© | << < ? > >> | Dror Bar-Natan: Talks:
Abstract. It has long been known that there are knot invariants associated to semi-simple Lie algebras, and there has long been a dogma as for how to extract them: "quantize and use representation theory". We present an alternative and better procedure: "centrally extend, approximate by solvable, and learn how to re-order exponentials in a universal enveloping algebra". While equivalent to the old invariants via a complicated process, our invariants are in practice stronger, faster to compute (poly-time vs. exp-time), and clearly carry topological information.
This is joint work with Roland van der Veen and continues work by Rozansky and Overbay.
Handout: Dogma.html, Dogma.pdf, Dogma.png.
Talk Video (in Les Diablerets).
Links: Demo Exp K17 kiw ld17 Ov talks TFD