Remarks on monotone Lagrangians in C^n

Jonathan David Evans, Jarek Kedra

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We derive some restrictions on the topology of a monotone Lagrangian submanifold L⊂Cn by making observations about the topology of the moduli space of Maslov 2 holomorphic discs with boundary on L and then using Damian’s theorem which gives conditions under which the evaluation map from this moduli space to L has nonzero degree. In particular, we prove that an orientable 3-manifold admits a monotone Lagrangian embedding in C3 only if it is a product, which is a variation on a theorem of Fukaya. Finally, we prove an h-principle for monotone Lagrangian immersions.
Original languageEnglish
Pages (from-to)1241-1255
Number of pages15
JournalMathematical Research Letters
Volume21
Issue number6
DOIs
Publication statusPublished - 2014

Fingerprint Dive into the research topics of 'Remarks on monotone Lagrangians in C^n'. Together they form a unique fingerprint.

  • Cite this