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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.
Author(s): Aderemi Kuku, University of Iowa
141 Pages
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.
Author(s): Ioannis P. ZOIS
137 Pages
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.
Author(s): Daniel Dugger
285 Pages
This note provides an overview of various aspects of algebraic K-theory, with the intention of making these lectures accessible to participants with little or no prior knowledge of the subject.
Author(s): Eric Friedlander
78 Pages
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): Max Karoubi
95 Pages
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.
Author(s): Jonathan Rosenberg
37 Pages
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.
Author(s): Olivier Isely
45 Pages
This book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes.
Author(s): Allen Hatcher
NA Pages
An introduction to algebraic K Theory
This book covers the following topics: Projective Modules and Vector Bundles, The Grothendieck group K_0, K_1 and K_2 of a ring, higher K-theory, The Fundamental Theorems of higher K-theory and the higher K-theory of Fields.
Author(s): Charles Weibel
NA Pages
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Author(s): NA
NA Pages
The K book An Introduction to Algebraic K theory
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Author(s): NA
NA Pages
K Theory and Geometric Topology
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Author(s): NA
NA Pages
Clifford Modules and Twisted K Theory
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Author(s): NA
NA Pages
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Author(s): NA
NA PagesAdvertisement
