2000/10/03 by Johannes Huebschmann, Huebschmann, Johannes
Mathematics · #17B55 17B56 17B56 17B65 17B66 17B70 17B81 53C05 81T70 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG #msc:17B55 #msc:17B56 #msc:17B65 #msc:17B66 #msc:17B70 #msc:17B81 #msc:53C05 #msc:81T70
paper · pdf · doi:10.48550/arxiv.math/0010039
8 pages, AMSTeX2.1
arxiv created 2000/10/03 · arxiv updated 2009/11/30
For a Lie-Rinehart algebra (A,L) such that, as an A-module, L is finitely generated and projective of finite constant rank, the relationship between generators of the Gerstenhaber bracket and connections on the highest A-exterior power of L given in an earlier paper arises from the canonical pairing between the exterior A-powers of L. Thus, given an exact generator for the corresponding Gerstenhaber algebra, the chain complex underlying the resulting Batalin-Vilkovisky algebra coincides with the Rinehart complex computing the corresponding Lie-Rinehart homology.