Abstract
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).
Cite
CITATION STYLE
Etnyre, J. B., & Ozbagci, B. (2008). Invariants of contact structures from open books. Transactions of the American Mathematical Society, 360(06), 3133–3152. https://doi.org/10.1090/s0002-9947-08-04459-0
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