Invariants of contact structures from open books

Details Invariants of contact structures from open books Invariants of contact structures from open books

2006-05-16

arxiv.org/abs/math/0605441v1

Mathematics

Geometric Topology

18 pages, 11 figures

Scientific paper

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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