Moduli Spaces of Embedded Constant Mean Curvature Surfaces with Few Ends and Special Symmetry

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We give necessary conditions on complete embedded \cmc surfaces with three or four ends subject to reflection symmetries. The respective submoduli spaces are two-dimensional varieties in the moduli spaces of general \cmc surfaces. We characterize fundamental domains of our \cmc surfaces by associated great circle polygons in the three-sphere.
latex2e, AMS-latex, 24 pages

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