Geodesic
Spinc–structures and homotopy equivalences
Gompf, Robert E1
1 Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712-1082, USA
Geometry & topology, Tome 1 (1997) no. 1, pp. 41-50.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show that a homotopy equivalence between manifolds induces a correspondence between their spinc–structures, even in the presence of 2–torsion. This is proved by generalizing spinc–structures to Poincaré complexes. A procedure is given for explicitly computing the correspondence under reasonable hypotheses.

DOI : 10.2140/gt.1997.1.41
Keywords: 4–manifold, Seiberg–Witten invariant, Poincaré complex

Gompf, Robert E 1

1 Department of Mathematics, The University of Texas at Austin, Austin, Texas 78712-1082, USA 
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Gompf, Robert E. Spinc–structures and homotopy equivalences. Geometry & topology, Tome 1 (1997) no. 1, pp. 41-50. doi : 10.2140/gt.1997.1.41. http://geodesic.mathdoc.fr/articles/10.2140/gt.1997.1.41/

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