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math.SG2006★ 6 cited
Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut
Chien-Hao Liu, Shing-Tung Yau
We study the degeneration and the gluing of Kuranishi structures in Gromov-Witten theory under a symplectic cut. This leads us to a degeneration axiom and a gluing axiom for open G…
math.SG2002★ 1 cited
Symplectic conifold transitions
I. Smith, R. P. Thomas, S. -T. Yau
We introduce a symplectic surgery in six dimensions which collapses Lagrangian three-spheres and replaces them by symplectic two-spheres. Under mirror symmetry it corresponds to an…