Stable Pairs and Gopakumar-Vafa Type Invariants for Calabi-Yau 4-folds
发布时间:2019年02月21日
浏览次数:6441
发布者: He Liu
主讲人: Yalong Cao (Oxford University)
活动时间: 从 2019-03-12 14:00 到 16:00
场地: 北京国际数学研究中心,全斋全9教室
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.