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Twistors, Holomorphic Disks, and Riemann Surfaces with Boundary

Claude LeBrun
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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.

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Claude LeBrun. 2005-08-01. Twistors, Holomorphic Disks, and Riemann Surfaces with Boundary. https://arxiv.org/abs/math/0508038

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