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- W2593962912 abstract "Abstract We study the deformation theory of pre-symplectic structures, that is, closed 2-forms of fixed rank. The main result is a parametrization of nearby deformations of a given pre-symplectic structure in terms of an $L_{infty }$-algebra, which we call the Koszul $L_{infty }$-algebra. This $L_{infty }$-algebra is a cousin of the Koszul dg Lie algebra associated to a Poisson manifold. In addition, we show that a quotient of the Koszul $L_{infty }$-algebra is isomorphic to the $L_{infty }$-algebra that controls the deformations of the underlying characteristic foliation. Finally, we show that the infinitesimal deformations of pre-symplectic structures and of foliations are both obstructed." @default.
- W2593962912 created "2017-03-16" @default.
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- W2593962912 date "2018-06-20" @default.
- W2593962912 modified "2023-09-27" @default.
- W2593962912 title "Deformations of Pre-symplectic Structures and the Koszul L∞-algebra" @default.
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- W2593962912 doi "https://doi.org/10.1093/imrn/rny123" @default.
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