Noncommutative geometry and physics. 3. Shonan Village Center, Japan, 18-22 February 2008 ; Kyoto University, Japan, 1 April 2010-31 March 2011 / edited by Guiseppe Dito ... [et al.].

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Cover image for Noncommutative geometry and physics. 3. Shonan Village Center, Japan, 18-22 February 2008 ; Kyoto University, Japan, 1 April 2010-31 March 2011 / edited by Guiseppe Dito ... [et al.].

Title:

Series:

Noncommutative geometry and physics ; v. 3

Publication Information:

Singapore ; London : World Scientific, c2013.

Physical Description:

viii, 528 p. ; 26 cm.

ISBN:

9789814425001

General Note:

Selected conference papers from a workshop held in Feb. 2008 in Kyoto Japan on "K-theory and D-branes",

Subject Term:

Mathematical physics -- Congresses

Noncommutative differential geometry Congresses

Added Author:

Dito, Giuseppe

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Library	Item Barcode	Call Number	Material Type	Item Category 1	Status
Searching... PSZ JB	30000010312235	QC20.7.D52 N665 2013	Open Access Book	Book	Searching... Unknown

Noncommutative differential geometry is a novel approach to geometry, aimed in part at applications in physics. It was founded in the early eighties by the 1982 Fields Medalist Alain Connes on the basis of his fundamental works in operator algebras. It is now a very active branch of mathematics with actual and potential applications to a variety of domains in physics ranging from solid state to quantization of gravity. The strategy is to formulate usual differential geometry in a somewhat unusual manner, using in particular operator algebras and related concepts, so as to be able to plug in noncommutativity in a natural way. Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field. It is an important topic both for mathematics and physics.

Alan L. Carey and John Phillips and Adam Rennie and Fedor A. SukochevAlan L. Carey and John Phillips and Adam RennieTetsuji KimuraAkifumi SakoRichard J. SzaboDai TamakiDai TamakiKazufumi Kimoto and Masato WakayamaQin WangPaolo Bertozzini and Roberto Conti and Wicharn LewkeeratiyutkulJonathan Block and Nigel HigsonPeter Bouwknegt and Alan Carey and Rishni RatnamKatsutoshi KawashimaFrancesco D'Andrea and Giovanni LandiHyun Ho LeeShin-ichi OguniYoshiaki Maeda and Akifumi SakoJonathan RosenbergPaulo Carrillo Rouse

Preface	p. v
Part I K-Theory and D-Branes, Shonan
The Local Index Formula in Noncommutative Geometry Revisited	p. 3
Semi-Finite Noncommutative Geometry and Some Applications	p. 37
Generalized Geometries in String Compactification Scenarios	p. 59
What Happen to Gauge Theories under Noncommutative Deformation?	p. 111
D-Branes and Bivariant K-Theory	p. 131
Two-Sided Bar Constructions for Partial Monoids and Applications to K-Homology Theory	p. 177
Twisting Segal's K-Homology Theory	p. 197
Spectrum of Non-Commutative Harmonic Oscillators and Residual Modular Forms	p. 237
Coarse Embeddings and Higher Index Problems for Expanders	p. 269
Part II Deformation Quantization and Noncommutative Geometry, RIMS
Enriched Fell Bundles and Spaceoids	p. 283
Weyl Character Formula in KK-Theory	p. 299
Recent Advances in the Study of the Equivariant Brauer Group	p. 335
Entire Cyclic Cohomology of Noncommutative Manifolds	p. 359
Geometry of Quantum Projective Spaces	p. 373
On Yang-Mills Theory for Quantum Heisenberg Manifolds	p. 417
Dilatational Equivalence Classes and Novikov-Shubin Type Capacities of Groups, and Random Walks	p. 433
Deformation Quantization of Gauge Theory in R 4 and U(1) Instanton Problems	p. 471
Dualities in Field Theories and the Role of K-Theory	p. 485
Deformation Groupoids and Pushforward Maps in Twisted K-Theory	p. 507

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