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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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