---
_id: '1292'
abstract:
- lang: eng
  text: 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.
acknowledgement: "The authors are veryg rateful to Hansj ̈org Geiges \r\nfor fruitful
  discussions and advice and Christian Evers for helpful remarks on a draft version."
author:
- first_name: Sebastian
  full_name: Durst, Sebastian
  last_name: Durst
- first_name: Marc
  full_name: Kegel, Marc
  last_name: Kegel
- first_name: Mirko D
  full_name: Klukas, Mirko D
  id: 34927512-F248-11E8-B48F-1D18A9856A87
  last_name: Klukas
citation:
  ama: Durst S, Kegel M, Klukas MD. Computing the Thurston–Bennequin invariant in
    open books. <i>Acta Mathematica Hungarica</i>. 2016;150(2):441-455. doi:<a href="https://doi.org/10.1007/s10474-016-0648-4">10.1007/s10474-016-0648-4</a>
  apa: Durst, S., Kegel, M., &#38; Klukas, M. D. (2016). Computing the Thurston–Bennequin
    invariant in open books. <i>Acta Mathematica Hungarica</i>. Springer. <a href="https://doi.org/10.1007/s10474-016-0648-4">https://doi.org/10.1007/s10474-016-0648-4</a>
  chicago: Durst, Sebastian, Marc Kegel, and Mirko D Klukas. “Computing the Thurston–Bennequin
    Invariant in Open Books.” <i>Acta Mathematica Hungarica</i>. Springer, 2016. <a
    href="https://doi.org/10.1007/s10474-016-0648-4">https://doi.org/10.1007/s10474-016-0648-4</a>.
  ieee: S. Durst, M. Kegel, and M. D. Klukas, “Computing the Thurston–Bennequin invariant
    in open books,” <i>Acta Mathematica Hungarica</i>, vol. 150, no. 2. Springer,
    pp. 441–455, 2016.
  ista: Durst S, Kegel M, Klukas MD. 2016. Computing the Thurston–Bennequin invariant
    in open books. Acta Mathematica Hungarica. 150(2), 441–455.
  mla: Durst, Sebastian, et al. “Computing the Thurston–Bennequin Invariant in Open
    Books.” <i>Acta Mathematica Hungarica</i>, vol. 150, no. 2, Springer, 2016, pp.
    441–55, doi:<a href="https://doi.org/10.1007/s10474-016-0648-4">10.1007/s10474-016-0648-4</a>.
  short: S. Durst, M. Kegel, M.D. Klukas, Acta Mathematica Hungarica 150 (2016) 441–455.
date_created: 2018-12-11T11:51:11Z
date_published: 2016-12-01T00:00:00Z
date_updated: 2021-01-12T06:49:40Z
day: '01'
department:
- _id: HeEd
doi: 10.1007/s10474-016-0648-4
intvolume: '       150'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1605.00794
month: '12'
oa: 1
oa_version: Preprint
page: 441 - 455
publication: Acta Mathematica Hungarica
publication_status: published
publisher: Springer
publist_id: '6023'
quality_controlled: '1'
scopus_import: 1
status: public
title: Computing the Thurston–Bennequin invariant in open books
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 150
year: '2016'
...