论文标题
关于投影完成和量子Lefschetz公式的虚拟周期
Virtual cycles on projective completions and quantum Lefschetz formula
论文作者
论文摘要
对于具有（-1）缩短的cotangent束N的紧凑型准平滑派生方案M，至少有两种方法可以通过torus and cosection tocletation将n定位到m的虚拟周期，并由jiang-thomas引入。我们在投影完成和项目化上产生虚拟周期，并向前者展示下的循环，然后向下推到江鼠周期，而后者的循环则计算了差异。使用类似的想法，我们给出了Quintic和Twist twist Quintic GW不变的郭an-Janda-Ruan的差异的表达。
For a compact quasi-smooth derived scheme M with (-1)-shifted cotangent bundle N, there are at least two ways to localise the virtual cycle of N to M via torus and cosection localisations, introduced by Jiang-Thomas. We produce virtual cycles on both the projective completion and projectivisation and show the ones on the former push down to Jiang-Thomas cycles and the one on the latter computes the difference. Using similar ideas we give an expression for the difference of the quintic and t-twisted quintic GW invariants of Guo-Janda-Ruan.
