Four-manifolds, Geometries and Knots

Four-manifolds, Geometries and Knots
by Jonathan Hillman

Publisher: arXiv 2009
Number of pages: 396

Description:
The goal of this book is to characterize algebraically the closed 4-manifolds that fibre nontrivially or admit geometries in the sense of Thurston, or which are obtained by surgery on 2-knots, and to provide a reference for the topology of such manifolds and knots. The first chapter is purely algebraic. The rest of the book may be divided into three parts: general results on homotopy and surgery, geometries and geometric decompositions, and 2-knots.