John B. Etnyre, Burak Ozbagci
Published 2006-05-16Version 1
In this note we define three invariants of contact structures in terms of open books supporting the contact structures. These invariants are the support genus (which is the minimal genus of a page of a supporting open book for the contact structure), the binding number (which is the minimal number of binding components of a supporting open book for the contact structure with minimal genus pages) and the norm (which is minus the maximal Euler characteristic of a page of a supporting open book).
Comments: 18 pages, 11 figures
A note on the support norm of a contact structure
Open books and plumbings
Some remarks on cabling, contact structures, and complex curves
![QR code for arXiv:math/0605441 [math.GT]](http://oss.arxitics.com/images/favicon.svg)