Arithmetic and Geometry Around Quantization

This volume comprises both research and survey articles originating from the conference on Arithmetic and Geometry around Quantization held in Istanbul in 2006. A wide range of topics related to quantization are covered, thus aiming to give a glimpse of a broad subject in very different perspectives.

Highlights possible new research directions Includes both survey and original research articles Presents the "hot topics" in and around quantization Includes supplementary material: sn.pub/extras

Inhalt
Mirror Duality via G 2 and Spin(7) Manifolds.- 2-Gerbes and 2-Tate Spaces.- The Geometry of Partial Order on Contact Transformations of Prequantization Manifolds.- Towards Quantum Cohomology of Real Varieties.- Weyl Modules and Opers without Monodromy.- Differentiable Operads, the Kuranishi Correspondence, and Foundations of Topological Field Theories Based on Pseudo-Holomorphic Curves.- Notes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos.- Notes on Canonical Quantization of Symplectic Vector Spaces over Finite Fields.- Noncommutative Geometry in the Framework of Differential Graded Categories.- Multiplicative Renormalization and Hopf Algebras.