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

Published 30 Jan 2019 in math.AG, hep-th, math-ph, and math.MP | (1902.00003v2)

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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