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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider a Heegaard splitting M = H 1 ∪ S H 2 of a 3-manifold M having an essential disk D in H 1 and an essential surface F in H 2 with |D ∩ F| = 1. From H 1 ∪ S H 2 , we obtain another Heegaard splitting H' 1 U S' H' 2 by removing a neighborhood of F from H 2 and attaching it to H 1 . As an application, by using a theorem due to Casson and Gordon, we give examples of 3-manifolds admitting two Heegaard splittings of distinct genera, where one of them is a strongly irreducible non-minimal genus splitting and it is obtained from the other by the above construction. We also show that all Heegaard splittings of a Seifert fibered space are related via the above construction.

Heegaard splittings with (disk, essential surface) pairs that intersect in one point