Transfer of A-infinity structures to projective resolutions
K-Theory and Homology
2018-01-29 v1 Commutative Algebra
Algebraic Topology
Abstract
We show that an A-infinity algebra structure can be transferred to a projective resolution of the complex underlying any A-infinity algebra. Under certain connectedness assumptions, this transferred structure is unique up to homotopy. In contrast to the classical results on transfer of A-infinity structures along homotopy equivalences, our result is of interest when the ground ring is not a field. We prove an analog for A-infinity module structures, and both transfer results preserve strict units.
Cite
@article{arxiv.1801.08933,
title = {Transfer of A-infinity structures to projective resolutions},
author = {Jesse Burke},
journal= {arXiv preprint arXiv:1801.08933},
year = {2018}
}