6 papers
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…
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 distributi…
Bridgeland/Weak Stability Conditions under Spherical Twist Associated to A Torsion Sheaf
Tristan C. Collins, Jason Lo, Yun Shi +1
In this paper, we study the action of an autoequivalence, the spherical twist associated to a torsion sheaf, on the standard Bridgeland stability conditions and a generalized weak…
Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover
Tristan C. Collins, Henri Guenancia
We study various geometric properties of log Calabi-Yau manifolds, i.e. log smooth pairs such that . More specifically, we focus on the two cases where is a Fa…
An introduction to conifold transitions
Tristan C. Collins
These lecture notes introduce conifold transitions between complex threefolds with trivial canonical bundle from the differential geometric point of view, and with a particular vie…
Weak Stability Conditions as Limits of Bridgeland Stability Conditions
Tristan C. Colllins, Jason Lo, Yun Shi +1
In this paper, we give a definition of weak stability condition on a triangulated category. The difference between our definition and existing definitions is that we allow objects…