English

Massey iterated products and closed geodesics

Algebraic Topology 2024-01-31 v2

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 XX directly bears on the unbounded growth of the Betti numbers of the free loop space of XX.

Cite

@article{arxiv.2312.00609,
  title  = {Massey iterated products and closed geodesics},
  author = {Bitjong Ndombol and Jean-Claude. Thomas},
  journal= {arXiv preprint arXiv:2312.00609},
  year   = {2024}
}

Comments

there is many mistake in this version

R2 v1 2026-06-28T13:38:24.918Z