Matthew Hogancamp
Published 2019-12-09Version 1
We prove a general version of the homological perturbation lemma which works in the presence of curvature, and without the restriction to strong deformation retracts, building on work of Markl. A key observation is that the notion of strong homotopy equivalence of complexes (or objects in an abstract dg category) has a natural expression in the language of curved twisted complexes.
Cylinders for non-symmetric DG-operads via homological perturbation theory
On the homotopy transfer of $A_\infty$ structures
Comments on the shifts and the signs in A-infinity categories
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