English

PL cobordism and classification of PL manifolds

Algebraic Topology 2024-07-22 v1 Geometric Topology

Abstract

In this paper, we present more conclusions for C(PL)C^\ast(\mathrm{PL}) and oriented PL cobordism, and compute the string PL bordism groups of certain dimensions. Then, we apply these results to classify certain PL manifolds of dimensions 1010 and 1313.

Keywords

Cite

@article{arxiv.2407.14028,
  title  = {PL cobordism and classification of PL manifolds},
  author = {Wen Shen},
  journal= {arXiv preprint arXiv:2407.14028},
  year   = {2024}
}