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dc.contributor.advisorMulder, Kenneth
dc.contributor.authorPike, Timothy Martin
dc.descriptioniii, 14 p.en_US
dc.description.abstractThis document explains the development of the Alexander Polynomial via Seifert Surfaces. To accomplish this, a few topics are considered. As a pseudo Table of Contents, here is a list of what's included. I. Preliminaries and Definitions II. Construction of Seifert Surfaces Ill. Construction of the Seifert Graph IV. Euler Characteristic and Genus of surfaces V. Homeomorphism between the sphere and the projective plane VI. The Fundamental Group of a Seifert Surface VII. The Seirert Matrix and S-Equivalence of Matrices VIII. The invariance of the Alexander Polynomial. IX. Appendix: A few "cheats" on computing the linking numbers for the Seifert Matrixen_US
dc.publisherKalamazoo Collegeen_US
dc.relation.ispartofKalamazoo College Mathematics Senior Individualized Projects Collection
dc.relation.ispartofseriesSenior Individualized Projects. Mathematics.;
dc.rightsU.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder.
dc.titleDevelopment of the Alexander Polynomial of Single Component Knots via Siefert Surfacesen_US
KCollege.Access.ContactIf you are not a current Kalamazoo College student, faculty, or staff member, email to request access to this thesis.

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  • Mathematics Senior Individualized Projects [249]
    This collection includes Senior Individualized Projects (SIP's) completed in the Mathematics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff.

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