Trends in Mathematics

Geometric Methods in Physics

XXXI Workshop, Białowieża, Poland, June 24–30, 2012

Editors: Kielanowski, P., Ali, S.T., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (Eds.)

  • Provides an overview of the recent state of the interaction of geometry with modern physics
  • Discusses the work and important contributions of Boris Fedosov to deformation quantization
  • Contains contributions of leading scientists in the field
  • Discusses physical topics in a mathematically precise way
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About this book

The Białowieża workshops on Geometric Methods in Physics, taking place in the unique environment of the Białowieża natural forest in Poland, are among the important meetings in the field. Every year some 80 to 100 participants both from mathematics and physics join to discuss new developments and to interchange ideas. The current volume was produced on the occasion of the XXXI meeting in 2012. For the first time the workshop was followed by a School on Geometry and Physics, which consisted of advanced lectures for graduate students and young researchers. Selected speakers of the workshop were asked to contribute, and additional review articles were added. The selection shows that despite its now long tradition the workshop remains always at the cutting edge of ongoing research. The XXXI workshop had as a special topic the works of the late Boris Vasilievich Fedosov (1938–2011) who is best known for a simple and very natural construction of a deformation quantization for any symplectic manifold, and for his contributions to index theory.​

Table of contents (22 chapters)

  • Non-formal Deformation Quantization and Star-exponential of the Poincaré Group

    Bieliavsky, Pierre (et al.)

    Pages 3-12

  • Spinc, Mpc and Symplectic Dirac Operators

    Cahen, Michel (et al.)

    Pages 13-28

  • $$\theta(\hat{x},\hat{p})$$ -deformation of the Harmonic Oscillator in a 2D-phase Space

    Hounkonnou, M. N. (et al.)

    Pages 29-37

  • Star Products and Certain Star Product Functions

    Iida, Mari (et al.)

    Pages 39-45

  • Paragrassmann Algebras as Quantum Spaces Part I: Reproducing Kernels

    Sontz, Stephen Bruce

    Pages 47-63

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0645-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-0348-0644-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-3-0348-0781-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Methods in Physics
Book Subtitle
XXXI Workshop, Białowieża, Poland, June 24–30, 2012
Editors
  • Piotr Kielanowski
  • S. Twareque Ali
  • Alexander Odesskii
  • Anatol Odzijewicz
  • Martin Schlichenmaier
  • Theodore Voronov
Series Title
Trends in Mathematics
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0645-9
DOI
10.1007/978-3-0348-0645-9
Hardcover ISBN
978-3-0348-0644-2
Softcover ISBN
978-3-0348-0781-4
Series ISSN
2297-0215
Edition Number
1
Number of Pages
X, 237
Topics