Mathematics Books Topology BooksK theory Books

Lectures on K theory (PDF 95P)

Lectures on K theory (PDF 95P)

Lectures on K theory (PDF 95P)

This lecture note covers the following topics: beginning of K theory, K theory of Banach algebras, Applications of topological Ktheory, The Atiyah- Singer index theorem, Algebraic K theory of Bass and Milnor applications, Higher Algebraic K theory, Hermitian K theory, Cyclic homology and K theory.

Author(s):

s95 Pages
Similar Books
Lectures on Algebraic K theory by J.F. Jardine

Lectures on Algebraic K theory by J.F. Jardine

This note covers the following topics: Some homotopy theory, Exact categories, Q-construction, Fundamental groupoid, Waldhausen's constructions, Additivity, The K-theory spectrum, Products, Group completion, Q=+ theorem, The defining acyclic map, Homotopy fibres, Resolution theorem, Dévissage, Abelian category localization, Coherent sheaves and open subschemes, Product formulas, K-theory with finite coefficients, Homology, K-theory of graded rings, Homotopy property, Rigidity, K-theory of finite fields.

sNA Pages
The local structure of algebraic K theory

The local structure of algebraic K theory

This note explains the following topics: Algebraic K-theory, Gamma-spaces and S-algebra, Reductions, Topological Hochschild homology, The trace K, Topological Cyclic homology, The comparison of K-theory and TC, Homotopical foundations.

s424 Pages
K theory For Operator Algebras

K theory For Operator Algebras

This note will develop the K-theory of Banach algebras, the theory of extensions of C algebras, and the operator K-theory of Kasparov from scratch to its most advanced aspects. Topics covered includes: Survey of Topological K-Theory, Operator K-Theory, Preliminaries, K-theory Of Crossed Products, Theory Of Extensions, Kasparov’s Kk-theory.

s314 Pages
Introduction To K theory and Some Applications

Introduction To K theory and Some Applications

This book explains the following topics: Topological K-theory, K-theory of C* algebras , Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1 of Orders and Group-rings, Higher Algebraic K-theory , Higher Dimensional Class Groups of Orders and Group rings , Higher K-theory of Schemes, Mod-m Higher K-theory of exact Categories, Schemes and Orders, Profinite Higher K-theory of Exact Categories, Schemes and Orders, Equivariant Higher K-theory Together with Relative Generalizations, Interpretation in Terms of Group-rings.

s141 Pages
Lectures On K theory

Lectures On K theory

This book covers the following topics: Topological K-Theory, Topological Preliminaries on Vector Bundles, Homotopy, Bott Periodicity and Cohomological Properties, Chern Character and Chern Classes, Analytic K-Theory, Applications of Adams operations, Higher Algebraic K-Theory, Algebraic Preliminaries and the the Grothendieck Group, The Whitehead and the Steinberg Groups.

s137 Pages
A Geometric Introduction To K Theory

A Geometric Introduction To K Theory

This is one day going to be a textbook on K-theory, with a particular emphasis on connections with geometric phenomena like intersection multiplicities.

s285 Pages
Lectures on K theory (PDF 95P)

Lectures on K theory (PDF 95P)

This lecture note covers the following topics: beginning of K theory, K theory of Banach algebras, Applications of topological Ktheory, The Atiyah- Singer index theorem, Algebraic K theory of Bass and Milnor applications, Higher Algebraic K theory, Hermitian K theory, Cyclic homology and K theory.

s95 Pages
K Theory and Geometric   Topology (PDF 37P)

K Theory and Geometric Topology (PDF 37P)

The primary purpose of this note is to examine many of these K-theoretic invariants, not from a historical point of view, but rather a posteriori, now that K-theory is a mature subject.

s37 Pages
Lecture Notes on Algebraic K Theory (PDF 252P)

Lecture Notes on Algebraic K Theory (PDF 252P)

This book covers the following topics: Categories and functors, Transformations and equivalences, Universal properties, Homotopy theory, Homotopy theory of categories, Waldhausen K-theory, Quillen K-theory, Abelian and exact categories.

s252 Pages
Handbook of K theory

Handbook of K theory

This two-volume handbook offers a compilation of techniques and results in K-theory. These two volumes consist of chapters, each of which is dedicated to a specific topic and is written by a leading expert.

sNA Pages
Algebraic K Theory (PDF 45P)

Algebraic K Theory (PDF 45P)

This note introduces the definitions of the K-theory groups such as The group K0, The group K1, The group K2 and Higher K-theory groups.

s45 Pages
Algebraic K theory

Algebraic K theory

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
K Theory and Geometric Topology

K Theory and Geometric Topology

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages
Clifford Modules and Twisted K Theory

Clifford Modules and Twisted K Theory

Currently this section contains no detailed description for the page, will update this page soon.

sNA Pages

Advertisement