English

Open manifolds, Ozsvath-Szabo invariants and Exotic R^4's

Geometric Topology 2009-07-17 v2

Abstract

We construct an invariant of open four-manifolds using the Heegaard Floer theory of Ozsvath and Szabo. We show that there is a manifold X homeomorphic to R^4 for which the invariant is non-trivial, showing that X is an exotic R^4.

Keywords

Cite

@article{arxiv.math/0408379,
  title  = {Open manifolds, Ozsvath-Szabo invariants and Exotic R^4's},
  author = {Siddhartha Gadgil},
  journal= {arXiv preprint arXiv:math/0408379},
  year   = {2009}
}

Comments

9 pages, major revisions; to appear in Expositiones Mathematicae