Algebraic Geometry Associated with Matrix Models of Two Dimensional Gravity

Abstract: The purpose of these notes is to describe some conjectures in algebraic geometry associated with matrix models of two dimensional quantum gravity. The original conjecture of this type gave a detailed description of intersection theory of the moduli of Riemann surfaces, by relating it to the most basic matrix model, which was solved nonperturbatively by several groups. (Many aspects of the solution were later clarified by Neuberger.) (link to pdf)