First Betti number of weighted homology group of Hamiltonian vector fields on symplectic tori

Hiroki Kodama; Kentaro Mikami; Tadaysshi Mizutani

arxiv: 1705.10894 · v2 · pith:VGDVRNT4new · submitted 2017-05-30 · 🧮 math.SG

First Betti number of weighted homology group of Hamiltonian vector fields on symplectic tori

Hiroki Kodama , Kentaro Mikami , Tadaysshi Mizutani This is my paper

classification 🧮 math.SG

keywords grouphomologyvectorfieldshamiltoniansymplectictheorytori

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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 weight.

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First Betti number of weighted homology group of Hamiltonian vector fields on symplectic tori

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