{"product_id":"9789814425025","title":"Noncommutative Geometry And Physics 3 - Proceedings Of The Noncommutative Geometry And Physics 2008, On K-theory And D-branes \u0026 Proceedings Of The Rims Thematic Year 2010 On Perspectives In Deformation Quantization And Noncommutative Geometry","description":"\u003cp\u003eNoncommutative 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.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eK-Theory and D-Branes, Shonan:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eThe Local Index Formula in Noncommutative Geometry Revisited \u003ci\u003e(Alan L Carey, John Phillips, Adam Rennie and Fedor A Sukochev)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eSemi-Finite Noncommutative Geometry and Some Applications \u003ci\u003e(Alan L Carey, John Phillips and Adam Rennie)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eGeneralized Geometries in String Compactification Scenarios \u003ci\u003e(Tetsuji Kimura)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eWhat Happen to Gauge Theories under Noncommutative Deformation? \u003ci\u003e(Akifumi Sako)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eD-Branes and Bivariant K-Theory \u003ci\u003e(Richard J Szabo)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eTwo-Sided Bar Constructions for Partial Monoids and Applications to \u003ci\u003eK\u003c\/i\u003e-Homology Theory \u003ci\u003e(Dai Tamaki)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eTwisting Segal's \u003ci\u003eK\u003c\/i\u003e-Homology Theory \u003ci\u003e(Dai Tamaki)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eSpectrum of Non-Commutative Harmonic Oscillators and Residual Modular Forms \u003ci\u003e(Kazufumi Kimoto and Masato Wakayama)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eCoarse Embeddings and Higher Index Problems for Expanders \u003ci\u003e(Qin Wang)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eDeformation Quantization and Noncommutative Geometry, RIMS:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eEnriched Fell Bundles and Spaceoids \u003ci\u003e(Paolo Bertozzini, Roberto Conti and Wicharn Lewkeeratiyutkul)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eWeyl Character Formula in KK-Theory \u003ci\u003e(Jonathan Block and Nigel Higson)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eRecent Advances in the Study of the Equivariant Brauer Group \u003ci\u003e(Peter Bouwknegt, Alan Carey and Rishni Ratnam)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eEntire Cyclic Cohomology of Noncommutative Manifolds \u003ci\u003e(Katsutoshi Kawashima)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eGeometry of Quantum Projective Spaces \u003ci\u003e(Francesco D'Andrea and Giovanni Landi)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eOn Yang–Mills Theory for Quantum Heisenberg Manifolds \u003ci\u003e(Hyun Ho Lee)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eDilatational Equivalence Classes and Novikov–Shubin Type Capacities of Groups, and Random Walks \u003ci\u003e(Shin-ichi Oguni)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eDeformation Quantization of Gauge Theory in ℝ\u003csup\u003e4\u003c\/sup\u003e and \u003ci\u003eU\u003c\/i\u003e(1) Instanton Problems \u003ci\u003e(Yoshiaki Maeda and Akifumi Sako)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eDualities in Field Theories and the Role of \u003ci\u003eK\u003c\/i\u003e-Theory \u003ci\u003e(Jonathan Rosenberg)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eDualities in Field Theories and the Role of \u003ci\u003eK\u003c\/i\u003e-Theory \u003ci\u003e(Jonathan Rosenberg)\u003c\/i\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Researchers and graduate students in Mathematical Physics and Applied Mathematics.\u003cbr\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47139871064304,"sku":"9789814425025","price":75.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814425025_p0.jpg?v=1763691491","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814425025","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}