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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.
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Observables and symmetries of n-plectic manifolds, Leonid Ryvkin
- Language
- Released
- 2016
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- Title
- Observables and symmetries of n-plectic manifolds
- Language
- English
- Authors
- Leonid Ryvkin
- Publisher
- Springer Spektrum
- Released
- 2016
- ISBN10
- 3658123893
- ISBN13
- 9783658123895
- Series
- BestMasters
- Category
- University and college textbooks
- Description
- 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.