100,129 research outputs found
Donaldson-Thomas invariants and wall-crossing formulas
Notes from the report at the Fields institute in Toronto. We introduce the
Donaldson-Thomas invariants and describe the wall-crossing formulas for
numerical Donaldson-Thomas invariants.Comment: 18 pages. To appear in the Fields Institute Monograph Serie
A removal singularity theorem of the Donaldson-Thomas instantons on compact K\"ahler threefolds
We consider a perturbed Hermitian-Einstein equation, which we call the
Donaldson-Thomas equation, on compact K\"ahler 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.Comment: 12 pages, minor changes, to appear in Journal of Mathematical
Analysis and Application
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