English

The Moduli Space of Thickenings

Algebraic Topology 2007-05-23 v1 Geometric Topology

Abstract

This paper studies the homotopy type of the moduli space of compact n-manifold thickenings of a finite complex. The main result computes the homotopy fibers of the stabilization map from n-thickenings to (n+1)-thickenings in a wide range. In particular, we obtain an EHP-type sequence for thickenings extending work of C.T.C. Wall.

Keywords

Cite

@article{arxiv.math/0702500,
  title  = {The Moduli Space of Thickenings},
  author = {Mokhtar Aouina},
  journal= {arXiv preprint arXiv:math/0702500},
  year   = {2007}
}
R2 v1 2026-07-22T17:51:14.549Z