论文标题

分支覆盖边界的理性同源球

Branched covers bounding rational homology balls

论文作者

Aceto, Paolo, Meier, Jeffrey, Miller, Allison N., Miller, Maggie, Park, JungHwan, Stipsicz, András I.

论文摘要

Prime Power折叠循环支盖沿平滑的打结所有结合的合理同源球。但是,这种现象并未表征切片结。在本文中,我们提供了具有上述属性的非滑动结的新结构。切片障碍物来自计算扭曲的亚历山大多项式,我们引入了新技术来简化其计算。

Prime power fold cyclic branched covers along smoothly slice knots all bound rational homology balls. This phenomenon, however, does not characterize slice knots. In this paper, we give a new construction of non-slice knots that have the above property. The sliceness obstruction comes from computing twisted Alexander polynomials, and we introduce new techniques to simplify their calculation.

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