Computing the Thurston–Bennequin invariant in open books
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- 作者：S. Durst ; M. Kegel ; M. Klukas
- 关键词：Key words and phrasesThurston–Bennequin invariant ; Legendrian knot ; open book
- 刊名：Acta Mathematica Hungarica
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：150
- 期：2
- 页码：441-455
- 全文大小：794 KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Sciences
Mathematics - 出版者：Akad茅miai Kiad贸, co-published with Springer Science+Business Media B.V., Formerly Kluwer Academic
- ISSN：1588-2632
- 卷排序：150
文摘
We give explicit formulas and algorithms for the computation of the Thurston–Bennequin invariant of a nullhomologous Legendrian knot on a page of a contact open book and on Heegaard surfaces in convex position. Furthermore, we extend the results to rationally nullhomologous knots in arbitrary 3-manifolds.