2007 Georgia Topology Conference

 

Burak Ozbagci
Koc University, Turkey

Invariants of contact structures from open books


Abstract: 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  (joint work with John Etnyre)