**Manifold Theory**

by Peter Petersen

**Publisher**: UCLA 2010**Number of pages**: 77

**Description**:

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.

Download or read it online for free here:

**Download link**

(1MB, PDF)

## Similar books

**The Classification Theorem for Compact Surfaces**

by

**Jean Gallier, Dianna Xu**

In this book the authors present the technical tools needed for proving rigorously the classification theorem, give a detailed proof using these tools, and also discuss the history of the theorem and its various proofs.

(

**12491**views)

**Topics in topology: The signature theorem and some of its applications**

by

**Liviu I. Nicolaescu**-

**University of Notre Dame**

The author discusses several exciting topological developments which radically changed the way we think about many issues. Topics covered: Poincare duality, Thom isomorphism, Euler, Chern and Pontryagin classes, cobordisms groups, signature formula.

(

**7932**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.

(

**10785**views)

**Introduction to Characteritic Classes and Index Theory**

by

**Jean-Pierre Schneiders**-

**Universidade de Lisboa**

This text deals with characteristic classes of real and complex vector bundles and Hirzebruch-Riemann-Roch formula. We will present a few basic but fundamental facts which should help the reader to gain a good idea of the mathematics involved.

(

**7897**views)