48 citations · 428 across the 48 of their papers we have counts for
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math-ph2009★ 2 cited
On higher Poisson and Koszul--Schouten brackets
Andrew James Bruce
In this note we show how to construct a homotopy BV-algebra on the algebra of differential forms over a higher Poisson manifold. The Lie derivative along the higher Poisson structu…
math-ph2009★ 8 cited
Tulczyjew triples and higher Poisson/Schouten structures on Lie algebroids
Andrew James Bruce
We show how to extend the construction of Tulczyjew triples to Lie algebroids via graded manifolds. We also provide a generalisation of triangular Lie bialgebroids as higher Poisso…