The Algebraic Characterization of Geometric 4-Manifolds (London Mathematical Society Lecture Note Series, Series Number 198)

This Book Describes Work, Largely That Of The Author, On The Characterization Of Closed 4-manifolds In Terms Of Familiar Invariants Such As Euler Characteristic, Fundamental Group, And Stiefel–whitney Classes. Using Techniques From Homological Group Theory, The Theory Of 3-manifolds And Topological Surgery, Infrasolvmanifolds Are Characterized Up To Homeomorphism, And Surface Bundles Are Characterized Up To Simple Homotopy Equivalence. Non-orientable Cases Are Also Considered Wherever Possible, And In The Final Chapter The Results Obtained Earlier Are Applied To 2-knots And Complex Analytic Surfaces. This Book Is Essential Reading For Anyone Interested In Low-dimensional Topology. J.a. Hillman. Includes Bibliographical Reference (p. 160-168) And Index.