**18 Lectures on K-Theory**

by Ioannis P. Zois

**Publisher**: arXiv 2010**Number of pages**: 137

**Description**:

We present 18 Introductory Lectures on K-Theory covering its basic three branches, namely topological, analytic (K-Homology) and Higher Algebraic K-Theory, 6 lectures on each branch. The skeleton of these notes was provided by the author's personal notes from a graduate summer school on K-Theory organised by the London Mathematical Society (LMS) back in 1995 in Lancaster, UK.

Download or read it online for free here:

**Download link**

(580KB, PDF)

## Similar books

**Algebraic K-Theory**

by

**Hyman Bass**-

**W. A. Benjamin**

The algebraic K-theory presented here is concerned with the structure theory of projective modules, and of their automorphism groups. Thus, it is a generalization off the theorem asserting the existence and uniqueness of bases for vector spaces ...

(

**1680**views)

**Lectures on Topics in Algebraic K-Theory**

by

**Hyman Bass**-

**Tata Institute of Fundamental Research**

Topics: The exact sequence of algebraic K-theory; Categories of modules and their equivalences; The Brauer group of a commutative ring; The Brauer-Wall group of graded Azumaya algebras; The structure of the Clifford Functor.

(

**4095**views)

**Algebraic K-Theory**

by

**Olivier Isely**-

**EPFL**

Algebraic K-theory is a branch of algebra dealing with linear algebra over a general ring A instead of over a field. Algebraic K-theory plays an important role in many subjects, especially number theory, algebraic topology and algebraic geometry.

(

**2767**views)

**The K-book: An introduction to algebraic K-theory**

by

**Charles Weibel**-

**Rutgers**

Algebraic K-theory is an important part of homological algebra. Contents: Projective Modules and Vector Bundles; The Grothendieck group K_0; K_1 and K_2 of a ring; Definitions of higher K-theory; The Fundamental Theorems of higher K-theory.

(

**6715**views)