Symplectic forms and surfaces of negative square

Li, Tian-Jun; Usher, Michael

J. Symplectic Geom., Tome 4 (2006) no. 1, p. 71-91 / Harvested from Project Euclid

Résumé

We introduce an analogue of the inflation technique of Lalonde--McDuff, allowing us to obtain new symplectic forms from symplectic surfaces of negative self-intersection in symplectic 4-manifolds. We consider the implications of this construction for the symplectic cones of Käahler surfaces, proving along the way a result which can be used to simplify the intersections of distinct pseudo-holomorphic curves via a perturbation.

Publié le : 2006-03-14
Classification:

@article{1154549059,
     author = {Li, Tian-Jun and Usher, Michael},
     title = {Symplectic forms and surfaces of negative square},
     journal = {J. Symplectic Geom.},
     volume = {4},
     number = {1},
     year = {2006},
     pages = { 71-91},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1154549059}
}

Li, Tian-Jun; Usher, Michael. Symplectic forms and surfaces of negative square. J. Symplectic Geom., Tome 4 (2006) no. 1, pp.  71-91. http://gdmltest.u-ga.fr/item/1154549059/