On Self-dual Gravity Structures on Ground Ring Manifolds in Two-Dimensional String Theory

Abstract

We generalize the geometric structures generated by Witten's ground ring. It is shown that these generalized structures involve in a natural way some geometric constructions from Self-dual gravity [1,12]. The formal twistor construction on full quantum ground ring manifold is also given.

17+1 pages, TeX, no figures, corrected ps version