these disciplines.