16 citations · 18 across the 2 of their papers we have counts for
3 papers
math.SG2004★ 16 cited
Augmentations and Rulings of Legendrian Knots
Joshua M. Sabloff
A connection between holomorphic and generating family invariants of Legendrian knots is established; namely, that the existence of a ruling (or decomposition) of a Legendrian knot…
math.SG2002★ 2 cited
Invariants of Legendrian knots in circle bundles
Joshua M. Sabloff
Let E be a circle bundle over a Riemann surface that supports a contact structure transverse to the fibers. This paper presents a combinatorial definition of a differential graded…
math.SG2001
Invariants of Legendrian Knots and Coherent Orientations
John B. Etnyre, Lenhard L. Ng, Joshua M. Sabloff
We provide a translation between Chekanov's combinatorial theory for invariants of Legendrian knots in the standard contact R^3 and a relative version of Eliashberg and Hofer's Con…