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Observables and Symmetries of n-Plectic Manifolds

ISBN: 3658123893

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Observables and Symmetries of n Plectic Manifolds

Observables and Symmetries of n-Plectic Manifolds by Leonid Ryvkin
English | 17 Feb. 2016 | ISBN: 3658123893 | 60 Pages | PDF | 672.11 KB



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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