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 study the space of holomorphic discs with boundary on a surface in a real2-dimensional vector bundle over a compact 2-manifold. We prove that, if theambient 4-manifold admits a fibre-preserving transitive holomorphic action,then a section with a single complex point has $C^{2,\alpha}$-close sectionssuch that any (non-multiply covered) holomorphic disc with boundary in thesesections are Fredholm regular.  Fredholm regularity is also established when the complex surface is neutralK\"ahler, the action is both holomorphic and symplectic, and the section isLagrangian with a single complex point.

Fredholm-Regularity of Holomorphic Discs in Plane Bundles over Compact Surfaces