Geometry & Topology Monographs, Vol. 7 (2004),
Proceedings of the Casson Fest,
Paper no. 13, pages 311--333.

Tori in symplectic 4-manifolds

Ronald Fintushel, Ronald J Stern

Abstract. We study the question of how many embedded symplectic or Lagrangian tori can represent the same homology class in a simply connected symplectic 4-manifold.

Keywords. 4-manifold, Seiberg-Witten invariant, symplectic, Lagrangian

AMS subject classification. Primary: 57R57. Secondary: 57R17.

E-print: arXiv:math.SG/0311332

Submitted to GT on 31 October 2003. (Revised 21 March 2004.) Paper accepted 2 April 2003. Paper published 20 September 2004.

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Ronald Fintushel, Ronald J Stern
Department of Mathematics, Michigan State University
East Lansing, Michigan 48824, USA
and
Department of Mathematics, University of California
Irvine, California 92697, USA

Email: ronfint@math.msu.edu, rstern@math.uci.edu

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