Computing Small 1-Homological Models for Commutative Differential Graded Algebras
Algebraic Topology
2011-05-19 v1 Commutative Algebra
Rings and Algebras
Abstract
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.
Cite
@article{arxiv.math/0110331,
title = {Computing Small 1-Homological Models for Commutative Differential Graded Algebras},
author = {Victor Alvarez and Jose Andres Armario and Maria Dolores Frau and Rocio Gonzalez-Diaz and Maria Jose Jimenez and Pedro Real and Beatriz Silva},
journal= {arXiv preprint arXiv:math/0110331},
year = {2011}
}
Comments
17 pages