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- W2743455775 abstract "In this expository note, we explain the so-called Van den Bergh functor, which enables the formalization of the Kontsevich-Rosenberg principle, whereby a structure on an associative algebra has geometric meaning if it induces standard geometric structures on its representation spaces. Crawley-Boevey, Etingof and Ginzburg proved that bi-symplectic forms satisfy this principle; this implies that bi-symplectic algebras can be regarded as noncommutative symplectic manifolds. In this note, we use the Van den Bergh functor to give an alternative proof." @default.
- W2743455775 created "2017-08-17" @default.
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- W2743455775 date "2017-08-08" @default.
- W2743455775 modified "2023-09-27" @default.
- W2743455775 title "The Kontsevich-Rosenberg principle for bi-symplectic forms" @default.
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