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Filtering by: Advisor Guo, Ren Remove constraint Advisor: Guo, Ren Committee Member Bogley, William A. Remove constraint Committee Member: Bogley, William A.

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  • On the Topologies of Moduli Spaces of Polygons: A Taxonomic Approach

    Creator:
    Krughoff, Stephen A.
    Abstract:
    Consider a polygon lying in the Euclidean plane with labeled edge lengths. The moduli space of polygons is the space of all polygons with the same labeled edge lengths, modulo orientation preserving isometries. It is well known that this space is generically a smooth manifold. For certain combinations of edge...
    Resource Type:
    Dissertation
    Full Text:
    Topologies of Moduli Spaces of Polygons: A Taxonomic Approach Abstract approved: Ren Guo Consider a polygon

  • Enumeration Problems on Symmetries of Riemann Surfaces

    Creator:
    Camacho, Charles A.
    Abstract:
    We describe two combinatorial problems in the theory of automorphism groups of compact Riemann surfaces of genus two or greater: enumerate the topological actions of a finite group on surfaces and determine the set of genera of surfaces admitting such a group action, called the genus spectrum. We illustrate results...
    Resource Type:
    Dissertation
    Full Text:
    : Enumeration Problems on Symmetries of Riemann Surfaces. Abstract approved: Ren Guo We describe two