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math.AG2019★ 19 cited
Curve counting via stable objects in derived categories of Calabi-Yau 4-folds
Yalong Cao, Yukinobu Toda
In our previous paper with Maulik, we proposed a conjectural Gopakumar-Vafa (GV) type formula for the generating series of stable pair invariants on Calabi-Yau (CY) 4-folds. The pu…
math.AG2019★ 37 cited
Curve counting and DT/PT correspondence for Calabi-Yau 4-folds
Yalong Cao, Martijn Kool
Recently, Cao-Maulik-Toda defined stable pair invariants of a compact Calabi-Yau 4-fold . Their invariants are conjecturally related to the Gopakumar-Vafa type invariants of …
math.AG2019★ 20 cited
Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau 4-folds
Yalong Cao, Davesh Maulik, Yukinobu Toda
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 pa…