Gromov compactness for holomorphic discs with totally real boundary conditions

Frauenfelder U., Zehmisch K.

Research article (journal) | Peer reviewed

Abstract

We prove that a sequence of holomorphic discs with totally real boundary conditions has a subsequence that Gromov converges to a stable holomorphic map of genus zero with connected boundary provided that the sequence is bounded and has bounded energy.

Details about the publication

JournalJournal of Fixed Point Theory and Applications
Volume17
Issue3
Page range521-540
StatusPublished
Release year2015
Language in which the publication is writtenEnglish
DOI10.1007/s11784-015-0229-0
Link to the full texthttp://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84944511417&origin=inward
KeywordsGromov convergence; holomorphic discs; stable maps; Totally real boundary

Authors from the University of Münster

Zehmisch, Kai
Professur für Differentialgeometrie/Geometrische Analysis (Prof. Zehmisch)