English

On Poincar\'e Surgery

Algebraic Topology 2025-04-04 v2 Geometric Topology

Abstract

We exhibit a homotopy theoretic proof of the Fundamental Theorem of Poincar\'e surgery in the simply connected case. We also deduce the Poincar\'e transversality exact sequence.

Cite

@article{arxiv.2503.20052,
  title  = {On Poincar\'e Surgery},
  author = {John R. Klein},
  journal= {arXiv preprint arXiv:2503.20052},
  year   = {2025}
}

Comments

Fixed typos and provided additional references

R2 v1 2026-06-28T22:34:25.815Z