Noncommutative geometry and physics 2005 : proceedings of the International Sendai-Beijing Joint Workshop : Sendai, Japan, 1-4 November 2005, Beijing, China, 7-10 November 2005 /

Noncommutative geometry and physics 2005 : proceedings of the International Sendai-Beijing Joint Workshop : Sendai, Japan, 1-4 November 2005, Beijing, China, 7-10 November 2005 /

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Bibliographic Details
Imprint:Hackensack, N.J. : World Scientific, 2007.
Description:1 online resource (viii, 324 pages)
Language:English
Subject:
Noncommutative differential geometry -- Congresses.
Mathematical physics -- Congresses.
Mathematical physics.
Noncommutative differential geometry.
Electronic books.
Conference papers and proceedings.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11283725
Hidden Bibliographic Details
Other authors / contributors:Carow-Watamura, Ursula.
ISBN:9789812779649
9812779647
1281938106
9781281938107
9789812704696
9812704698
9786611938109
6611938109
Notes:Includes bibliographical references.
English.
Summary:This book provides a comprehensive overview of the authors' pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems. Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.
Other form:Print version: Noncommutative geometry and physics 2005. Hackensack, N.J. : World Scientific, 2007 9789812704696
Table of Contents:
  • I. Deformations and noncommutativity. 1. Expressions of algebra elements and transcendental noncommutative calculus / Hideki Omori ... [et al.]. 2. Quasi-Hamiltonian quotients as disjoint unions of symplectic manifolds / Florent Schaffhauser. 3. Representations of Gauge transformation groups of higher Abelian gerbes / Kiyonori Gomi. 4. Algebroids associated with pre-poisson structures / Kentaro Mikami, Tadayoshi Mizutani. 5. Examples of groupoid / Naoya Miyazaki. 6. The cohomology of transitive lie algebroids / Z. Chen, Z.J. Liu. 7. Differential equations and Schwarzian derivatives / Hajime Sato, Tetsuya Ozawa, Hiroshi Suzuki. 8. Deformation of Batalin-Vilkovsky structure / Noriaki Ikeda
  • II. Deformed Field theory and solutions. 9. Noncommutative solitons / Olaf Lechtenfeld. 10. Non-anti-commutative deformation of complex geometry / Sergei V. Ketov. 11. Seiberg-Witten monopole and young diagrams / Akifumi Sako. 12. Instanton counting, two dimensional Yang-Mills theory and topological strings / Kazutoshi Ohta. 13. Instantons in Non(anti)commutative Gauge theory via deformed ADHM construction / Takeo Araki, Tatsuhiko Takashima, Satoshi Watamur. 14. Noncommuative deformation and drinfel'd twisted symmetry / Yoshishige Kobayashi. 15. Affine lie superalgebra gl(2/2))(2k and twisted Conformal field theory / Xiang-Mao Ding, Gui-Dong Wang, Shi-Kun Wang. 16. A solution of Yang-Mills equation on BdS spacetime / Xin'an Ren, Shikun Wang. 17. Solitonic information transmission in general relativity / Yu Shang ... [et al.]. 18. Difference discrete geometry on lattice / Ke Wu, Wei-Zhong Zhao, Han-Ying Guo.

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