Suggested papers for Final Report
For the
final report students have to write a report on a
recent paper on knots and 3-manifolds. The report should be between
3-5 pages long, written using Latex and have your name on it. Please
email me a pdf file by no later than Tuesday
May 24 end
of day.
Please let me know once you choose the paper to review, so I can cross
it off the list. Here are suggested papers.
Students are also welcome to choose recent papers which are not on
this list, but are relevant to the class and are not reviewed on
MathSciNet. However, please email me the paper for approval.
- Assigned
arXiv:2204.00319
Parabolic representations and generalized Riley polynomials by
Yunhi Cho, Hyuk Kim, Seonhwa Kim, Seokbeom Yoon
-
arXiv:2103.09500
Satellites and Lorenz knots
by Thiago de Paiva, Jessica S. Purcell
-
arXiv:2004.10909
Alternating links on surfaces and volume bounds
by Efstratia Kalfagianni, Jessica S. Purcell
-
arXiv:2108.12391
Jones diameter and crossing number of knots
by Efstratia Kalfagianni, Christine Ruey Shan Lee
- Assigned
arXiv:1911.01289
On 3-braids and L-space knots
by Christine Ruey Shan Lee, Faramarz Vafaee
-
arXiv:1911.05776
On the Upsilon invariant of fibered knots and right-veering open books
by Dongtai He, Diana Hubbard, Linh Truong
- Assigned
arXiv: 2205.04909
Klein bottles in lens spaces
by Hansjorg Geiges, Norman Thies
-
arXiv: 2205.03474
The Jones polynomial of collections of open curves in 3-space
by Kasturi Barkataki, Eleni Panagiotou
- Assigned
arXiv: 2205.03451
Random meander model for links
by Nicholas Owad, Anastasiia Tsvietkova
-
arXiv: 2204.06530
Systoles of Arithmetic Hyperbolic 2- and 3-Manifolds
by Laurel Heck, Benjamin Linowitz
- Assigned
arXiv: 2204.04111
Pseudo-Anosov subgroups of general fibered 3-manifold groups
by Christopher J. Leininger, Jacob Russell
- Assigned
arXiv: 2202.02007
Arc diagrams on 3-manifold spines
by Jack Brand, Benjamin A. Burton, Zsuzsanna Dancso, Alexander He, Adele Jackson, Joan Licata
-
arXiv: 2202.00238
gl(1|1)-Alexander polynomial for 3-manifolds
by Yuanyuan Bao, Noboru Ito
- Assigned
arXiv: 2107.08851
Cellular chain complexes of universal covers of some 3-manifolds
by Takefumi Nosaka
-
arXiv: 2105.02631
Minimal area surfaces and fibered hyperbolic 3-manifolds
by James Farre, Franco Vargas Pallete
-
arXiv: 2010.15644
Filling links and spines in 3-manifolds
by Michael Freedman, Vyacheslav Krushkal, Christopher J. Leininger, Alan W. Reid
-
arXiv: 2205.00635
Graphing, homotopy groups of spheres, and spaces of links and knots
by Robin Koytcheff
-
arXiv: 2204.09886
On the slice genus of quasipositive knots in indefinite 4-manifolds
by David Baraglia
-
arXiv: 2204.09238
Genera and crossing numbers of 2-bridge knots
by Masaaki Suzuki, Anh T. Tran
-
arXiv: 2203.14450
Hyperbolic L-space knots and their formal semigroups
by Masakazu Teragaito
-
arXiv: 2112.08074
Thin knots and the Cabling Conjecture
by Robert DeYeso III
- Assigned
arXiv: 2111.15323
The signature and cusp geometry of hyperbolic knots
by Alex Davies, András Juhász, Marc Lackenby, Nenad Tomasev
- Assigned
arXiv: 2110.09873
Hyperbolic Knots given by Positive Braids with at Least two Full Twists
by Thiago de Paiva
-
arXiv: 2109.01114
Modular knots, automorphic forms, and the Rademacher symbols for triangle groups
by Toshiki Matsusaka, Jun Ueki
-
arXiv: 2102.01937
The SL(2,C)-character variety of a Montesinos knot
by Haimiao Chen
-
arXiv: 2009.04637
Totally geodesic surfaces in twist knot complements
by Khanh Le, Rebekah Palmer