A twisted tale of cochains and connections

Details A twisted tale of cochains and connections A twisted tale of cochains and connections

2009-02-25

arxiv.org/abs/0902.4396v1

Mathematics

Algebraic Topology

17 pages, in honor of the 60-th birthday of Tornike Kadeishvilli

Scientific paper

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.

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