Remarks on monotone Lagrangians in Cn

Evans, Jonathan David and Kedra, Jarek (2015) Remarks on monotone Lagrangians in Cn. Mathematical Research Letters, 21 (6). pp. 1241-1255. ISSN 1073-2780

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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.

Item Type:
Journal Article
Journal or Publication Title:
Mathematical Research Letters
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
146543
Deposited By:
Deposited On:
17 Aug 2020 11:15
Refereed?:
Yes
Published?:
Published
Last Modified:
18 Nov 2020 07:46