Date of Degree


Document Type


Degree Name





Abhijit Champanerkar

Committee Members

Walter Neumann

Ilya Kofman

Martin Bendersky

Subject Categories

Geometry and Topology


Hyerbolic 3-manifolds, Knot theory, Geometric Topology, Link diagrams, Fully Augmented Links


We study the geometry of fully augmented link complements in the 3-sphere by looking at their link diagrams. We extend the method introduced by Thistlethwaite and Tsvietkova to fully augmented links and define a system of algebraic equations in terms of parameters coming from edges and crossings of the link diagrams. Combining it with the work of Purcell, we show that the solutions to these algebraic equations are related to the cusp shapes of fully augmented link complements. As an application we use the cusp shapes to study the commensurability classes of fully augmented links.


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