Abstract
Given a contact structure on a closed, oriented three-manifold Y, we describe an invariant that takes values in the three-manifold's Floer homology HF. This invariant vanishes for overtwisted contact structures and is nonzero for Stein-fillable ones. The construction uses Giroux's interpretation of contact structures in terms of open-book decompositions.
Original language | English (US) |
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Pages (from-to) | 39-61 |
Number of pages | 23 |
Journal | Duke Mathematical Journal |
Volume | 129 |
Issue number | 1 |
DOIs | |
State | Published - Jul 15 2005 |
All Science Journal Classification (ASJC) codes
- General Mathematics