# A Degeneration formula of Gromov-Witten invariants with respect to a curve class for degenerations from blow-ups

@article{Liu2004ADF, title={A Degeneration formula of Gromov-Witten invariants with respect to a curve class for degenerations from blow-ups}, author={Chien‐Hao Liu and Shing-Tung Yau}, journal={arXiv: Algebraic Geometry}, year={2004} }

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 Y1 ∪D Y2 that arises from a degeneration W/A 1 and a theory of relative Gromov-Witten invariants for a codimension-1 relative pair (Y,D). As a summit, he derived a degeneration formula that relates a finite summation of the usual Gromov-Witten invariants of a general smooth fiber Wt of W/A 1 to the Gromov-Witten invariants of the singular fiber…

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