Blow-up流形的Gromov-Witten不变量的一个为零定理

摘要

A vanishing theorem of genus g GW-invariants of blow-ups of arbitrary symplectic manifolds is proved with utilizing the degeneration formula of GW-invariants.%利用GW-不变量在blow-up手术下的退化公式,证明了在一定条件下,任意辛流形的blow-up流形的任意亏格的GW-不变量的为零定理,推广了Gathmann的已有结果.