On the Maurer-Cartan simplicial set of a complete curved $$A_\infty $$-algebra
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DOI: 10.1007/s40062-021-00290-8
Abstract: In this paper, we develop the $$A_\infty $$ A ∞ -analog of the Maurer-Cartan simplicial set associated to an $$L_\infty $$ L ∞ -algebra and show how we can use this to study the deformation… read more here.
Keywords: complete curved; infty algebra; simplicial set; curved infty ... See more keywords
Deformations of pre-symplectic structures and the Koszul L-infty-algebra
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DOI: 10.1093/imrn/rny123
Abstract: We study the deformation theory of pre-symplectic structures, i.e. closed two-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… read more here.
Keywords: deformations pre; algebra; symplectic structures; koszul infty ... See more keywords