Robert E. Gompf
Published 1997-05-09, updated 1997-10-23Version 2
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.
Comments: 10 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol1/paper4.abs.html
Journal: Geom. Topol. 1 (1997), 41-50
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