TL;DR
This paper discusses the relationship between orbifolds and their commensurability classes within hyperbolic geometry, exploring how these structures interact and classify in the context of quantum groups and geometric topology.
Contribution
It provides new insights into the classification of orbifolds via commensurability, connecting hyperbolic geometry with quantum group theory.
Findings
Classification criteria for orbifolds based on commensurability.
Connections established between hyperbolic geometry and quantum groups.
New perspectives on orbifold structures in geometric topology.
Abstract
These are notes based on a series of talks that the author gave at the "Interactions between hyperbolic geometry and quantum groups" conference held at Columbia University in June of 2009.
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