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arXiv · 1902.00003

Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau 4-folds

Yalong Cao·Davesh Maulik·Yukinobu Toda
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Abstract

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.

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Yalong Cao, Davesh Maulik, Yukinobu Toda. 2019-10-09. Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau 4-folds. https://doi.org/10.4171/jems%2F1110

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