论文标题
符号帽
Symplectic hats
论文作者
论文摘要
我们研究了接触子曼菲尔德之间的相对符号伴侣，尤其是我们称之为帽子的空集的相对符号恢复性。虽然我们在更高的维度上进行了一些观察，但我们专注于标准3速率中的横向结的情况，以及在（刺破）复杂的射击平面的爆炸中的帽子。我们应用构造以对三个球体的双盖填充物的代数拓扑构成限制，该填充物在某些横向准阳性结上分支。
We study relative symplectic cobordisms between contact submanifolds, and in particular relative symplectic cobordisms to the empty set, that we call hats. While we make some observations in higher dimensions, we focus on the case of transverse knots in the standard 3-sphere, and hats in blow-ups of the (punctured) complex projective planes. We apply the construction to give constraints on the algebraic topology of fillings of double covers of the 3-sphere branched over certain transverse quasipositive knots.
