Symplectic hypersurfaces in the complement of an isotropic submanifold

By D. Auroux, Damien Gayet, Jean-Paul Mohsen. 2001

50 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/03f793aac1ceaa6501ff269a1ed905423d068105

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Klaus Mohnke
2. Kai Cieliebak
3. James Pascaleff
4. Dmitry Tonkonog
5. M. Abouzaid

In Geometry and Topology

1. Kai Cieliebak
2. Klaus Mohnke
3. James Pascaleff
4. Dmitry Tonkonog
5. A. Oancea
6. Michael Hutchings
7. Alexander F. Ritter
8. Frederick J. Bourgeois III

Citations in the corpus

• The wall-crossing formula and Lagrangian mutations (2017, background): “Theorem 3.2 (Version of the Auroux-Gayet-Mohsen theorem, [8, Lemma 4.11]).”
• Punctured holomorphic curves and Lagrangian embeddings (2014, methodology): “We follow the proof in [5] (for compatibility with the notation in [5], we will replace D by k).”
• Symplectic hypersurfaces and transversality in Gromov-Witten theory (2007, background): “The extension to genus zero holomorphic curves with boundary on a Lagrangian submanifold as in Floer homology [11] relies on the existence of approximately holomorphic hypersurfaces in the complement of a Lagrangian submanifold due to Auroux, Gayet and Mohsen [3], and the extension to genus zero hol”