000 03391nam a22004935i 4500
001 978-3-540-27855-9
003 DE-He213
005 20161121230933.0
007 cr nn 008mamaa
008 100413s2005 gw | s |||| 0|eng d
020 _a9783540278559
_9978-3-540-27855-9
024 7 _a10.1007/978-3-540-27855-9
_2doi
050 4 _aQA612.33
072 7 _aPBPD
_2bicssc
072 7 _aMAT002010
_2bisacsh
082 0 4 _a512.66
_223
245 1 0 _aHandbook of K-Theory
_h[electronic resource] /
_cedited by Eric M. Friedlander, Daniel R. Grayson.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2005.
300 _aeReference.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPart I: Foundations and Computations: 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. Part II: K-theory and Algebraic Geometry: Motivic Cohomology, K-theory and topological cyclic Homology -- K-theory and Intersection Theory -- Regulators -- Algebraic K-theory, Algebraic Cycles and Arithmetic Geometry -- Mixed Motives. Part III: K-theory and Geometric Topology: Witt Groups -- K-theory and Geometric Topology -- Quadratic K-theory and Geometric Topology. Part IV: K-theory and Operator Algebras: 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. Part V: Other Forms of K-theory: Semi-topological K-theory -- Equivariant K-theory -- K(1)-local Homotopy Theory, Iwasawa Theory and Algebraic K-theory -- The K-theory of Triangulated Categories.
520 _aThis handbook offers a compilation of techniques and results in K-theory. These two volumes consist of chapters, each of which 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 Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. The overall intent of this handbook is to offer the interested reader an exposition of our current state of knowledge as well as an implicit blueprint for future research. This handbook should be especially useful for students wishing to obtain an overview of K-theory and for mathematicians interested in pursuing challenges in this rapidly expanding field.
650 0 _aMathematics.
650 0 _aAlgebraic geometry.
650 0 _aK-theory.
650 0 _aNumber theory.
650 0 _aAlgebraic topology.
650 1 4 _aMathematics.
650 2 4 _aK-Theory.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aAlgebraic Topology.
650 2 4 _aNumber Theory.
700 1 _aFriedlander, Eric M.
_eeditor.
700 1 _aGrayson, Daniel R.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540230199
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-27855-9
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c506151
_d506151