On chain link surgeries bounding rational homology balls and $\chi$-slice 3-braid closures
| Autor: | Brejevs, Vitalijs, Simone, Jonathan |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We determine which integral surgeries on a large class of circular chain links bound rational homology balls. Our key tool is the lattice-theoretic cubiquity obstruction recently developed by Greene and Owens. We discuss a practical method of computing it, and, as an application, prove that a generalisation of the slice--ribbon conjecture holds for all but one infinite family of quasi-alternating 3-braid links. This extends previous results of Lisca concerning the conjecture for 3-braid knots. Comment: Paper has been restructured to highlight the connection between 3-braid closures and chain link surgeries. 22 figures, 9 of which are full-page figures |
| Databáze: | arXiv |
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