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- W2949754554 abstract "We extend the theory of chiral and factorization algebras, developed for curves by Beilinson and Drinfeld in cite{bd}, to higher-dimensional varieties. This extension entails the development of the homotopy theory of chiral and factorization structures, in a sense analogous to Quillen's homotopy theory of differential graded Lie algebras. We prove the equivalence of higher-dimensional chiral and factorization algebras by embedding factorization algebras into a larger category of chiral commutative coalgebras, then realizing this interrelation as a chiral form of Koszul duality. We apply these techniques to rederive some fundamental results of cite{bd} on chiral enveloping algebras of $star$-Lie algebras." @default.
- W2949754554 created "2019-06-27" @default.
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- W2949754554 date "2011-03-30" @default.
- W2949754554 modified "2023-09-23" @default.
- W2949754554 title "Chiral Koszul duality" @default.
- W2949754554 cites W1567120488 @default.
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