Transfer of A-infinity structures to projective resolutions
Jesse Burke
Abstract:We show that an A∞-algebra structure can be transferred to a projective resolution of the complex underlying any A∞-algebra. Under certain connectedness assumptions, this transferred structure is unique up to homotopy. In contrast to the classical results on transfer of A∞-structures along homotopy equivalences, our result is of interest when the ground ring is not a field. We prove an analog for A∞-module structures, and both transfer results preserve strict units.
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.