Journal of Lie Theory

no. 4
Products of Multisymplectic Manifolds and Homotopy Moment Maps
Journal of Lie Theory, Volume 26 (2016) no. 4, pp. 1037-1067
Multisymplectic geometry admits an operation that has no counterpart in symplectic geometry, namely, taking the product of two multisymplectic manifolds endowed with the wedge product of the multisymplectic forms. We show that there is an L∞-embedding of the L∞-algebra of observables of the individual factors into the observables of the product, and that homotopy moment maps for the individual factors induce a homotopy moment map for the product. As a by-product, we associate to every multisymplectic form a curved L∞-algebra, whose curvature is the multisymplectic form itself.
DOI: 10.5802/jolt.922
Classification: 53D20
Keywords: Multisymplectic manifold, moment map, strong homotopy Lie algebra 
@article{JOLT_2016_26_4_a4,
     author = {C. S. Shabazi and M. Zambon},
     title = {Products of {Multisymplectic} {Manifolds} and {Homotopy} {Moment} {Maps}},
     journal = {Journal of Lie Theory},
     pages = {1037--1067},
     year = {2016},
     volume = {26},
     number = {4},
     doi = {10.5802/jolt.922},
     zbl = {1360.53085},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.922/}
}
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C. S. Shabazi; M. Zambon. Products of Multisymplectic Manifolds and Homotopy Moment Maps. Journal of Lie Theory, Volume 26 (2016) no. 4, pp. 1037-1067. doi: 10.5802/jolt.922

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