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
CDBooK: Introduction to Vassiliev Knot invariantsby S.Chmutov, S.Duzhin, J.Mostovoy - Ohio State Universit
An introduction to the theory of finite type (Vassiliev) knot invariants, with a stress on its combinatorial aspects. Written for readers with no background in this area, and we care more about the basic notions than about more advanced material.
(10299 views)
Math That Makes You Go Wowby 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.
(13828 views)
Knot Diagrammaticsby Louis H. Kauffman - arXiv
This paper is a survey of knot theory and invariants of knots and links from the point of view of categories of diagrams. The topics range from foundations of knot theory to virtual knot theory and topological quantum field theory.
(5909 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.
(8561 views)