Does anybody know a software manipulating commutative differential graded algebras, and providing a computation of the minimal model? I tried to use the package DGAlgebras of Macaulay2, but I got several mistakes. For example the rational numbers are not allowed as ground ring, and the differential on a generator of a free CDGA is not allowed to be zero. Thanks

  • $\begingroup$ Did you ask Yves Felix or Pascal? I have heard rumors of a probably like this written in C. Don $\endgroup$ – Don Stanley Jun 26 '11 at 18:12

SageMath has a package for cdga's written by Miguel Marco and John Palmieri, with none of the restrictions mentioned: http://doc.sagemath.org/html/en/reference/algebras/sage/algebras/commutative_dga.html.

It includes a method to produce the minimal model of a cdga up to a prescribed finite degree.

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  • 2
    $\begingroup$ To give credit where it's due, Miguel wrote the minimal model parts, not me. $\endgroup$ – John Palmieri Aug 14 '19 at 18:20

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