Stable Pairs and Gopakumar-Vafa Type Invariants for Calabi-Yau 4-folds
Time: 2019-02-21
Published By: He Liu
Speaker(s): Yalong Cao (Oxford University)
Time: 14:00-16:00 March 12, 2019
Venue: Room 9, Quan Zhai, BICMR
As an analogy to Gopakumar-Vafa conjecture on CY 3-folds, Klemm-Pandharipande defined GV type invariants on CY 4-folds using GW theory and conjectured their integrality. In this paper, we define stable pair type invariants on CY 4-folds and use them to interpret these GV type invariants. Examples are computed for both compact and non-compact CY 4-folds to support our conjectures. This is a joint work with Davesh Maulik and Yukinobu Toda.