Observables and Symmetries of N-Plectic Manifolds

ISBN-13: 9783658123895 / Angielski / Miękka / 2016 / 50 str.

Leonid Ryvkin

Opis

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.

Spis treści

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

O autorze

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

Blurb

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.