Homological perturbation theory with curvature
Algebraic Topology
2020-02-05 v2
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.
Keywords
Cite
@article{arxiv.1912.03843,
title = {Homological perturbation theory with curvature},
author = {Matthew Hogancamp},
journal= {arXiv preprint arXiv:1912.03843},
year = {2020}
}
Comments
21 pages. v2 adds section 2.5 on twists of contractible complexes