Suggested papers for Final Project

For the final project students have to write a report not exceeding four pages on a recent paper on hyperbolic 3-manifolds. The report should be written using Latex and submitted as a pdf file by May 25 . Students should meet with the instructor to choose and discuss the paper. Here are some suggested papers. Students are also welcome to choose recent papers not on this list.

1. arXiv:1102.2420 Mutation and recombination for hyperbolic 3-manifolds by Thilo Kuessner


2. arXiv:1107.2865 Volumes of chain links by James Kaiser, Jessica S. Purcell, Clint Rollins


3. Assigned arXiv:0902.1662 Geometric limits of knot complements by Jessica S. Purcell, Juan Souto


4. arXiv:1108.5748 Cusp geometry of fibered 3-manifolds by David Futer, Saul Schleimer


5. Assigned arXiv:1012.5134 Explicit angle structures for veering triangulations by D. Futer, F. Gueritaud


6. Assigned arXiv:0905.0219 Small dilatation pseudo-Anosovs and 3-manifolds by Benson Farb, Christopher J. Leininger, Dan Margalit


7. Assigned arXiv:1202.6268 The quantum content of the gluing equations Tudor D. Dimofte, Stavros Garoufalidis


8. arXiv:1111.3168 Triangulations of hyperbolic 3-manifolds admitting strict angle structures by Craig D. Hodgson, J. Hyam Rubinstein, Henry Segerman


9. Assigned arXiv:1111.2828 The complex volume of SL(n,C)-representations of 3-manifolds by Stavros Garoufalidis, Dylan P. Thurston, Christian K. Zickert


10. Assigned arXiv:1102.3742 Approximations to the volume of hyperbolic knots by Stefan Friedl, Nicholas Jackson


11. arXiv:1110.3019 Bridge and pants complexities of knots by Alexander Zupan


12. arXiv:1109.6592 A Jorgensen-Thurston theorem for homomorphisms by Yi Liu


13. arXiv:1108.4621 The smallest Haken hyperbolic polyhedra by Christopher K. Atkinson, Shawn Rafalski


15. Assigned arXiv:1108.0510 An alternative approach to hyperbolic structures on link complements by Morwen Thistlethwaite, Anastasiia Tsvietkova


16. arXiv:1104.3437 Two-sided bounds for the volume of right-angled hyperbolic polyhedra by D. Repovs, A. Vesnin


17. arXiv:1003.4413 Triangulated 3-Manifolds: from Haken's normal surfaces to Thurston's algebraic equation by Feng Luo


18. Assigned arXiv:1010.3591 A note on complete hyperbolic structures on ideal triangulated 3-manifolds by Feng Luo



19. Assigned arXiv:0804.0043 The minimal volume orientable hyperbolic 2-cusped 3-manifolds by Ian Agol


20. arXiv:1008.1606 Ideal Triangulations of Pseudo-Anosov Mapping Tori by Ian Agol


21. Assigned arXiv:1107.1030 Pseudo-Developing Maps for Ideal Triangulations I: Essential Edges and Generalised Hyperbolic Gluing Equations by Henry Segerman, Stephan Tillmann


22. Assigned arXiv:1108.0062 Realizing arithmetic invariants of hyperbolic 3-manifolds by Walter D Neumann


23. Assigned arXiv:1201.5911 Hyperbolic 3-manifolds with k-free fundamental group by Rosemary K. Guzman


24. Assigned arXiv:1112.4024 Ergodicity of unipotent flows and geometrically finite Kleinian groups by Amir Mohammadi, Hee Oh