Observables and symmetries of n-plectic manifolds [electronic resource] / Leonid Ryvkin.

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Observables and symmetries of n-plectic manifolds [electronic resource] / Leonid Ryvkin.

9783658123901 (electronic book)
3658123907 (electronic book)
9783658123895

Wiesbaden : Springer Spektrum, 2016.

English

1 online resource (vii, 49 pages) : color illustration.

10.1007/978-3-658-12390-1 doi

QA613

516/.07

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. Contents Strongly Homotopy Lie Algebras Observables and Symmetries of n-Plectic Manifolds Target Groups Researchers and students in the fields of algebra and geometry Pracitioners in these areas The Author Leonid Ryvkin wrote his master thesis at the Ruhr-Universität Bochum and is currently working on his PhD studies.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed February 18, 2016).

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Print version: 9783658123895

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