Arithmetic and Geometry Around Quantization

• Corporate Author: SpringerLink (Online service)
• Other Authors: Ceyhan, Özgür (Editor), Manin, Yu. I. (Editor), Marcolli, Matilde (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2010.
• Series: Progress in Mathematics ; 279
• Subjects: Mathematics.; Algebra.; Algebraic geometry.; Applied mathematics.; Engineering mathematics.; Geometry.; Physics.; Quantum physics.; Applications of Mathematics.; Mathematical Methods in Physics.; Quantum Physics.; Algebraic Geometry.

In recent decades, quantization has led to interesting applications in various mathematical branches. This volume, comprised of research and survey articles, discusses key topics, including symplectic and algebraic geometry, representation theory, quantum groups, the geometric Langlands program, qua...

Table of Contents:

• 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.