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. Recognition for this work includes the award of the Fields Medal of the International Congress of Mathematicians to Freedman in 1986. In Topology of 4-Manifolds these authors have collaborated to give a complete and accessible account of the current state of knowledge in this field. The basic material has been considerably simplified from the original publications, and should be accessible to most graduate students. The advanced material goes well beyond the literature; nearly one-third of the book is new. This work is indispensable for any topologist whose work includes four dimensions. It is a valuable reference for geometers and physicists who need an awareness of the topological side of the field. Originally published in 1990.
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- ISBN10 0691602891
- ISBN13 9780691602899
- Publish Date 14 July 2014 (first published 18 April 1990)
- Publish Status Active
- Publish Country US
- Imprint Princeton University Press
- Format Paperback (US Trade)
- Pages 268
- Language English
- URL https://press.princeton.edu/titles/4632.html