Farey Recursive Functions for Hyperbolic Dehn Filling

Authors

José Martinez, University of Montana, Missoula, PhD Candidate

Document Type

Presentation Abstract

Presentation Date

4-29-2024

Abstract

Hyperbolic geometry is frequently encountered in low-dimensional topology, and it is known that many 3-manifolds admit a hyperbolic structure. William Thurston's hyperbolic Dehn filling theorem predicts how the geometric structure of a hyperbolic 3-manifold changes when a topological operation called Dehn filling is performed on the manifold. In this talk, we will give an overview of some of the basic ideas in hyperbolic geometry, the theory of 3-manifolds, and Dehn filling, and show how these ideas can be understood using special triangulations and Farey recursive functions.

Additional Details

Link to the presenter's dissertation.

April 29, 2024 at 3:00 p.m. Math 103

Recommended Citation

Martinez, José, "Farey Recursive Functions for Hyperbolic Dehn Filling" (2024). Colloquia of the Department of Mathematical Sciences. 671.
https://scholarworks.umt.edu/mathcolloquia/671