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Keywords:
IM-2 forms; complete lifts of vector fields and differential forms; twisted-Dirac structures; tangent functor of higher order; natural transformations
IM-2 forms; complete lifts of vector fields and differential forms; twisted-Dirac structures; tangent functor of higher order; natural transformations
Summary:
Let $\left(G, \omega \right)$ be a presymplectic groupoid. In this paper we characterize the infinitesimal counter part of the tangent presymplectic groupoid of higher order, $(T^{r}G, \omega ^{\left(c\right)})$ where $T^{r}G$ is the tangent groupoid of higher order and $\omega ^{\left(c\right)}$ is the complete lift of higher order of presymplectic form $\omega $.
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