Geodesic
Regularization of almost complex structures and gluing holomorphic discs to tori
Sukhov, Alexandre1  ; Tumanov, Alexander2
1 Université des Sciences et Technologies de Lille Laboratoire Paul Painlevé U.F.R. de Mathématiques 59655 Villeneuve d’Ascq Cedex, France
2 University of Illinois Department of Mathematics 1409 West Green Street Urbana, IL 61801, USA
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 2, pp. 389-411

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We prove a result on removing singularities of almost complex structures pulled back by a non-diffeomorphic map. As an application we prove the existence of global J-holomorphic discs with boundaries attached to real tori.

Publié le :
Classification : 32H02, 53C15

Sukhov, Alexandre 1 ; Tumanov, Alexander 2

1 Université des Sciences et Technologies de Lille Laboratoire Paul Painlevé U.F.R. de Mathématiques 59655 Villeneuve d’Ascq Cedex, France
2 University of Illinois Department of Mathematics 1409 West Green Street Urbana, IL 61801, USA 
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     author = {Sukhov, Alexandre and Tumanov, Alexander},
     title = {Regularization of almost complex structures and gluing holomorphic discs to tori},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {389--411},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 10},
     number = {2},
     year = {2011},
     mrnumber = {2856153},
     zbl = {1228.32016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_2_389_0/}
}
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Sukhov, Alexandre; Tumanov, Alexander. Regularization of almost complex structures and gluing holomorphic discs to tori. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 10 (2011) no. 2, pp. 389-411. http://geodesic.mathdoc.fr/item/ASNSP_2011_5_10_2_389_0/