4 papers
Quasi-convergence of stability conditions
Daniel Halpern-Leistner, Jeffrey Jiang, Antonios-Alexandros Robotis
We develop a framework relating semiorthogonal decompositions of a triangulated category to paths in its space of stability conditions. We prove that when $\mathcal{C…
The Space of augmented stability conditions
Daniel Halpern-Leistner, Antonios-Alexandros Robotis
Given a triangulated category , we construct a partial compactification, denoted , of the quotient of its stability manifold by…
Properties of deformed mass and phase functions
Daniel Halpern-Leistner, Antonios-Alexandros Robotis
We establish basic properties of the deformed mass and phase functions on the space of stability conditions. We prove that these functions are continuous and deduce that the space…
The intrinsic approach to moduli theory
Jarod Alper, Daniel Halpern-Leistner
Moduli theory has captured the imagination of algebraic geometers for at least two centuries. Up until the end of the 20th century, moduli spaces were constructed and studied by ri…