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arXiv · 1505.02945

Cylinders for non-symmetric DG-operads via homological perturbation theory

Fernando Muro
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Abstract

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 operad, yields the operad parametrizing A-infinity maps whose linear part is the identity. We also compute some other examples with non-trivial operations in arities 1 and 0.

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BibTeXRIS

Fernando Muro. 2015-05-12. Cylinders for non-symmetric DG-operads via homological perturbation theory. https://doi.org/10.1016/j.jpaa.2016.02.013

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