In the middle of the last century, after hearing a talk of Mostow on one of his rigidity theorems, Borel conjectured in a letter to Serre a purely topological v

Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.

This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book fe

Intersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on pseudoholomorphic curves, lead

Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.