Superalgebra structure on differential forms of manifold
General Mathematics
2021-11-30 v2
Abstract
As an analogy of superalgebra of multivector fields with the Schounte bracket, we introduce a non-trivial superbracket on differential forms of manifold. We show properties of this new superalgebra. We extend this superalgebra by adding one factor. The new extended superalgebra should be studied more widely and in deep. We study Betti numbers of double weighted homology groups by the Euler vector field. In appendix, we explain our bracket is produced like as the Schouten bracket.
Cite
@article{arxiv.2105.09738,
title = {Superalgebra structure on differential forms of manifold},
author = {Kentaro Mikami and Tadayoshi Mizutani},
journal= {arXiv preprint arXiv:2105.09738},
year = {2021}
}
Comments
26 pages