Fundamental groups, homology equivalences and one-sided h-cobordisms
Geometric Topology
2015-03-09 v2 Algebraic Topology
K-Theory and Homology
Abstract
We give a sufficient and necessary condition of the fundamental group homomorphism of a map between manifolds to induce homology equivalences. Moreover, a classification of one-sided h-cobordism of manifolds up to diffeomorphisms is obtained, based on Quillen's plus construction with Whitehead torsions.
Keywords
Cite
@article{arxiv.1301.6869,
title = {Fundamental groups, homology equivalences and one-sided h-cobordisms},
author = {Yang Su and Shengkui Ye},
journal= {arXiv preprint arXiv:1301.6869},
year = {2015}
}
Comments
to appear in Science China Mathematics