Mathematics Books Topology BooksK theory Books

K Theory Notes

K Theory Notes

K Theory Notes

This note covers the following topics: Vector Bundles and Bott Periodicity, K-theory Represented by Fredholm Operators, Representations of Compact Lie Groups, Equivariant K-theory.

Author(s):

s97 Pages
Similar Books
K Theory Notes

K Theory Notes

This note covers the following topics: Vector Bundles and Bott Periodicity, K-theory Represented by Fredholm Operators, Representations of Compact Lie Groups, Equivariant K-theory.

s97 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, Kasparovís Kk-theory.

s314 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
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
Lectures on Topics in Algebraic K Theory (PDF 138P)

Lectures on Topics in Algebraic K Theory (PDF 138P)

This note covers the following topics: The exact sequence of algebraic K-theory, Categories of modules and their equivalences, Brauer group of a commutative ring, Brauer-Wall group of graded Azumaya algebras and The structure of the Clifford Functor.

s138 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
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
Complex Topological K Theory

Complex Topological K Theory

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

sNA Pages
Notes on K theory

Notes on K theory

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

sNA Pages
The K book An Introduction to Algebraic K theory

The K book An Introduction to Algebraic K theory

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

sNA 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
High dimensional     knot theory

High dimensional knot theory

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

sNA Pages