Following S. Bauer and M. Furuta we investigate finite dimensional approximations of a monopole map in the case b 1 = 0. We define a certain topological degree which is exactly equal to the Seiberg-Witten invariant. Using homotopy invariance of the topological degree a simple proof of the wall crossing formula is derived.
@article{bwmeta1.element.doi-10_2478_s11533-012-0125-4,
author = {Maciej Starostka},
title = {Seiberg-Witten invariants, the topological degree and wall crossing formula},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {2129-2137},
zbl = {1275.57040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0125-4}
}
Maciej Starostka. Seiberg-Witten invariants, the topological degree and wall crossing formula. Open Mathematics, Tome 10 (2012) pp. 2129-2137. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0125-4/
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