Lecture Notes on Motivic Cohomology
by Carlo Mazza, Vladimir Voevodsky, Charles Weibel
Publisher: AMS 2005
ISBN/ASIN: 0821838474
ISBN-13: 9780821838471
Number of pages: 228
Description:
This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings such as Milnor K-theory, etale cohomology, and Chow groups.
Download or read it online for free here:
Download link
(1.6MB, PDF)
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.
(10749 views)
Topics in topology: The signature theorem and some of its applicationsby 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.
(9744 views)
Notes on the course Algebraic Topologyby Boris Botvinnik - University of Oregon
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; etc.
(10145 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.
(10143 views)