SFU NTAG Seminar: Felix Thimm

Donaldson–Thomas and Pandharipande–Thomas invariants are two ways of counting curves in Calabi-Yau 3-folds, related by a change of stability conditions. Wall-crossing is a technique that allows us to compare enumerative invariants under such a change in stability condition. It has emerged as a powerful tool for computations and in the study of properties of generating series of various types of enumerative invariants. I will present joint work with N. Kuhn and H. Liu on how to use (virtual) localization to wall-cross more general invariants with descendant insertions. In the process I will explain how Juanolou's trick from classical algebraic geometry comes in as a useful and central ingredient.