5 citations · 10 across the 9 of their papers we have counts for
Showing math.SGShow all
3 papers · 1 filter
math.SG2021
Deformed super brackets on forms of a manifold
Kentaro Mikami, Tadayoshi Mizutani
Given a manifold, we have a super bracket on the graded algebra of differential forms by {A,B} = (-1)^{a} d(A \wedge B). We study when {A,B}_{t} = (-1)^{a} d(A \wedge B) + F(a,b) A…
math.SG2019
The second Betti number of doubly weighted homology groups of some pre Lie superalgebra
Kentaro Mikami, Tadayoshi Mizutani
We already showed that Betti numbers are all zero when w is not equal to h for (w,h)-doubly weighted homology groups of some special pre Lie superalgebra and showed the first Betti…
math.SG2015★ 5 cited
Cohomology groups of homogeneous Poisson structures
Kentaro Mikami, Tadayoshi Mizutani
We generalize the notion of weight for Gelfan'd-Fuks cohomology theory of symplectic vector spaces to the homogeneous Poisson vector spaces, and try some combinatorial approach to…