50 citations · 406 across the 26 of their papers we have counts for
4 papers · 1 filter
Mukai flops and Plücker type formulas for hyper-Kähler manifolds
Yalong Cao, Naichung Conan Leung
We study the intersection theory of complex Lagrangian subvarieties inside holomorphic symplectic manifolds. In particular, we study their behaviour under Mukai flops and give a ri…
Remarks on mirror symmetry of Donaldson-Thomas theory for Calabi-Yau 4-folds
Yalong Cao, Naichung Conan Leung
Motivated by Strominger-Yau-Zaslow's mirror symmetry proposal and Kontsevich's homological mirror symmetry conjecture, we study mirror phenomena (in A-model) of certain results fro…
Relative Donaldson-Thomas theory for Calabi-Yau 4-folds
Yalong Cao, Naichung Conan Leung
Given a complex 4-fold with an (Calabi-Yau 3-fold) anti-canonical divisor , we study relative Donaldson-Thomas invariants for this pair, which are elements in the Donaldson-…
Orientability for gauge theories on Calabi-Yau manifolds
Yalong Cao, Naichung Conan Leung
We study orientability issues of moduli spaces from gauge theories on Calabi-Yau manifolds. Our results generalize and strengthen those for Donaldson-Thomas theory on Calabi-Yau ma…