A twisted tale of cochains and connections
Abstract
Description
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.
17 pages, in honor of the 60-th birthday of Tornike Kadeishvilli
17 pages, in honor of the 60-th birthday of Tornike Kadeishvilli