A twisted tale of cochains and connections
Algebraic Topology
2009-02-26 v1 Quantum Algebra
Abstract
Early in the history of higher homotopy algebra, it was realized that Massey products are homotopy invariants in a special sense, but it was the work of Tornike Kadeisvili that showed they were but a shadow of an A-infinity-structure on the homology of a differential graded algebra. Here we relate his work to that of Victor Gugenheim and K.T. (Chester) Chen. This paper is a personal tribute to Tornike and the Georgian school of homotopy theory as well as to Gugenheim and Chen, who unfortunately are not with us to appreciate this convergence.
Keywords
Cite
@article{arxiv.0902.4396,
title = {A twisted tale of cochains and connections},
author = {Jim Stasheff},
journal= {arXiv preprint arXiv:0902.4396},
year = {2009}
}
Comments
17 pages, in honor of the 60-th birthday of Tornike Kadeishvilli