Geodesic
Target-local Gromov compactness
Fish, Joel W1
1 Department of Mathematics, Stanford University, Stanford CA 94305, USA
Geometry & topology, Tome 15 (2011) no. 2, pp. 765-826.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We prove a version of Gromov’s compactness theorem for pseudoholomorphic curves which holds locally in the target symplectic manifold. This result applies to sequences of curves with an unbounded number of free boundary components, and in families of degenerating target manifolds which have unbounded geometry (eg no uniform energy threshold). Core elements of the proof regard curves as submanifolds (rather than maps) and then adapt methods from the theory of minimal surfaces.

DOI : 10.2140/gt.2011.15.765
Keywords: pseudoholomorphic, compactness, pseudoholomorphic, target-local, $J$–curve

Fish, Joel W 1

1 Department of Mathematics, Stanford University, Stanford CA 94305, USA 
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Fish, Joel W. Target-local Gromov compactness. Geometry & topology, Tome 15 (2011) no. 2, pp. 765-826. doi : 10.2140/gt.2011.15.765. http://geodesic.mathdoc.fr/articles/10.2140/gt.2011.15.765/

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