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Artículo
Homotopy units in A-infinity algebras
(American Mathematical Society, 2016-03)
We show that the canonical map from the associative operad to the unital associative operad is a homotopy epimorphism for a wide class of symmetric monoidal model categories. As a consequence, the space of unital associative ...
Artículo
Unital associahedra
(De Gruyter, 2014-03)
We construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A∞-algebras of Fukaya-Oh-Ohta-Ono.
Artículo
Cylinders for non-symmetric DG-operads via homological perturbation theory
(Elsevier, 2016-09)
We construct small cylinders for cellular non-symmetric DG-operads over an arbitrary commutative ring by using the basic perturbation lemma from homological algebra. We show that our construction, applied to the A-infinity ...