Moduli spaces of instantons on toric noncommutative manifolds

Simon Brain, Giovanni Landi, Walter D. van Suijlekom
2013 Advances in Theoretical and Mathematical Physics  
We study analytic aspects of U(n) gauge theory over a toric noncommutative manifold M θ . We analyse moduli spaces of solutions to the selfdual Yang-Mills equations on U(2) vector bundles over four-manifolds M θ , showing that each such moduli space is either empty or a smooth Hausdorff manifold whose dimension we explicitly compute. In the special case of the four-sphere S 4 θ we find that the moduli space of U(2) instantons with fixed second Chern number k is a smooth manifold of dimension 8k
more » ... old of dimension 8k − 3. e-print archive:
doi:10.4310/atmp.2013.v17.n5.a5 fatcat:5pdnnf3zvbfuhmmyusuforhwxi