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/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

The purpose of this paper is to study the relation between the   $C^0$  -topology and the topology induced by the spectral norm on the group of Hamiltonian diffeomorphisms of a closed symplectic manifold. Following the approach of Buhovsky–Humilière–Seyfaddini, we prove the   $C^0$  -continuity of the spectral norm for complex projective spaces and negative monotone symplectic manifolds. The case of complex projective spaces provides an alternative approach to the   $C^0$  -continuity of the spectral norm proven by Shelukhin. We also prove a partial   $C^0$  -continuity of the spectral norm for rational symplectic manifolds. Some applications such as the Arnold conjecture in the context of   $C^0$  -symplectic topology are also discussed.

On C 0 -Continuity of the Spectral Norm for Symplectically Non-Aspherical Manifolds