The classical degree-genus formula computes the genus
of a nonsingular algebraic curve in the complex projective plane.
The well-known Thom conjecture posits that this is a lower bound
on the genus of smoothly embedded, oriented and connected surface
in CP^2.
The conjecture was first proved twenty-five years ago by
Kronheimer and Mrowka, using Seiberg-Witten invariants. In this
talk, we will describe a new proof of the conjecture that combines
contact geometry with the novel theory of bridge trisections of
- You are here:
- Home