L∞-Algebras from Multisymplectic Geometry

@article{Rogers2010LAlgebrasFM,
  title={L∞-Algebras from Multisymplectic Geometry},
  author={C. Rogers},
  journal={Letters in Mathematical Physics},
  year={2010},
  volume={100},
  pages={29-50}
}
  • C. Rogers
  • Published 2010
  • Mathematics, Physics
  • Letters in Mathematical Physics
  • A manifold is multisymplectic, or more specifically n-plectic, if it is equipped with a closed nondegenerate differential form of degree n + 1. In previous work with Baez and Hoffnung, we described how the ‘higher analogs’ of the algebraic and geometric structures found in symplectic geometry should naturally arise in 2-plectic geometry. In particular, just as a symplectic manifold gives a Poisson algebra of functions, any 2-plectic manifold gives a Lie 2-algebra of 1-forms and functions. Lie n… CONTINUE READING
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