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On Higher Dirac Structures

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Publication:5243330
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DOI10.1093/imrn/rnx163zbMath1483.53097arXiv1611.02292OpenAlexW2553738238MaRDI QIDQ5243330

Henrique Bursztyn, Nicolas Martinez Alba, Roberto Rubio

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02292


zbMATH Keywords

characteristic foliationmulti-Dirac structureshigher Dirac structuresmultisymplectic structureshigher order structureshigher Poisson structuresk-presymplectic groupoidsLoday bracket


Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Symplectic field theory; contact homology (53D42)


Related Items (8)

Reduction of multisymplectic manifolds ⋮ Remarks on multisymplectic reduction ⋮ Quotients of multiplicative forms and Poisson reduction ⋮ Higher omni-Lie algebroids ⋮ The geometry of graded cotangent bundles ⋮ Linearization of the higher analogue of Courant algebroids ⋮ Brane current algebras and generalised geometry from QP manifolds. Or, ``when they go high, we go low ⋮ Quantization of polysymplectic manifolds







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