Changes to gluing patterns for fully augmented links are shown to result in generalized fully augmented links. The first changes considered result in –tangle surgeries on hyperbolic fully augmented links that produce hyperbolic generalized fully augmented links. These surgeries motivate the definition of nested links, and a characterization of hyperbolic nested links is given. Finally, the geometry of nested links is compared to that of fully augmented links.
"Hyperbolic tangle surgeries and nested links." Algebr. Geom. Topol. 18 (3) 1573 - 1602, 2018. https://doi.org/10.2140/agt.2018.18.1573