1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DG2025
Super homology groups of differential forms and vector fields on Euclidean line
Kentaro Mikami, Tadayoshi Mizutani
The arXiv:2105.09738 claims several stuffs. In particular, we recall the following two. (1) Vector fields and differential forms become a Lie superalgebra structure for each manifo…
math.DG2020★ 1 cited
Super homologies associated with low dimensional Lie algebras
Kentaro Mikami, Tadayoshi Mizutani
A Poisson structure on a manifold is characterized by the Schouten bracket. The graded algebra of the tangent bundle with the Schouten bracket is a prototype of Lie superalgebra. T…
math.DG2018
Euler number and Betti numbers of homology groups of pre Lie superalgebra
Kentaro Mikami, Tadayoshi Mizutani
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 c…