English

An involution acting nontrivially on Heegard-Floer homology

Geometric Topology 2007-05-23 v1 Symplectic Geometry

Abstract

We show that a certain involution on the well known homology sphere (the boundary of the Mazur manifold) induces a nontrivial homomorphism on its Heegard-Floer homology groups (recently defined by Ozsvath and Szabo). We discuss a possible application of this to constructing exotic smooth structures on 4-manifolds.

Keywords

Cite

@article{arxiv.math/0403102,
  title  = {An involution acting nontrivially on Heegard-Floer homology},
  author = {Selman Akbulut and Selahi Durusoy},
  journal= {arXiv preprint arXiv:math/0403102},
  year   = {2007}
}

Comments

10 pages, 8 figures