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 Title: A homotopy reciprocity law for ribbon disc complements Author(s): Cavagnaro, Catherine Elizabeth Doctoral Committee Chair(s): Craggs, Robert F. Department / Program: Mathematics Discipline: Mathematics Degree Granting Institution: University of Illinois at Urbana-Champaign Degree: Ph.D. Genre: Dissertation Subject(s): Mathematics Abstract: In this paper, we present two new spines for ribbon disc complements. We describe Craggs's 3-dimensional spine and introduce a 2-dimensional spine ${\cal W}\sp2$ which we show satisfies the homotopy reciprocity law. We demonstrate that the reciprocity property remains invariant under insertions and conjecture that the property is invariant under deletions. If this is the case, then the ribbon disc complement spines described here satisfy the reciprocity law and, hence, are Kervaire. Issue Date: 1995 Type: Text Language: English URI: http://hdl.handle.net/2142/22924 Rights Information: Copyright 1995 Cavagnaro, Catherine Elizabeth Date Available in IDEALS: 2011-05-07 Identifier in Online Catalog: AAI9624302 OCLC Identifier: (UMI)AAI9624302
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