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.
This note covers the following topics: Recollections and
preliminaries, Symmetric monoidal and stable categories, The group completion
theorem and the K theory of finite fields, The K theory of stable categories.
This note explains the following topics: Categories and functors, Transformations and
equivalences, Universal properties, Homotopy theory, Simplicial methods,
Homotopy theory of categories, Waldhausen K-theory, Abelian and exact
categories, Quillen 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.
This is one day
going to be a textbook on K-theory, with a particular emphasis on connections
with geometric phenomena like intersection multiplicities.