Eric Friedlander,
Daniel R. Grayson
Springer Berlin Heidelberg
2005e druk, 2005
9783540230199
Handbook of K-Theory
Specificaties
Gebonden, 626 blz.
|
Engels
Springer Berlin Heidelberg |
2005e druk, 2005
ISBN13: 9783540230199
Rubricering
Juridisch
:
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.
Specificaties
ISBN13:9783540230199
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:626
Uitgever:Springer Berlin Heidelberg
Druk:2005
Inhoudsopgave
<P><STRONG>Part I: Foundations and Computations</STRONG>: Deloopings in Algebraic K- theory.- The Motivic Spectral Sequence.- K-theory of truncated polynomial algebras.- Bott Periodicity in Topological, Algebraic and Hermitian K-theory.- Algebraic K-theory of Rings and Integers in Local and Global Fields.</P>
<P><STRONG>Part II: K-theory and Algebraic Geometry</STRONG>: Motivic Cohomology, K-theory and topological cyclic Homology.- K-theory and Intersection Theory.- Regulators.- Algebraic K-theory, Algebraic Cycles and Arithmetic Geometry.- Mixed Motives.</P>
<P><STRONG>Part III: K-theory and Geometric Topology</STRONG>: Witt Groups.- K-theory and Geometric Topology.- Quadratic K-theory and Geometric Topology. </P>
<P><STRONG>Part IV: K-theory and Operator Algebras</STRONG>: Bivariant K-and Cyclic Theories.- The Baum-Connes and the Farrell-Jones Conjectures in K-and L-theory.- Comparison Between Algebraic and Topological K-theory for Banach Algebras and C*-Algebras.</P>
<P><STRONG>Part V: Other Forms of K-theory</STRONG>: Semi-topological K-theory.- Equivariant K-theory.- K(1)-local Homotopy Theory, Iwasawa Theory and Algebraic K-theory.- The K-theory of Triangulated Categories.</P>
<P><STRONG>Part II: K-theory and Algebraic Geometry</STRONG>: Motivic Cohomology, K-theory and topological cyclic Homology.- K-theory and Intersection Theory.- Regulators.- Algebraic K-theory, Algebraic Cycles and Arithmetic Geometry.- Mixed Motives.</P>
<P><STRONG>Part III: K-theory and Geometric Topology</STRONG>: Witt Groups.- K-theory and Geometric Topology.- Quadratic K-theory and Geometric Topology. </P>
<P><STRONG>Part IV: K-theory and Operator Algebras</STRONG>: Bivariant K-and Cyclic Theories.- The Baum-Connes and the Farrell-Jones Conjectures in K-and L-theory.- Comparison Between Algebraic and Topological K-theory for Banach Algebras and C*-Algebras.</P>
<P><STRONG>Part V: Other Forms of K-theory</STRONG>: Semi-topological K-theory.- Equivariant K-theory.- K(1)-local Homotopy Theory, Iwasawa Theory and Algebraic K-theory.- The K-theory of Triangulated Categories.</P>
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