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• W2078299949 abstract "This paper studies quadratic and Koszul duality for modules over positively graded categories. Typical examples are modules over a path algebra, which is graded by the path length, of a not necessarily finite quiver with relations. We present a very general definition of quadratic and Koszul duality functors backed up by explicit examples. This generalizes the work of Beilinson, Ginzburg, and Soergel, 1996, in two substantial ways: We work in the setup of graded categories, i.e. we allow infinitely many idempotents and also define a “Koszul” duality" @default.
• W2078299949 created "2016-06-24" @default.
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• W2078299949 date "2008-10-08" @default.
• W2078299949 modified "2023-09-26" @default.
• W2078299949 title "Quadratic duals, Koszul dual functors, and applications" @default.
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• W2078299949 doi "https://doi.org/10.1090/s0002-9947-08-04539-x" @default.
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