50 citations · 406 across the 26 of their papers we have counts for
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Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi-Yau 4-folds
Yalong Cao, Jacob Gross, Dominic Joyce
This paper concerns orientability of moduli spaces of Spin(7)-instantons on compact 8-manifolds with Spin(7)-structure for the Lie groups SU() and U(), and of moduli spac…
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…
Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds
Yalong Cao, Davesh Maulik, Yukinobu Toda
In analogy with the Gopakumar-Vafa conjecture on CY 3-folds, Klemm and Pandharipande defined GV type invariants on Calabi-Yau 4-folds using Gromov-Witten theory and conjectured the…
Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds II: Fano 3-folds
Yalong Cao
In analogy with the Gopakumar-Vafa (GV) conjecture on Calabi-Yau (CY) 3-folds, Klemm and Pandharipande defined GV type invariants on Calabi-Yau 4-folds using Gromov-Witten theory a…