
Geometry of Surfaces
by Nigel Hitchin
2013
Number of pages: 101
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
(2.2MB, PDF)
Similar books
Geometric Topology: Localization, Periodicity and Galois Symmetryby Dennis Sullivan - Springer
In 1970, Sullivan circulated this set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts. The notes remain worth reading for the fresh picture they provide for geometric topology.
(11684 views)
E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectraby 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.
(13798 views)
Notes on String Topologyby 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.
(11586 views)
Algebraic L-theory and Topological Manifoldsby A. A. Ranicki - Cambridge University Press
Assuming no previous acquaintance with surgery theory and justifying all the algebraic concepts used by their relevance to topology, Dr Ranicki explains the applications of quadratic forms to the classification of topological manifolds.
(11448 views)