Massey iterated products and closed geodesics

Published 1 Dec 2023 in math.AT | (2312.00609v2)

Abstract: In this paper, we show that the existence of two sequences of Massey iterated product containing zero in the cohomology of a 1-connected CW complex of finite type $X$ directly bears on the unbounded growth of the Betti numbers of the free loop space of $X$.

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