Seifert fibred homology 3-spheres and the Yang-Mills equations on Riemann surfaces with marked points (Q1206502)

The authors study the periodic homology groups \(HI_ *(\Sigma)\) of Floer when \(\Sigma\) is a Seifert fibred homology sphere. Their approach is through Riemann surfaces and the Yang-Mills equations. The main objects of their approach are \(V\)-surfaces and \(V\)-bundles. The authors extend the Yang-Mills theory to Riemann \(V\)-surfaces and then apply it to give information on the moduli spaces of representations of the fundamental group of a closed compact Seifert fibred orbifold. They also show that moduli spaces are torsion-free smooth varieties, without odd dimensional homology if the base is the Riemann sphere with marked points.