8 citations · 30 across the 15 of their papers we have counts for
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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…
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…
First Betti number of weighted homology group of Hamiltonian vector fields on symplectic tori
Hiroki Kodama, Kentaro Mikami, Tadaysshi Mizutani
Like (co)homology group theory of formal Hamiltonian vector fields on symplectic vector spaces, we try studying homology group theory on symplecit tori introducing the notion of we…
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…
The relative Gel'fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on 6-dimensional plane
Kentaro Mikami
Using Crystal basis theory, we study the relative Gel'fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on 6-dimensional plane with weight =2,4,6.
Higher weight Gel'fand-Kalinin-Fuks classes of formal Hamiltonian vector fields of symplectic R^2
Kentaro Mikami, Hiroki Kodama, Yasuharu Nakae
In "The Gel'fand-Kalinin-Fuks class and characteristic classes of transversely symplectic foliations", arXiv:0910.3414, (October 2009) by D.Kotschick and S.Morita, the relative Gel…