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
Ends of Complexesby Bruce Hughes, Andrew Ranicki - Cambridge University Press
The book gathers together the main strands of the theory of ends of manifolds from the last thirty years and presents a unified and coherent treatment of them. It also contains authoritative expositions of mapping tori and telescopes.
(9277 views)
Foliations and the Geometry of 3-manifoldsby Danny Calegari - Oxford University Press
The book gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.
(12114 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.
(9566 views)
Exotic Homology Manifoldsby Frank Quinn, Andrew Ranicki
Homology manifolds were developed in the 20th century to give a precise setting for Poincare's ideas on duality. They are investigated using algebraic and geometric methods. This volume is the proceedings of a workshop held in 2003.
(9077 views)