922 citations · 7.2k across the 348 of their papers we have counts for
84 papers · 1 filter
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,…
Tropicalization of super Gromov-Witten invariants
Artan Sheshmani, Shing-Tung Yau, Benjamin Zhou
We show that genus-0, Neveu-Schwarz marked, super Gromov-Witten invariants of a convex, toric variety can be defined and computed using tropical geometry. When is a poi…
Mirror symmetry for singular double cover Calabi--Yau varieties: quantum test
Tsung-Ju Lee, Bong H. Lian, Shing-Tung Yau
We continue our study on the pairs of singular Calabi--Yau varieties arising from double covers over semi-Fano toric manifolds. In this paper, we first investigate singular CY doub…
A D-brane fantasy on noncommutative mirror symmetry, prelude: Noncommutative ringed spaces from local noncommutative crepant resolutions of a singular Calabi-Yau space, dynamical D-branes thereupon, and questions beyond
Chien-Hao Liu, Shing-Tung Yau
In contrast to the world-sheet of a fundamental string, the world-volume of stacked D-branes carries an Azumaya noncommutative structure ([L-Y1: Sec.\ 2] (D(1))), allowing it to di…