弱有界上同调类及一个对Gromov猜想的反例
群论
2024-07-08 v2
摘要
我们给出一个有限展示群，其第二上同调包含一个弱有界但非有界的类。作为应用，我们否定了Gromov关于闭流形万有覆叠上微分形式的有界原像的一个长期猜想。
引用
@article{arxiv.2207.03972,
title = {Weakly bounded cohomology classes and a counterexample to a conjecture of Gromov},
author = {Dario Ascari and Francesco Milizia},
journal= {arXiv preprint arXiv:2207.03972},
year = {2024}
}
备注
21 pages, 9 figures. This version of the article has been accepted for publication, after peer review, in GAFA, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections