Differential Forms and Cohomology: Course
by Peter Saveliev
Publisher: Intelligent Perception 2013
Number of pages: 300
Description:
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.
Download or read it online for free here:
Read online
(online html)
Similar books
An Introduction to Algebraic Surgeryby Andrew Ranicki - arXiv
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.
(12565 views)
The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheresby Paul Goerss - 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.
(13618 views)
The Homology of Iterated Loop Spacesby F. R. Cohen, T. J. Lada, P. J. May - Springer
A thorough treatment of homology operations and of their application to the calculation of the homologies of various spaces. The book studies an up to homotopy notion of an algebra over a monad and its role in the theory of iterated loop spaces.
(12154 views)
The Geometry of Iterated Loop Spacesby 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.
(12468 views)