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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.

Produktbeschreibung
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.

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