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Legendrian Contact Homology in Seifert Fibered Spaces
Joan E. Licata, Joshua M. Sabloff
We define a differential graded algebra associated to Legendrian knots in Seifert fibered spaces with transverse contact structures. This construction is distinguished from other c…
math.GT2010
Legendrian grid number one knots and augmentations of their differential algebras
Joan E. Licata
In this article we study the differential graded algebra (DGA) invariant associated to Legendrian knots in tight lens spaces. Given a grid number one diagram for a knot in L(p, q),…