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math.DG2014★ 7 cited
A perturbation and generic smoothness of the Vafa-Witten moduli spaces on closed symplectic four-manifolds
Yuuji Tanaka
We prove a Freed-Uhlenbeck style generic smoothness theorem for the moduli space of solutions to the Vafa--Witten equations on a closed symplectic four-manifold by using a method d…
math.DG2014
Seiberg-Witten type equations on compact symplectic 6-manifolds
Yuuji Tanaka
In this article, we consider a gauge-theoretic equation on compact symplectic 6-manifolds, which forms an elliptic system after gauge fixing. This can be thought of as a higher-dim…