Bibliographic Information

Arithmetic and geometry around quantization

Özgür Ceyhan, Yuri I. Manin, Matilde Marcolli, editors

(Progress in mathematics, v. 279)

Birkhäuser, c2010

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Includes bibliographical references

Description and Table of Contents

Description

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.

Table of Contents

Mirror Duality via G2 and Spin(7) Manifolds by Selman Akbulut and Sema Salur.-2-Gerbes and 2-Tate Spaces by Sergey Arkhipov and Kobi Kremnizer.-Towards Quantum Cohomology of Real Varieties by OEzgur Ceyhan.-Weyl Modules and Opers without Monodromy by Edward Frenkel and Dennis Gaitsgory.-Differentiable Operad, Kuranishi Correspondence, and Foundation of Topological Field Theories Based on Pseudo-holomorphic Curve by Kenji Fukaya.-The Geometry of Partial Order on Contact Transformations of Prequantization Manifolds by Gabi Ben Simon.-Notes on the Self-reducibility of the Weil Representation and Quantum Chaos by Shamgar Gurevich and Ronny Hadani.-Notes on Canonical Quantization of Symplectic Vector Spaces over Finite Fields by Shamgar Gurevich and Ronny Hadani.-Noncommutative Geometry in the Framework of Differential Graded Categories by Snigdhayan Mahanta.-Multiplicative Renormalization and Hopf Algebras by Walter D. van Suijlekom.

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