© 2015

Geometric Methods in Physics

XXXIII Workshop, Białowieża, Poland, June 29 – July 5, 2014

  • Piotr Kielanowski
  • Pierre Bieliavsky
  • Anatol Odzijewicz
  • Martin Schlichenmaier
  • Theodore Voronov


  • Provides an overview of the current state of application of geometry in modern physics

  • Presents mathematically precise discussions of important topics in physics

  • Features contributions by leading scientists in the field

Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Higher Structures and Non-commutative Geometry

    1. Front Matter
      Pages 1-1
    2. Sara Azzali, Cyril Lévy, Carolina Neira-Jiménez, Sylvie Paycha
      Pages 3-38
    3. Denis Bashkirov, Alexander A. Voronov
      Pages 39-47
    4. Rui Loja Fernandes
      Pages 49-66
  3. Quantum Mechanics and Field Theory

    1. Front Matter
      Pages 101-101
    2. D. S. Kaparulin, S. L. Lyakhovich
      Pages 127-134
    3. Yoshiaki Maeda, Akifumi Sako, Toshiya Suzuki, Hiroshi Umetsu
      Pages 135-144
    4. Ali Mostafazadeh
      Pages 145-165
    5. A. A. Sharapov
      Pages 177-186
  4. Groups and Algebras

About these proceedings


This book presents a selection of papers based on the XXXIII Białowieża Workshop on Geometric Methods in Physics, 2014. The Białowieża Workshops are among the most important meetings in the field and attract researchers from both mathematics and physics. The articles gathered here are mathematically rigorous and have important physical implications, addressing the application of geometry in classical and quantum physics. Despite their long tradition, the workshops remain at the cutting edge of ongoing research. For the last several years, each Białowieża Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented; some of the lectures are reproduced here. The unique atmosphere of the workshop and school is enhanced by its venue, framed by the natural beauty of the Białowieża forest in eastern Poland.

The volume will be of interest to researchers and graduate students in mathematical physics, theoretical physics and mathematmtics.


Lie groupoids and algebroids Poisson and non-commutative geometry integrable systems mathematical physics quantization

Editors and affiliations

  • Piotr Kielanowski
    • 1
  • Pierre Bieliavsky
    • 2
  • Anatol Odzijewicz
    • 3
  • Martin Schlichenmaier
    • 4
  • Theodore Voronov
    • 5
  1. 1.Departamento de FísicaCINVESTAVMexico CityMexico
  2. 2.Université Catholique de Louvain IRMPLouvain-la-NeuveFrance
  3. 3.Institute of MathematicsUniversity of BialystokBialystokPoland
  4. 4.Mathematics Research Institute, FSTCUniversity of Luxembourg Mathematics Research Unit, FSTCLuxembourg-KirchbergLuxembourg
  5. 5.School of MathematicsUniversity of ManchesterManchesterUnited Kingdom

Bibliographic information

  • Book Title Geometric Methods in Physics
  • Book Subtitle XXXIII Workshop, Białowieża, Poland, June 29 – July 5, 2014
  • Editors Piotr Kielanowski
    Pierre Bieliavsky
    Anatol Odzijewicz
    Martin Schlichenmaier
    Theodore Voronov
  • Series Title Trends in Mathematics
  • Series Abbreviated Title Trends in Math.
  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-319-18211-7
  • Softcover ISBN 978-3-319-38745-1
  • eBook ISBN 978-3-319-18212-4
  • Series ISSN 2297-0215
  • Series E-ISSN 2297-024X
  • Edition Number 1
  • Number of Pages IX, 326
  • Number of Illustrations 10 b/w illustrations, 1 illustrations in colour
  • Topics Group Theory and Generalizations
    Global Analysis and Analysis on Manifolds
    Quantum Computing
  • Buy this book on publisher's site