TY - JOUR
T1 - Legendrian framings for two-bridge links
AU - Baader, Sebastian
AU - Ishikawa, Masaharu
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/12
Y1 - 2011/12
N2 - 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 R3 all of whose sub-annuli are quasipositive.
AB - 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 R3 all of whose sub-annuli are quasipositive.
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U2 - 10.1090/S0002-9939-2011-10888-8
DO - 10.1090/S0002-9939-2011-10888-8
M3 - Article
AN - SCOPUS:80052010233
SN - 0002-9939
VL - 139
SP - 4513
EP - 4520
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 12
ER -