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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
A Volume Bound For Montesinos Links, Kathleen Arvella Finlinson
A Volume Bound For Montesinos Links, Kathleen Arvella Finlinson
Theses and Dissertations
The hyperbolic volume of a knot complement is a topological knot invariant. Futer, Kalfagianni, and Purcell have estimated the volumes of Montesinos link complements for Montesinos links with at least three positive tangles. Here we extend their results to all hyperbolic Montesinos links.
Alternating Links And Subdivision Rules, Brian Craig Rushton
Alternating Links And Subdivision Rules, Brian Craig Rushton
Theses and Dissertations
The study of geometric group theory has suggested several theorems related to subdivision tilings that have a natural hyperbolic structure. However, few examples exist. We construct subdivision tilings for the complement of every nonsingular, prime alternating link and all torus links, and explore some of their properties and applications. Several examples are exhibited with color coding of tiles.