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Invariants of contact structures from open books

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arxiv math/0605441 v1 pith:KG2LSKL5 submitted 2006-05-16 math.GT math.SG

John B. Etnyre , Burak Ozbagci This is my paper · ORCID
classification math.GTmath.SG
keywords contactopensupportingbookgenusinvariantsminimalstructures
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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).

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