Legendrian Contact Homology (LCH) was among the first, and is still among the most important, non-classical invariants of Legendrian knots. In this talk, I will tell a story that builds up ever more sophisticated analogues of Poincare Duality in LCH. Despite the algebraic nature of the talk, I promise pictures and examples.
This is joint work with Jason Ma (Duke) and, towards the end, work in progress in conversation with Zhenyi Chen (Northwestern).
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
