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Moduli space of branched superminimal immersions of a compact Riemann surface into S4
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we describe the moduli spaces of degree d branched superminimal immersions of a compact Riemann surface of genus g into S4. We prove that when d ≥ max {2g, g + 2}, such spaces have the structure of projectivzed fibre products and are path-connected quasi projective varieties of dimension 2d − g + 4. This generalizes known results for spaces of harmonic 2-spheres in S4.
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- Copyright © Australian Mathematical Society 1999
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