The University of Michigan Combinatorics Seminar
Fall 2002
Joint with Algebraic Geometry Seminar
Wednesday, October 30, 4:10-6:00 PM, 3088 East Hall

Counting holomorphic curves via lattice paths in polygons

Grigory Mikhalkin

University of Utah


The talk presents a new formula for the Gromov-Witten invariants of arbitrary genus in the projective plane, the product of two lines as well as some related enumerative invariants in other toric surfaces. It turns out that such invariants can be computed as a number (counted with multiplicities) of certain lattice paths connecting two vertices of the relevant Newton polygon.