English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Menasco proved that nontrivial links in the 3-sphere with connected primealternating non-2-braid projections are hyperbolic. This was further extendedto augmented alternating links wherein non-isotopic trivial components boundingdisks punctured twice by the alternating link were added. Lackenby proved thatthe first and second collections of links together form a closed subset of theset of all finite volume hyperbolic 3-manifolds in the geometric topology.Adams showed hyperbolicity for generalized augmented alternating links, whichinclude additional trivial components that bound n-punctured disks for $n \geq2$. Here we prove that generalized augmented cellular alternating links inI-bundles over closed surfaces are also hyperbolic and that in $S \times I$,the cellular alternating links and the augmented cellular alternating togetherform a closed subset of finite volume hyperbolic 3-manifolds in the geometrictopology. Explicit examples of additional links in $S \times I$ to which theseresults apply are included.

Generalized Augmented Cellular Alternating Links in Thickened Surfaces are Hyperbolic