4 papers
Gopakumar-Vafa type invariants on Calabi-Yau 4-folds via descendent insertions
Yalong Cao, Yukinobu Toda
The Gopakumar-Vafa type invariants on Calabi-Yau 4-folds (which are non-trivial only for genus zero and one) are defined by Klemm-Pandharipande from Gromov-Witten theory, and their…
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 …
Counting zero-dimensional subschemes in higher dimensions
Yalong Cao, Martijn Kool
Consider zero-dimensional Donaldson-Thomas invariants of a toric threefold or toric Calabi-Yau fourfold. In the second case, invariants can be defined using a tautological insertio…
Counting conics on sextic 4-folds
Yalong Cao
We study rational curves of degree two on a smooth sextic 4-fold and their counting invariant defined using Donaldson-Thomas theory of Calabi-Yau 4-folds. By comparing it with the…