**An Introduction to Algebraic Surgery**

by Andrew Ranicki

**Publisher**: arXiv 2000**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.

Download or read it online for free here:

**Download link**

(550KB, PDF)

## Similar books

**The Geometry of Iterated Loop Spaces**

by

**J. P. May**-

**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.

(

**6109**views)

**Higher Topos Theory**

by

**Jacob Lurie**-

**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.

(

**7260**views)

**Geometry of 2D Topological Field Theories**

by

**Boris Dubrovin**-

**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.

(

**7587**views)

**Lectures on Etale Cohomology**

by

**J. S. Milne**

These are the notes for a course taught at the University of Michigan in 1989 and 1998. The emphasis is on heuristic arguments rather than formal proofs and on varieties rather than schemes. The notes also discuss the proof of the Weil conjectures.

(

**5155**views)