Comments on the shifts and the signs in A-infinity categories
Algebraic Topology
2018-12-03 v1 High Energy Physics - Theory
Algebraic Geometry
Quantum Algebra
Abstract
We discuss that there exist at least two different choices in the signs of the induced A-infinity structures in shifting the degree of objects in an A-infinity category. We show that both of these choices are naturalin the sense that they are compatible with the homological perturbation theory of A-infinity categories. These different choices give different triangulated categories out of an A-infinity category.
Keywords
Cite
@article{arxiv.1811.12664,
title = {Comments on the shifts and the signs in A-infinity categories},
author = {Hiroshige Kajiura},
journal= {arXiv preprint arXiv:1811.12664},
year = {2018}
}