Spin^c structures and homotopy equivalences
Geometric Topology
2014-11-11 v2
Abstract
We show that a homotopy equivalence between manifolds induces a correspondence between their spin^c-structures, even in the presence of 2-torsion. This is proved by generalizing spin^c-structures to Poincare complexes. A procedure is given for explicitly computing the correspondence under reasonable hypotheses.
Cite
@article{arxiv.math/9705218,
title = {Spin^c structures and homotopy equivalences},
author = {Robert E. Gompf},
journal= {arXiv preprint arXiv:math/9705218},
year = {2014}
}
Comments
10 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol1/paper4.abs.html