Christensen, Mads Bjerge;
(2025)
Linking numbers of geodesics in arithmetic hyperbolic 3-folds.
Doctoral thesis (Ph.D), UCL (University College London).
Preview |
Text
Thesis-final-MadsC.pdf - Accepted Version Download (1MB) | Preview |
Abstract
In this thesis we study linking number invariants of certain geodesics in arithmetic hyperbolic 3-manifolds. Our principal result shows that such invariants may be encoded in the coefficients of non-holomorphic Siegel modular forms of genus 2. Using a Hecke-bound type argument, we obtain a polynomial bound on the linking numbers. We also study an explicit example in depth and compute several of the linking number coefficients.
| Type: | Thesis (Doctoral) |
|---|---|
| Qualification: | Ph.D |
| Title: | Linking numbers of geodesics in arithmetic hyperbolic 3-folds |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| Additional information: | Copyright © The Author 2025. Original content in this thesis is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) Licence (https://creativecommons.org/licenses/by-nc/4.0/). Any third-party copyright material present remains the property of its respective owner(s) and is licensed under its existing terms. Access may initially be restricted at the author’s request. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10212737 |
Archive Staff Only
 |
View Item |
