Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103560
Title: Moduli space of branched superminimal immersions of a compact Riemann surface into S4
Authors: Loo, B. 
Issue Date: Feb-1999
Source: Loo, B. (1999-02). Moduli space of branched superminimal immersions of a compact Riemann surface into S4. Journal of the Australian Mathematical Society 66 (1) : 32-50. ScholarBank@NUS Repository.
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 projectivized 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.
Source Title: Journal of the Australian Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/103560
ISSN: 14467887
Appears in Collections:Staff Publications

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