59 citations · 223 across the 20 of their papers we have counts for
4 papers · 1 filter
Stable sheaves with twisted sections and the Vafa-Witten equations on smooth projective surfaces
Yuuji Tanaka
This article describes a Hitchin-Kobayashi style correspondence for the Vafa-Witten equations on smooth projective surfaces. This is an equivalence between a suitable notion of sta…
Some boundedness properties of solutions to the Vafa-Witten equations on closed four-manifolds
Yuuji Tanaka
We consider a set of gauge-theoretic equations on closed oriented four-manifolds, which was introduced by Vafa and Witten. The equations involve a triple consisting of a connection…
A stability of vector bundles with twisted sections and the Donaldson-Thomas instantons on compact Kähler threefolds
Yuuji Tanaka
We consider a version of Hermitian-Einstein equation but perturbed by a Higgs field with a solution called a Donaldson-Thomas instanton on compact Kähler threefolds. The equation c…
A removal singularity theorem of the Donaldson-Thomas instantons on compact Kähler threefolds
Yuuji Tanaka
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 proper…