Mathematics – Geometric Topology
Scientific paper
1997-05-09
Geom. Topol. 1 (1997), 41-50
Mathematics
Geometric Topology
10 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol1/paper4.abs.html
Scientific paper
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.
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