Grafting Seiberg-Witten monopoles
Symplectic Geometry
2014-10-01 v2
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 (A_i, psi_i), i=0,1 of the Seiberg-Witten equations for the Spin^c-structure W^+_{E_i}= E_i direct sum (E_i tensor K^{-1}) (with certain restrictions), there is a solution (A, psi) of the Seiberg-Witten equations for the Spin^c-structure W_E with E= E_0 tensor E_1, obtained by `grafting' the two solutions (A_i, psi_i).
Keywords
Cite
@article{arxiv.math/0110285,
title = {Grafting Seiberg-Witten monopoles},
author = {Stanislav Jabuka},
journal= {arXiv preprint arXiv:math/0110285},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-7.abs.html