Massey iterated products and closed geodesics
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929227796840448 |
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| author | Ndombol, Bitjong Thomas, Jean-Claude. |
| author_facet | Ndombol, Bitjong Thomas, Jean-Claude. |
| contents | 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 $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00609 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Massey iterated products and closed geodesics Ndombol, Bitjong Thomas, Jean-Claude. Algebraic Topology 16E40 (primary) 16E45, 55P35, 55Pxx, 57T30, 57T05 (secondary) 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 $X$. |
| title | Massey iterated products and closed geodesics |
| topic | Algebraic Topology 16E40 (primary) 16E45, 55P35, 55Pxx, 57T30, 57T05 (secondary) |
| url | https://arxiv.org/abs/2312.00609 |