Gopakumar-Vafa type invariants for Calabi-Yau 4-folds


Yalong Cao ( University of Oxford, UK )
2017-05-24  16:10 - 17:00
Room 101, Mathematics Research Center Building (ori. New Math. Bldg.)

As an analogy of Gopakumar-Vafa conjecture for CY 3-folds, Klemm-Pandharipande proposed GV type invariants on CY 4-folds using GW theory and conjectured their integrality. In this talk, we propose a sheaf theoretical interpretation to these invariants using Donaldson-Thomas theory on CY 4-folds. This is a joint work with Davesh Maulik and Yukinobu Toda.