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  • © 2016

Observables and Symmetries of n-Plectic Manifolds

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  • Publication in the field of natural sciences
  • Includes supplementary material: sn.pub/extras

Part of the book series: BestMasters (BEST)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VII
  2. Introduction

    • Leonid Ryvkin
    Pages 1-2
  3. L∞-algebras

    • Leonid Ryvkin
    Pages 3-28
  4. Observables of pre-n-plectic manifolds

    • Leonid Ryvkin
    Pages 29-33
  5. Symmetries of pre-n-plectic manifolds

    • Leonid Ryvkin
    Pages 34-45
  6. Back Matter

    Pages 47-49

About this book

Leonid Ryvkin gives a motivated and self-sustained introduction to n-plectic geometry with a special focus on symmetries. The relevant algebraic structures from scratch are developed. The author generalizes known symplectic notions, notably observables and symmetries, to the n-plectic case, culminating in solving the existence question for co-moment maps for general pre-n-plectic manifolds. Finally partial results scattered along the literature are derived from our general result.

Authors and Affiliations

  • Bochum, Germany

    Leonid Ryvkin

About the author

Leonid Ryvkin wrote his master thesis at the Ruhr-Universität Bochum and is currently working on his PhD studies.

Bibliographic Information

  • Book Title: Observables and Symmetries of n-Plectic Manifolds

  • Authors: Leonid Ryvkin

  • Series Title: BestMasters

  • DOI: https://doi.org/10.1007/978-3-658-12390-1

  • Publisher: Springer Spektrum Wiesbaden

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Fachmedien Wiesbaden 2016

  • Softcover ISBN: 978-3-658-12389-5Published: 17 February 2016

  • eBook ISBN: 978-3-658-12390-1Published: 09 February 2016

  • Series ISSN: 2625-3577

  • Series E-ISSN: 2625-3615

  • Edition Number: 1

  • Number of Pages: VII, 50

  • Number of Illustrations: 1 illustrations in colour

  • Topics: Algebra, Geometry

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access