Non-isotopic Symplectic Tori in the Same Homology Class

Abstract

For any pair of integers $n\ge 1$ and $q\ge 2$, we construct an infinite family of mutually non-isotopic symplectic tori representing the homology class $q[F]$ of an elliptic surface E(n), where $[F]$ is the homology class of the fiber. We also show how such families can be non-isotopically and symplectically embedded into a more general class of symplectic 4-manifolds.

12 pages, 3 figures

Cited by in corpus (1)

• Symplectic Tori in Homotopy E(1)'s