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math.AG2004
Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs
Chien-Hao Liu, Shing-Tung Yau
The study of open/closed string duality and large duality suggests a Gromov-Witten theory for conifolds that sits on the border of both a closed Gromov-Witten theory and an ope…
math.AG2004★ 6 cited
A degeneration formula of Gromov-Witten invariants with respect to a curve class for degenerations from blow-ups
Chien-Hao Liu, Shing-Tung Yau
In two very detailed, technical, and fundamental works, Jun Li constructed a theory of Gromov-Witten invariants for a singular scheme of the gluing form that arises…
math.AG2004★ 6 cited
-fixed-points in hyper-Quot-schemes and an exact mirror formula for flag manifolds from the extended mirror principle diagram
Chien-Hao Liu, Kefeng Liu, Shing-Tung Yau
In [L-L-Y1, III: Sec. 5.4] on mirror principle, a method was developed to compute the integral for a flag manifold $X=\Fl_{r_1, ...…