Books written by Michael H. Freedman.
In 1986, Freedman was awarded the Fields Medal for his work on the 4-dimensional generalized Poincaré conjecture.
Topology of 4-Manifolds
One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively.
Selected Applications of Geometry to Low-Dimensional Topology
By the late 1950s, algebra and topology had produced a successful and beautiful fusion. Geometric methods and insight, now vitally important in topology, encompass analytic objects such as instantons and minimal surfaces, as well as nondifferentiable constructions. Keeping technical details to a minimum, the authors lead the reader on a fascinating exploration of several developments in geometric topology.