Euler number and Betti numbers of homology groups of pre Lie superalgebra

2018/09/21 by Mikami, Kentaro, Mizutani, Tadayoshi
#17Bxx #57T10 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.08028

Abstract

First we recall homology groups of prer Lie superalgebras. Then introducing double weighted chain spaces, we deal with pre Lie superalgebra of multi-vector fields with polynomial coefficients on n-dimensional number space. The bracket is Schouten bracket. We have several results about Euler number and Betti numbers of those homology groups of special pre Lie superalgebra.

Related

• Superalgebra structure on differential forms of manifold
• Super homology groups of differential forms and vector fields on Euclidean line
• Super homologies associated with low dimensional Lie algebras
• First Betti number of weighted homology group of Hamiltonian vector fields on symplectic tori
• BiHom pre-Lie Superalgebras and Related Structures