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

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 نشر من قبل Fernando Muro
 تاريخ النشر 2015
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 تأليف Fernando Muro




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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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