Symplectic Tori in Homotopy E(1)'s

Details Symplectic Tori in Homotopy E(1)'s Symplectic Tori in Homotopy E(1)'s

2004-01-21

arxiv.org/abs/math/0401284v1

Proc. Amer. Math. Soc. 133 (2005)

Mathematics

Geometric Topology

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

Scientific paper

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.

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