English

Symplectic Tori in Homotopy E(1)'s

Geometric Topology 2007-05-23 v1 Symplectic Geometry

Abstract

This short note presents a simple construction of nonisotopic symplectic tori representing the same primitive homology class in the symplectic 4-manifold E(1)_K, obtained by knot surgery on the rational elliptic surface E(1) with the left-handed trefoil knot K. E(1)_K has the simplest homotopy type among simply-connected symplectic 4-manifolds known to exhibit such property.

Keywords

Cite

@article{arxiv.math/0401284,
  title  = {Symplectic Tori in Homotopy E(1)'s},
  author = {Stefano Vidussi},
  journal= {arXiv preprint arXiv:math/0401284},
  year   = {2007}
}

Comments

5 pages, 2 figures. To appear in Proc.Amer.Math.Soc

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