We discuss two different ways to construct new invariants of Legendrian knots in the standard contact R-3. These invariants are defined combinatorially, in terms of certain planar projections, and (sometimes) allow us to distinguish Legendrian knots which are not Legendrian isotopic but have the same classical invariants.
机构:
Waseda Univ, Grad Sch Fundamental Sci & Engn, Dept Math, 3-4-1 Okubo,Shinjuku, Tokyo 1698555, JapanWaseda Univ, Grad Sch Fundamental Sci & Engn, Dept Math, 3-4-1 Okubo,Shinjuku, Tokyo 1698555, Japan