922 citations · 7.2k across the 348 of their papers we have counts for
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Positivity of supercritical LYZ pairs
Bowen Liu, Mao Sheng, Shing-Tung Yau
We introduce the roots of supercritical Leung--Yau--Zaslow pairs and prove pointwise strong positivity of the associated Schur forms. The resulting LYZ cones contain the pliant con…
Counting higher-rank sheaves on toric threefolds
Nicolo Piazzalunga, Artan Sheshmani, Shing-Tung Yau
We develop an equivariant K-theoretic vertex formalism for a colored, abelianized higher-rank sector on smooth projective toric threefolds . Nonzero first Chern classes are enco…
Stability of the Cotangent Bundle on Surfaces with Ample Canonical Class
Tristan C. Collins, Jason Lo, Yun Shi +1
In this article, we study the Bridgeland stability of the cotangent bundle on K3 surfaces and surfaces with ample canonical class. On a surface with ample canonical class ,…
Lagrangian correspondences of nonabelian Hodge type and shifted twistor structures
Jacob Kryczka, Yuuji Tanaka, Shing-Tung Yau
Classical nonabelian Hodge theory identifies Dolbeault and de Rham moduli spaces by providing a real-analytic isomorphism. In this paper, motivated by the Kapustin--Witten theory,…