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August, 2004 Nonisotopic symplectic tori in the fiber class
Stefano Vidussi
J. Symplectic Geom. 2(2): 207-218 (August, 2004).

Abstract

The purpose of this note is to present a construction of an infinite family of symplectic tori Tp,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 ij, 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.

Citation

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Stefano Vidussi. "Nonisotopic symplectic tori in the fiber class." J. Symplectic Geom. 2 (2) 207 - 218, August, 2004.

Information

Published: August, 2004
First available in Project Euclid: 1 September 2004

zbMATH: 1078.57025
MathSciNet: MR2108374

Rights: Copyright © 2004 International Press of Boston

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Vol.2 • No. 2 • August, 2004
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