Simple-type conjecture for Seiberg–Witten invariants
Simple-type conjecture for Seiberg–Witten invariants
Let be a manifold of simple type. For a choice of -structure , let be the Seiberg–Witten moduli space and let . Simple-type conjecture. The only non-trivial Seiberg–Witten invariants correspond to choices of such that
This conjecture asserts that positive-dimensional Seiberg–Witten moduli spaces do not contribute non-trivial invariants for manifolds of simple type. The source calls it a related conjecture but provides no resolution evidence.
Sources & referencesView supporting material
Primary source
M. Marcolli, “Notes on Seiberg-Witten Gauge Theory”, arXiv:dg-ga/9509005 (1995).
Progress summary
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