English

An effective estimate on Betti numbers

Differential Geometry 2022-09-19 v1

Abstract

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 \cite{Chen} after taking the radius of the tube to infinity.

Cite

@article{arxiv.2209.08085,
  title  = {An effective estimate on Betti numbers},
  author = {Lei Ni},
  journal= {arXiv preprint arXiv:2209.08085},
  year   = {2022}
}
R2 v1 2026-06-28T01:28:16.243Z