Invariants of contact structures from open books

被引：54
|
作者：
Etnyre, John B. [1 ]
Ozbagci, Burak [2 ]
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Koc Univ, Dept Math, Istanbul, Turkey
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 06期
关键词：
D O I：
10.1090/S0002-9947-08-04459-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we de. ne 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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页码：3133 / 3151
页数：19
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