Hyperbolic Knot Complements as Imaginary Thickness: Boundary Map Dynamics and PSL(2,R) Actions

Abstract

This paper presents a cohomological model in which imaginary thickness arises from boundary map dynamics and aligns with hyperbolic actions of PSL(2,R). Knot complements provide the geometric setting that realizes these generative depth transformations. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.