19 research outputs found
Duality for Contact Homology of Legendrian knots
In this paper, I prove a beautiful symmetry property for the contact homology invariant of Legendrian knots, which are mathematical knots that satisfy an additional geometric property. In addition to its intrinsic beauty, the symmetry simplifies calculations; further, the framework developed in its proof opens up further research into the structure of the invariant. --author-supplied descriptio
Duality for Contact Homology of Legendrian knots
In this paper, I prove a beautiful symmetry property for the contact homology invariant of Legendrian knots, which are mathematical knots that satisfy an additional geometric property. In addition to its intrinsic beauty, the symmetry simplifies calculations; further, the framework developed in its proof opens up further research into the structure of the invariant. --author-supplied descriptio