Twistors, Holomorphic Disks, and Riemann Surfaces with Boundary
arXiv:math/0508038
Abstract
Moduli spaces of holomorphic disks in a complex manifold Z, with boundaries constrained to lie in a maximal totally real submanifold P, have recently been found to underlie a number of geometrically rich twistor correspondences. The purpose of this paper is to develop a general Fredholm regularity criterion for holomorphic curves-with-boundary, and then show how this applies, in particular, to various moduli problems of twistor-theoretic interest.
19 pages, LaTeX2e. To appear in the Proceedings of the CRM short program in Differential Geometry, Montreal, 2004