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Observables and Symmetries of n-Plectic Manifolds

  • Leonid Ryvkin

Part of the BestMasters book series (BEST)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Leonid Ryvkin
    Pages 1-2
  3. Leonid Ryvkin
    Pages 3-28
  4. Leonid Ryvkin
    Pages 29-33
  5. Leonid Ryvkin
    Pages 34-45
  6. Back Matter
    Pages 47-49

About this book

Introduction

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.

Contents

  • Strongly Homotopy Lie Algebras
  • Observables and Symmetries of n-Plectic Manifolds

Target Groups

  • Researchers and students in the fields of algebra and geometry
  • Pracitioners in these areas

The Author

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

Keywords

Co-Moment Maps Strongly Homotopy Lie Algebras N-Plectic Geometry Algebraic Structures Symplectic Notions

Authors and affiliations

  • Leonid Ryvkin
    • 1
  1. 1.BochumGermany

Bibliographic information