Abstract
We show that a homotopy equivalence between manifolds induces a correspondence between their spin–structures, even in the presence of 2–torsion. This is proved by generalizing spin–structures to Poincaré complexes. A procedure is given for explicitly computing the correspondence under reasonable hypotheses.
Citation
Robert E Gompf. "$\mathrm{Spin}^c$–structures and homotopy equivalences." Geom. Topol. 1 (1) 41 - 50, 1997. https://doi.org/10.2140/gt.1997.1.41
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