Note on Poisson cohomology on Weil bundles
Tom 122 / 2019
Annales Polonici Mathematici 122 (2019), 1-9
MSC: Primary 53D17; Secondary 58A20.
DOI: 10.4064/ap180207-22-10
Opublikowany online: 8 February 2019
Streszczenie
The purpose of this note on Poisson cohomology is to show that if is a Poisson manifold and if A is a Weil algebra, then the Weil bundle M^{A} is a Poisson manifold. Therefore, we establish a relationship between Poisson cohomology H_{\{\cdot ,\cdot \}_{A}}^{\bullet }(M^{A},A) with values in A and Poisson cohomology H_{\{\cdot ,\cdot \},\mathbb {R}}^{\bullet }(M^{A}) with real values.
