75 citations · 334 across the 43 of their papers we have counts for
50 papers
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 ,…
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 distributio…
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…
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…