{"abstract":[{"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.","lang":"eng"}],"date_created":"2018-12-11T11:51:11Z","publisher":"Springer","author":[{"last_name":"Durst","full_name":"Durst, Sebastian","first_name":"Sebastian"},{"first_name":"Marc","last_name":"Kegel","full_name":"Kegel, Marc"},{"id":"34927512-F248-11E8-B48F-1D18A9856A87","first_name":"Mirko D","last_name":"Klukas","full_name":"Klukas, Mirko D"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1605.00794"}],"corr_author":"1","external_id":{"isi":["000387471100014"],"arxiv":["1605.00794"]},"type":"journal_article","oa_version":"Preprint","language":[{"iso":"eng"}],"article_processing_charge":"No","scopus_import":"1","title":"Computing the Thurston–Bennequin invariant in open books","date_updated":"2025-09-22T08:29:12Z","oa":1,"month":"12","quality_controlled":"1","doi":"10.1007/s10474-016-0648-4","publication":"Acta Mathematica Hungarica","volume":150,"day":"01","publication_status":"published","isi":1,"intvolume":"       150","citation":{"ista":"Durst S, Kegel M, Klukas MD. 2016. Computing the Thurston–Bennequin invariant in open books. Acta Mathematica Hungarica. 150(2), 441–455.","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>","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>.","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.","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>.","short":"S. Durst, M. Kegel, M.D. Klukas, Acta Mathematica Hungarica 150 (2016) 441–455."},"issue":"2","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.","page":"441 - 455","year":"2016","publist_id":"6023","status":"public","date_published":"2016-12-01T00:00:00Z","arxiv":1,"department":[{"_id":"HeEd"}],"_id":"1292"}