• Corpus ID: 119152097

Homotopy Loday Algebras and Symplectic $2$-Manifolds

@article{Peddie2018HomotopyLA,
  title={Homotopy Loday Algebras and Symplectic \$2\$-Manifolds},
  author={Matthew T. Peddie},
  journal={arXiv: Mathematical Physics},
  year={2018}
}
  • M. Peddie
  • Published 9 April 2018
  • Mathematics
  • arXiv: Mathematical Physics
Using the technique of higher derived brackets developed by Voronov, we construct a homotopy Loday algebra in the sense of Ammar and Poncin associated to any symplectic $2$-manifold. The algebra we obtain has a particularly nice structure, in that it accommodates the Dorfman bracket of a Courant algebroid as the binary operation in the hierarchy of operations, and the defect in the symmetry of each operation is measurable in a certain precise sense. We move to call such an algebra a homotopy… 

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