English

Equivalences of Higher Derived Brackets

Quantum Algebra 2020-05-19 v3 Differential Geometry Symplectic Geometry

Abstract

This note elaborates on Th. Voronov's construction [math/0304038,math/0412202] of LL_\infty-structures via higher derived brackets with a Maurer-Cartan element. It is shown that gauge equivalent Maurer-Cartan elements induce LL_\infty-isomorphic structures. Applications in symplectic, Poisson and Dirac geometry are discussed.

Cite

@article{arxiv.0704.1403,
  title  = {Equivalences of Higher Derived Brackets},
  author = {Alberto S. Cattaneo and Florian Schaetz},
  journal= {arXiv preprint arXiv:0704.1403},
  year   = {2020}
}

Comments

16 pages; minor changes; corrected typos; to appear in JPAA