**Geometry of Surfaces**

by Nigel Hitchin

2004

**Description**:

This is a course on surfaces. However we are also going to try and consider surfaces intrinsically, or abstractly, and
not necessarily embedded in three-dimensional Euclidean space.

Download or read it online for free here:

**Download link**

(ZIP/PDF)

## Similar books

**Notes on String Topology**

by

**Ralph L. Cohen, Alexander A. Voronov**-

**arXiv**

This paper is an exposition of the new subject of String Topology. We present an introduction to this exciting new area, as well as a survey of some of the latest developments, and our views about future directions of research.

(

**7211**views)

**Four-manifolds, Geometries and Knots**

by

**Jonathan Hillman**-

**arXiv**

The goal of the 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 knots.

(

**8034**views)

**The Geometry and Topology of Three-Manifolds**

by

**William P Thurston**-

**Mathematical Sciences Research Institute**

The text describes the connection between geometry and lowdimensional topology, it is useful to graduate students and mathematicians working in related fields, particularly 3-manifolds and Kleinian groups. Much of the material or technique is new.

(

**13929**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.

(

**8501**views)