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math.AG2026
Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class
Tristan C. Collins, Jason Lo, Yun Shi +1
In this article, we study the Bridgeland stability of the cotangent bundle on K3 surfaces and surfaces with ample canonical class. On a surface with ample canonical class ,…
math.DG2026
The deformed Vortex equations and equivariant stability conditions
Tristan C. Collins, Yukai Zhang
We study the higher rank deformed Hermitian-Yang-Mills (dHYM) equations for -equivariant holomorphic vector bundles over for a compact Riemann sur…
math.DG2026
Non-Kähler Special Lagrangian submanifolds and SYZ mirror symmetry
Tristan C. Collins, Francesca Lusetti, Adriano Tomassini
We determine purely algebraic equations to identify \textit{SLags} generated by invariant distributions in a class of non-Kähler Calabi-Yau manifolds. We determine SLag distributio…