Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Arithmetic and Geometry Around Quantization

  • Book
  • © 2010

Overview

Editors:
  1. Özgür Ceyhan

    1. MPI für Mathematik, Bonn, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Yu. I. Manin

    1. MPI für Mathematik, Bonn, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Matilde Marcolli

    1. Department of Mathematics, California Institute of Technology, Pasadena, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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

Part of the book series: Progress in Mathematics (PM)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (10 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Mirror Duality via G 2 and Spin(7) Manifolds

    • Selman Akbulut, Sema Salur
    Pages 1-21

  3. 2-Gerbes and 2-Tate Spaces

    • Sergey Arkhipov, Kobi Kremnizer
    Pages 23-35

  4. The Geometry of Partial Order on Contact Transformations of Prequantization Manifolds

    • Gabi Ben Simon
    Pages 37-64

  5. Towards Quantum Cohomology of Real Varieties

    • Özgür Ceyhan
    Pages 65-99

  6. Weyl Modules and Opers without Monodromy

    • Edward Frenkel, Dennis Gaitsgory
    Pages 101-121

  7. Differentiable Operads, the Kuranishi Correspondence, and Foundations of Topological Field Theories Based on Pseudo-Holomorphic Curves

    • Kenji Fukaya
    Pages 123-200

  8. Notes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos

    • Shamgar Gurevich, Ronny Hadani
    Pages 201-232

  9. Notes on Canonical Quantization of Symplectic Vector Spaces over Finite Fields

    • Shamgar Gurevich, Ronny Hadani
    Pages 233-251

  10. Noncommutative Geometry in the Framework of Differential Graded Categories

    • Snigdhayan Mahanta
    Pages 253-275

  11. Multiplicative Renormalization and Hopf Algebras

    • Walter D. van Suijlekom
    Pages 277-292
Back to top

Keywords

About this book

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, quantum ergodicity, and non-commutative geometry. A wide range of topics related to quantization are covered, giving a glimpse of the broad subject. The articles are written by distinguished mathematicians in the field and reflect subsequent developments following the Arithmetic and Geometry around Quantization conference held in Istanbul.

List of Contributors: S. Akbulut, R. Hadani, S. Arkhipov, K. Kremnizer, Ö. Ceyhan, S. Mahanta, E. Frenkel, S. Salur, K. Fukaya, G. Ben Simon, D. Gaitsgory, W. van Suijlekom, S. Gurevich.

Editors and Affiliations

  • MPI für Mathematik, Bonn, Germany

    Özgür Ceyhan, Yu. I. Manin

  • Department of Mathematics, California Institute of Technology, Pasadena, USA

    Matilde Marcolli

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation