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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
…mehr

Produktbeschreibung
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.


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