Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606093 | Differential Geometry and its Applications | 2012 | 12 Pages |
Abstract
We define the notion of action of an L∞L∞-algebra gg on a graded manifold MM, and show that such an action corresponds to a homological vector field on g[1]×Mg[1]×M of a specific form. This generalizes the correspondence between Lie algebra actions on manifolds and transformation Lie algebroids. In particular, we consider actions of gg on a second L∞L∞-algebra, leading to a notion of “semidirect product” of L∞L∞-algebras more general than those we found in the literature.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Rajan Amit Mehta, Marco Zambon,