Looks at the role of the fundamental group in determining the topology of a given 3-manifold. This title covers the essential ideas and techniques such as: Heegaard splittings, connected sums, the loop and sphere theorems, incompressible surfaces, and free groups. It concludes with a list of problems.

3-Manifolds 2005, American Mathematical Society(RI)

ISBN-13: 9780821836958

Revised edition


3-Manifolds 1976, Princeton University Press, Princeton, NJ

ISBN-13: 9780691081830

Trade paperback