论文标题
构建理性同源性3个spheres，绑定了理性同源性4球
Constructing Rational Homology 3-Spheres That Bound Rational Homology 4-Balls
论文作者
论文摘要
我们介绍了三个大型的新示例，这些新示例的3个模型构成了4球的理性同源性。这些是使用此处定义的两个操作来构建的，这些操作保留了缺乏晶格嵌入到边界合理同源球上的障碍物。除了本文所示的情况外，这些操作是否是合理同源性的，它一般而言。 新例子的家属包括多种圆环结上的理性手术家庭，我们明确描述了我们现在知道的哪些正圆环结，可以进行理性同源球的范围。 虽然不是本文的重点，但我们暗中确认了新的，更复杂的树木结的示例，包括许多蒙特西诺斯结。
We present three large families of new examples of plumbed 3-manifolds that bound rational homology 4-balls. These are constructed using two operations, also defined here, that preserve the lack of a lattice embedding obstruction to bounding rational homology balls. Apart from in the cases shown in this paper, it remains open whether these operations are rational homology cobordisms in general. The families of new examples include a multitude of families of rational surgeries on torus knots, and we explicitly describe which positive torus knots we now know to have a surgery that bounds a rational homology ball. While not the focus of this paper, we implicitly confirm the slice-ribbon conjecture for new, more complicated, examples of arborescent knots, including many Montesinos knots.
