We establish an upper bound for the Thurston–Bennequin number of a Legendrian link using the Khovanov homology of the underlying topological link. This bound is sharp in particular for all alternating links, and knots with nine or fewer crossings.
Ng, Lenhard  1
@article{10_2140_agt_2005_5_1637,
author = {Ng, Lenhard},
title = {A {Legendrian} {Thurston{\textendash}Bennequin} bound from {Khovanov} homology},
journal = {Algebraic and Geometric Topology},
pages = {1637--1653},
year = {2005},
volume = {5},
number = {4},
doi = {10.2140/agt.2005.5.1637},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2005.5.1637/}
}
TY - JOUR AU - Ng, Lenhard TI - A Legendrian Thurston–Bennequin bound from Khovanov homology JO - Algebraic and Geometric Topology PY - 2005 SP - 1637 EP - 1653 VL - 5 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2005.5.1637/ DO - 10.2140/agt.2005.5.1637 ID - 10_2140_agt_2005_5_1637 ER -
Ng, Lenhard. A Legendrian Thurston–Bennequin bound from Khovanov homology. Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1637-1653. doi: 10.2140/agt.2005.5.1637
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