Grafting Seiberg-Witten monopoles
Stanislav Jabuka
Abstract
We demonstrate that the operation of taking disjoint unions of J-holomorphic curves (and thus obtaining new J-holomorphic curves) has a Seiberg-Witten counterpart. The main theorem asserts that, given two solutions (Ai, psii), i=0,1 of the Seiberg-Witten equations for the Spinc-structure W+Ei= Ei direct sum (Ei tensor K-1) (with certain restrictions), there is a solution (A, psi) of the Seiberg-Witten equations for the Spinc-structure WE with E= E0 tensor E1, obtained by `grafting' the two solutions (Ai, psii).
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