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In this paper we show that for a Koszul Calabi-Yau algebra, there is a shifted bi-symplectic structure in the sense of Crawley-Boevey-Etingof-Ginzburg, on the cobar construction of its co-unitalized Koszul… Click to show full abstract
In this paper we show that for a Koszul Calabi-Yau algebra, there is a shifted bi-symplectic structure in the sense of Crawley-Boevey-Etingof-Ginzburg, on the cobar construction of its co-unitalized Koszul dual coalgebra, and hence its DG representation schemes, in the sense of Berest-Khachatryan-Ramadoss, have a shifted symplectic structure in the sense of Pantev-To\"en-Vaqui\'e-Vezzosi.
Keywords:
calabi yau;
yau algebras;
symplectic structure;
algebras shifted;
structure;
shifted noncommutative
Journal Title: Advances in Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Advances in Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!