Homologous non-isotopic symplectic tori in a K3-surface
Geometric Topology
2007-05-23 v2 Symplectic Geometry
Abstract
For each member of an infinite family of homology classes in the K3-surface E(2), we construct infinitely many non-isotopic symplectic tori representing this homology class. This family has an infinite subset of primitive classes. We also explain how these tori can be non-isotopically embedded as homologous symplectic submanifolds in many other symplectic 4-manifolds including the elliptic surfaces E(n) for n>2.
Keywords
Cite
@article{arxiv.math/0305201,
title = {Homologous non-isotopic symplectic tori in a K3-surface},
author = {Tolga Etgü and B. Doug Park},
journal= {arXiv preprint arXiv:math/0305201},
year = {2007}
}
Comments
15 pages, 9 figures; v2: extended the main theorem, gave a second construction of symplectic tori, added a figure, added/updated references, minor changes in figures