The infinitesimal multiplicities and orientations of the blowup set of the SeibergWitten equation with multiple spinors
Abstract
I construct multiplicies and orientations of tangent cones to any blowup set $Z$ for the SeibergWitten equation with multiple spinors. This is used to prove that $Z$ determines a homology class, which is shown to be equal to the Poincaré dual of the first Chern class of the determinant line bundle. I also obtain a lower bound for the 1dimensional Hausdorff measure of $Z$.
 Publication:

arXiv eprints
 Pub Date:
 July 2016
 arXiv:
 arXiv:1607.01763
 Bibcode:
 2016arXiv160701763H
 Keywords:

 Mathematics  Geometric Topology;
 Mathematical Physics;
 Mathematics  Differential Geometry
 EPrint:
 v5: cosmetic changes mainly v4: extended version, main results clarified, new results added