An Effective Estimate on Betti Numbers

被引：0
|
作者：
Lei Ni
机构：
[1] University of California,Department of Mathematics
[2] San Diego,undefined
来源：
The Journal of Geometric Analysis | 2022年 / 32卷
关键词：
Betti numbers; Grauert tube; Harmonic functions; 53C22; 53C56; 32W20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide an effective estimate on the Betti numbers of the loop space of a compact manifold which admits a finite Grauert tube. It implies the polynomial estimate in Chen (arXiv:2101.04368, 2021) after taking the radius of the tube to infinity.
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