J-holomorphic cylinders between ellipsoids in dimension four

Richard K. Hind, Ely Kerman

Research output: Contribution to journalArticlepeer-review

Abstract

We establish the existence of regular J-holomorphic cylinders in 4-dimensional ellipsoid cobordisms that are asymptotic to Reeb orbits of small Conley-Zehnder index. We also give an independent proof of the existence of cylindrical holomorphic buildings in 4dimensional ellipsoid cobordisms under fairly general conditions.

Original languageEnglish (US)
Pages (from-to)1221-1245
Number of pages25
JournalJournal of Symplectic Geometry
Volume18
Issue number5
DOIs
StatePublished - 2020
Externally publishedYes

ASJC Scopus subject areas

  • Geometry and Topology

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