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- W4221142757 abstract "We show that relative Calabi--Yau structures on noncommutative moment maps give rise to (quasi-)bisymplectic structures, as introduced by Crawley-Boevey-Etingof-Ginzburg (in the additive case) and Van den Bergh (in the multiplicative case). We prove along the way that the fusion process (a) corresponds to the composition of Calabi-Yau cospans with pair-of-pants ones, and (b) preserves the duality between non-degenerate double quasi-Poisson structures and quasi-bisymplectic structures. As an application we obtain that Van den Bergh's Poisson structures on the moduli spaces of representations of deformed multiplicative preprojective algebras coincide with the ones induced by the 2-Calabi-Yau structures on (dg-versions of) these algebras." @default.
- W4221142757 created "2022-04-03" @default.
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- W4221142757 date "2022-03-27" @default.
- W4221142757 modified "2023-10-18" @default.
- W4221142757 title "Calabi-Yau structures on (quasi-)bisymplectic algebras" @default.
- W4221142757 doi "https://doi.org/10.1017/fms.2023.88" @default.
- W4221142757 hasPublicationYear "2022" @default.
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