English

Controlled surgery with trivial local fundamental groups

Geometric Topology 2007-05-23 v1 Algebraic Topology

Abstract

We provide a proof of the controlled surgery sequence, including stability, in the special case that the local fundamental groups are trivial. Stability is a key ingredient in the construction of exotic homology manifolds by Bryant, Ferry, Mio and Weinberger, but no proof has been available. The development given here is based on work of M. Yamasaki.

Cite

@article{arxiv.math/0111269,
  title  = {Controlled surgery with trivial local fundamental groups},
  author = {Erik Pedersen and Frank Quinn and Andrew Ranicki},
  journal= {arXiv preprint arXiv:math/0111269},
  year   = {2007}
}

Comments

5 pages

R2 v1 2026-07-22T16:41:46.759Z