Abstract
Prime power–fold cyclic branched covers along smoothly slice knots all bound rational homology balls. This phenomenon, however, does not characterize slice knots. We give a new construction of nonslice knots that have the above property. The sliceness obstruction comes from computing twisted Alexander polynomials, and we introduce new techniques to simplify their calculation.
Citation
Paolo Aceto. Jeffrey Meier. Allison N Miller. Maggie Miller. JungHwan Park. András I Stipsicz. "Branched covers bounding rational homology balls." Algebr. Geom. Topol. 21 (7) 3569 - 3599, 2021. https://doi.org/10.2140/agt.2021.21.3569
Information