English

Homotopy K3's with several symplectic structures

Geometric Topology 2014-11-11 v2 Algebraic Topology Symplectic Geometry

Abstract

In this note we prove that, for any integer n, there exist a smooth 4-manifold, homotopic to a K3 surface, defined by applying the link surgery method of Fintushel-Stern to a certain 2-component graph link, which admits n inequivalent symplectic structures Keywords: Symplectic topology of 4-manifolds; Seiberg-Witten theory

Keywords

Cite

@article{arxiv.math/0103158,
  title  = {Homotopy K3's with several symplectic structures},
  author = {Stefano Vidussi},
  journal= {arXiv preprint arXiv:math/0103158},
  year   = {2014}
}

Comments

Version 2: a few minor corrections from version 1. Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper8.abs.html