论文标题
没有Liouville填充的强烈填充的接触结构
Strongly fillable contact structures without Liouville fillings
论文作者
论文摘要
我们引入了一种阻碍Liouville和填充性较弱的新方法。使用此过程，我们表明，各种理性同源性3 spheres允许没有Liouville填充物的强烈填充的接触结构，这扩展了Brieskorn Spheres家族的Ghiggini的结果。我们还在Ghiggini和Van-Horn-Morris的猜想上取得了部分进步。
We introduce a new method to obstruct Liouville and weak fillability. Using this, we show that various rational homology 3-spheres admit strongly fillable contact structures without Liouville fillings, which extends the result of Ghiggini on a family of Brieskorn spheres. We also make partial progress on a conjecture of Ghiggini and Van-Horn-Morris.
