Logo

An Introduction to Algebraic Surgery

Small book cover: An Introduction to Algebraic Surgery

An Introduction to Algebraic Surgery
by

Publisher: arXiv
Number of pages: 82

Description:
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory (such as the Wall surgery obstruction groups), without losing sight of the geometric motivation.

Home page url

Download or read it online for free here:
Download link
(550KB, PDF)

Similar books

Book cover: Differential Forms and Cohomology: CourseDifferential Forms and Cohomology: Course
by - Intelligent Perception
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.
(8371 views)
Book cover: Geometry of 2D Topological Field TheoriesGeometry of 2D Topological Field Theories
by - arXiv
These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.
(12917 views)
Book cover: Manifold TheoryManifold Theory
by - UCLA
These notes are a supplement to a first year graduate course in manifold theory. These are the topics covered: Manifolds (Smooth Manifolds, Projective Space, Matrix Spaces); Basic Tensor Analysis; Basic Cohomology Theory; Characteristic Classes.
(9209 views)
Book cover: The Adams-Novikov Spectral Sequence and the Homotopy Groups of SpheresThe Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres
by - Northwestern University
Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.
(11595 views)