Observables and Symmetries of n-Plectic Manifolds
Autor: | Leonid Ryvkin |
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EAN: | 9783658123901 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 09.02.2016 |
Kategorie: | |
Schlagworte: | Algebraic Structures Co-Moment Maps N-Plectic Geometry Strongly Homotopy Lie Algebras Symplectic Notions |
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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.
Leonid Ryvkin wrote his master thesis at the Ruhr-Universität Bochum and is currently working on his PhD studies.