Twistors, Holomorphic Disks, and Riemann Surfaces with Boundary
Abstract
Description
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
19 pages, LaTeX2e. To appear in the Proceedings of the CRM short program in Differential Geometry, Montreal, 2004