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Legendrian framings for two-bridge links
Author(s):
Sebastian
Baader;
Masaharu
Ishikawa
Journal:
Proc. Amer. Math. Soc.
139
(2011),
4513-4520.
MSC (2010):
Primary 57M27
Posted:
April 4, 2011
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Abstract:
We define the Thurston-Bennequin polytope of a two-component link as the convex hull of all pairs of integers that arise as framings of a Legendrian representative. The main result of this paper is a description of the Thurston-Bennequin polytope for two-bridge links. As an application, we construct non-quasipositive surfaces in  all of whose sub-annuli are quasipositive.
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Additional Information:
Sebastian
Baader
Affiliation:
Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
Email:
sebastian.baader@math.unibe.ch
Masaharu
Ishikawa
Affiliation:
Mathematical Institute, Tohoku University, Sendai, 980-8578, Japan
Email:
ishikawa@math.tohoku.ac.jp
DOI:
10.1090/S0002-9939-2011-10888-8
PII:
S 0002-9939(2011)10888-8
Received by editor(s):
October 26, 2009
Received by editor(s) in revised form:
May 7, 2010 and October 11, 2010
Posted:
April 4, 2011
Communicated by:
Daniel Ruberman
Copyright of article:
Copyright
2011,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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