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- W4293113124 abstract "Let $mathfrak g$ be an infinite-dimensional Lie algebra and $G$ be the algebraic completion of its module. Using a geometric interpretation in terms of sewing two Riemann spheres with a number of marked points, we introduce a multiplication between elements of two spaces $mathcal{M}^k_m(mathfrak g, G)$ and $mathcal{M}^n_{m'}(mathfrak g, G)$ of meromorphic functions depending on a number of formal complex parameters $(x_1, ldots, x_k)$ and $(y_1, ldots, y_n)$ with specific analytic and symmetry properties, and associated to $mathfrak g$-valued series. These spaces form a chain-cochain complex with respect to a boundary-coboundary operator. The main result of the paper shows that the multiplication is defined by an absolutely convergent series and takes values in the space $mathcal{M}^{k+n}_{m+m'}(mathfrak g, G)$." @default.
- W4293113124 created "2022-08-26" @default.
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- W4293113124 date "2022-08-22" @default.
- W4293113124 modified "2023-09-27" @default.
- W4293113124 title "The extension of cochain complexes of meromorphic functions to multiplications" @default.
- W4293113124 doi "https://doi.org/10.48550/arxiv.2208.10071" @default.
- W4293113124 hasPublicationYear "2022" @default.
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