Nonisotopic symplectic tori in the fiber class

Vidussi, Stefano

J. Symplectic Geom., Tome 2 (2004) no. 2, p. 207-218 / Harvested from Project Euclid

Résumé

The purpose of this note is to present a construction of an infinite family of symplectic tori T^p,q representing an arbitrary multiple q[F] of the homology class [F] of the fiber of an elliptic surface E(n), for n ≥ 3, such that, for i ≠ j, there is no orientation-preserving diffeomorphism between (E(n), T^(i,q)) and (E(n), T^(i,q)). In particular, these tori are mutually nonisotopic. This complements previous results of Fintushel and Stern in [FS2], showing in particular the existence of such phenomenon for a primitive class.

Publié le : 2004-08-14
Classification:

@article{1094072004,
     author = {Vidussi, Stefano},
     title = {Nonisotopic symplectic tori in the fiber class},
     journal = {J. Symplectic Geom.},
     volume = {2},
     number = {2},
     year = {2004},
     pages = { 207-218},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1094072004}
}

Vidussi, Stefano. Nonisotopic symplectic tori in the fiber class. J. Symplectic Geom., Tome 2 (2004) no. 2, pp.  207-218. http://gdmltest.u-ga.fr/item/1094072004/