Computing Small 1-Homological Models for Commutative Differential Graded Algebras

Details Computing Small 1-Homological Models for Commutative Differential Graded Algebras Computing Small 1-Homological Models for Commutative Differential Graded Algebras

2001-10-31

arxiv.org/abs/math/0110331v1

Proceedings of the 3rd Workshop on Computer Algebra in Scientific Computing CASC'00 (2000) 87-100

Mathematics

Algebraic Topology

17 pages

Scientific paper

We use homological perturbation machinery specific for the algebra category [P. Real. Homological Perturbation Theory and Associativity. Homology, Homotopy and Applications vol. 2, n. 5 (2000) 51-88] to give an algorithm for computing the differential structure of a small 1--homological model for commutative differential graded algebras (briefly, CDGAs). The complexity of the procedure is studied and a computer package in Mathematica is described for determining such models.

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