Gromov-Witten不变量沿曲线与曲面的加权吹胀公式

Weighted blowup formulae of Gromov-Witten invariants along curves and surfaces

本文研究当一个闭辛流形X沿着2维和4维辛子流形S(即辛曲线或辛曲面)作加权吹胀(weighted blowup)时它的Gromov-Witten不变量的变化情形.在关于丛TX|S的(半)正性的假设下,本文得到整洁的加权吹胀公式.

In this paper,we study the change of Gromov-Witten invariants under weighted blowups of a closed symplectic manifold X along a dimension 2 or 4 symplectic submanifold S,i.e.,a symplectic curve or surface.Under the(semi-)positivity assumption on the bundle T X|S,we prove some clean weighted blowup formulae of Gromov-Witten invariants.