A homotopy reciprocity law for ribbon disc complements

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Date dc:date

10000-01-01

Author dc:creator

• Cavagnaro, Catherine Elizabeth

Contributors dc:contributor

• Craggs, Robert F.

• Mathematics

Statement dc:rights

• Copyright 1995 Cavagnaro, Catherine Elizabeth

Language dc:language

eng

Identifier

AAI9624302
(UMI)AAI9624302

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22924