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$L^2$ harmonic forms and the Seiberg-Witten map on non compact four manifolds. (arXiv:1807.06741v1 [math.DG])

来源于:arXiv
We explain a new phenomenon on non compact complete Riemannian four manifolds, where d^+ image of one forms can not exhaust densely on L^2 self dual forms on each compact subset, if a certain L^2 self dual harmonic form exists. This leads to construct a new functional analytic framework on the Seiberg-Witten map. 查看全文>>