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arXiv · 1502.02553

Compactified configuration space of points on a line and homotopies of $A_\infty$ morphisms

Theo Backman
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Abstract

We construct a configuration space model for a particular 2-colored differential graded operad encoding the structure of two $A_\infty$ algebras with two $A_\infty$ morphisms and a homotopy between the morphisms. The cohomology of this operad is shown to be the well-known 2-colored operad encoding the structure of two associative algebras and of an associative algebra morphism between them.

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Theo Backman. 2015-02-09. Compactified configuration space of points on a line and homotopies of $A_\infty$ morphisms. https://arxiv.org/abs/1502.02553

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