A removal singularity theorem of the Donaldson-Thomas instantons on compact Kähler threefolds

Abstract

We consider a perturbed Hermitian-Einstein equation, which we call the Donaldson-Thomas equation, on compact Kähler threefolds. In arXiv:0805.2195, we analysed some analytic properties of solutions to the equation, in particular, we proved that a sequence of solutions to the Donaldson-Thomas equation has a subsequence which smoothly converges to a solution to the Donaldson-Thomas equation outside a closed subset of the Hausdorff dimension two. In this article, we prove that some of these singularities can be removed.

12 pages, minor changes, to appear in Journal of Mathematical Analysis and Applications

References in corpus (3)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• A weak compactness theorem of the Donaldson-Thomas instantons on compact Kähler threefolds
• Compactification of the moduli spaces of vortices and coupled vortices

Cited by in corpus (3)

• Deformations of nearly Kähler instantons
• The DT-instanton equation on almost Hermitian 6-manifolds
• A stability of vector bundles with twisted sections and the Donaldson-Thomas instantons on compact Kähler threefolds