论文标题
符号和接触切割的功能性,以及径向径向方形的爆炸
Functoriality for symplectic and contact cutting, and equivariant radial-squared blowups
论文作者
论文摘要
我们展示了Lerman的切割程序作为函数函数,来自歧管类别的函数,配备了边界附近的自由圆形动作,并带有所谓的Eproivariant横向图,以到歧管和平滑地图的类别。然后,我们将切割程序应用于不一定是符合性的差分形式,不一定是接触的分布以及子延伸。我们从所谓的radial径向爆炸中获得一个反函子。
We exhibit Lerman's cutting procedure as a functor from the category of manifolds-with-boundary equipped with free circle actions near the boundary, with so-called equivariant transverse maps, to the category of manifolds and smooth maps. We then apply the cutting procedure to differential forms that are not necessarily symplectic, to distributions that are not necessarily contact, and to submanifolds. We obtain an inverse functor from so-called equivariant radial-squared blowup.