Observables and Symmetries of n-Plectic Manifolds [Paperback]

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

Strongly Homotopy Lie Algebras.- Observables and Symmetries of n-PlecticManifolds.

Leonid Ryvkinwrote his master thesis at the Ruhr-Universit?t Bochum and is currently workingon his PhD studies.

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

Contents

• Strongly Homotopy Lie Algebras
  
• Observables and Symmetries of n-PlecticManifolds

Target Groups

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

TheAuthor

Leonid Ryvkinwrote his master thesis at the Ruhr-Universit?t Bochum and is currently workingon his PhD studies.