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: Homotopy Theories and Model CategoriesHomotopy Theories and Model Categories
by - University of Notre Dame
This paper is an introduction to the theory of model categories. The prerequisites needed for understanding this text are some familiarity with CW-complexes, chain complexes, and the basic terminology associated with categories.
(8373 views)
Book cover: Higher Topos TheoryHigher Topos Theory
by - Princeton University Press
Jacob Lurie presents the foundations of higher category theory, using the language of weak Kan complexes, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
(12337 views)
Book cover: The Geometry of Iterated Loop SpacesThe Geometry of Iterated Loop Spaces
by - Springer
A paper devoted to the study of iterated loop spaces. Our goal is to develop a simple and coherent theory which encompasses most of the known results about such spaces. We begin with some history and a description of the desiderata of such a theory.
(9655 views)
Book cover: Lectures on Introduction to Algebraic TopologyLectures on Introduction to Algebraic Topology
by - Tata Institute of Fundamental Research
These notes were intended as a first introduction to algebraic Topology. Contents: Definition and general properties of the fundamental group; Free products of groups and their quotients; On calculation of fundamental groups; and more.
(8611 views)