Title: Canonical deformations of De Rham complexes

Publication status: appeared in: Advances in Math. 115 (1995).

We consider some classes of noncommutative deformations A_{q} of the polynomial algebra A. To each such deformation we show how the De Rham - Koszul complex can be deformed too. This is the canonical deformation. The top degree part of the deformed De Rham complex turns out to be the balanced dualizing complex oa A_{q}, as defined in an earlier paper.

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