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- W3213369388 abstract "Let Mm be an oriented manifold and let N be a set consisting of oriented closed manifolds of the same odd dimension n. We consider a topological space GN,M of commutative diagrams. Each commutative diagram consists of a few manifolds from N that are mapped to M and of one point spaces pt that are each mapped to a pair of manifolds from N. We consider the oriented bordism group Ω⁎(GN,M)=⊕i=0∞Ωi(GN,M). We introduce the operations ⋆ and [⋅,⋅] on Ω⁎(GN,M)⊗Q, that make Ω⁎(GN,M)⊗Q into a Z-graded (m−2n)-Poisson algebra. For N={S1} and a surface M=F2, the subalgebra Ω0(G{S1},F2)⊗Q of our algebra is related to the Andersen-Mattes-Reshetikhin Poisson algebra of chord-diagrams." @default.
- W3213369388 created "2021-11-22" @default.
- W3213369388 creator A5001820777 @default.
- W3213369388 date "2022-01-01" @default.
- W3213369388 modified "2023-09-25" @default.
- W3213369388 title "Graded Poisson algebras on bordism groups of garlands" @default.
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- W3213369388 doi "https://doi.org/10.1016/j.topol.2021.107919" @default.
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