<p>In [6], we developed the deformation theory of symplectic foliations, focusing on geometric aspects. Here, we address some algebraic questions that arose naturally. We show that the <i>L</i><sub>∞</sub>-algebra constructed in [6] is independent of the choices made, and we prove that the gauge equivalence of Maurer–Cartan elements corresponds to the equivalence by isotopies of symplectic foliations.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Deformations of symplectic foliations: algebraic aspects

  • Stephane Geudens,
  • Alfonso G. Tortorella,
  • Marco Zambon

摘要

In [6], we developed the deformation theory of symplectic foliations, focusing on geometric aspects. Here, we address some algebraic questions that arose naturally. We show that the L-algebra constructed in [6] is independent of the choices made, and we prove that the gauge equivalence of Maurer–Cartan elements corresponds to the equivalence by isotopies of symplectic foliations.