Inroducing the Bauer-Furuta invariants lifting Seiberg-Witten invariants to equivariant stable homotopy groups of spheres (also referred to in this context via stable Cohomotopy):
Stefan Bauer, Mikio Furuta: A stable cohomotopy refinement of Seiberg-Witten invariants: I, Invent. math. 155 (2004) 1–19 [arXiv:math/0204340, doi:10.1007/s00222-003-0288-5]
Stefan Bauer: A stable cohomotopy refinement of Seiberg-Witten invariants: II, Invent. math. 155 (2004) 21–40 [arXiv:math/0204267, doi:10.1007/s00222-003-0289-4]
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