(20.11.) GV invariants for non-toric local CY threefolds:
Andres Collinucci (Université Libre de Bruxelles)
20.11.2025 at 16:15
Gopakumar-Vafa invariants of noncompact CY threefolds have been studied extensively for decades, however, mainly for toric cases. Yet, there exists a whole world of interesting non-toric threefolds that, much like the conifold, admit small resolutions. These have very peculiar properties: They admit GV invariants of higher degrees, corresponding to M2-brane bound states. In this talk, I will explain how these threefolds are constructed as quiver representations, and will present a novel way for computing their GV invariants, invoking the duality of M-theory on C^*-fibered threefolds to IIA string theory in the presence of D6-branes. Finally, I will present the early stages of ongoing work on computing stability conditions for orbifolds of such spaces.
A348