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arXiv · 1912.03843

Homological perturbation theory with curvature

Matthew Hogancamp
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Abstract

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.

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Matthew Hogancamp. 2019-12-09. Homological perturbation theory with curvature. https://arxiv.org/abs/1912.03843

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