**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.

Download or read it online for free here:

**Download link**

(2.7MB, PDF)

## Similar books

**Lectures on the Geometry of Manifolds**

by

**Liviu I. Nicolaescu**-

**World Scientific Publishing Company**

An introduction to the most frequently used techniques in modern global geometry. Suited to the beginning graduate student, the necessary prerequisite is a good knowledge of several variables calculus, linear algebra and point-set topology.

(

**12464**views)

**Math That Makes You Go Wow**

by

**M. Boittin, E. Callahan, D. Goldberg, J. Remes**-

**Ohio State University**

This is an innovative project by a group of Yale undergraduates: A Multi-Disciplinary Exploration of Non-Orientable Surfaces. The course is designed to be included as a short segment in a late middle school or early high school math course.

(

**14872**views)

**Lectures on Polyhedral Topology**

by

**John R. Stallings**-

**Tata Institute of Fundamental Research**

These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.

(

**9177**views)

**E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra**

by

**J. P. May**-

**Springer**

The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.

(

**11953**views)