TY - JOUR
T1 - Invariants for Legendrian knots in lens spaces
AU - Licata, Joan E.
PY - 2011/2
Y1 - 2011/2
N2 - In this paper, we define invariants for primitive Legendrian knots in lens spaces L(p,q), q ≠= 1. The main invariant is a differential graded algebra (A, η) which is computed from a labeled Lagrangian projection of the pair (L(p, q),K). This invariant is formally similar to a DGA defined by Sabloff which is an invariant for Legendrian knots in smooth S1-bundles over Riemann surfaces. The second invariant defined for K C L(p, q) takes the form of a DGA enhanced with a free cyclic group action and can be computed from a cyclic cover of the pair (L(p, q),K).
AB - In this paper, we define invariants for primitive Legendrian knots in lens spaces L(p,q), q ≠= 1. The main invariant is a differential graded algebra (A, η) which is computed from a labeled Lagrangian projection of the pair (L(p, q),K). This invariant is formally similar to a DGA defined by Sabloff which is an invariant for Legendrian knots in smooth S1-bundles over Riemann surfaces. The second invariant defined for K C L(p, q) takes the form of a DGA enhanced with a free cyclic group action and can be computed from a cyclic cover of the pair (L(p, q),K).
KW - Legendrian knot
KW - differential graded algebra
KW - lens space
UR - http://www.scopus.com/inward/record.url?scp=79951907635&partnerID=8YFLogxK
U2 - 10.1142/S0219199711004178
DO - 10.1142/S0219199711004178
M3 - Article
SN - 0219-1997
VL - 13
SP - 91
EP - 121
JO - Communications in Contemporary Mathematics
JF - Communications in Contemporary Mathematics
IS - 1
ER -