-structures and homotopy equivalences.
Gompf, Robert E. (1997)
Geometry & Topology
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Displaying similar documents to “Seiberg-Witten invariants, the topological degree and wall crossing formula”
-structures and homotopy equivalences.
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On S(2) and S(2) · S(1) structures in 8-dimensional vector bundles.
Martin Cadek, Jirí Vanzura (1997)
Publicacions Matemàtiques
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Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can be reduced to S(2) or S(2) · S(1) if and only if the vector bundle associated to ξ via a certain outer automorphism of the group Spin(8) has 3 linearly independent sections or contains a 3-dimensional subbundle. Necessary and sufficient conditions for the existence of an S(2)- structure in ξ over a closed connected spin manifold of dimension 8 are also given in terms of characteristic classes. ...