Knots and 3-manifolds

Math 87100, Spring 2022

Thursdays, 11:45 - 1:45 pm, Room 6417

Mathematics Program, The Graduate Center, CUNY


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.

  1. Assigned arXiv:2204.00319 Parabolic representations and generalized Riley polynomials by Yunhi Cho, Hyuk Kim, Seonhwa Kim, Seokbeom Yoon

  2. arXiv:2103.09500 Satellites and Lorenz knots by Thiago de Paiva, Jessica S. Purcell

  3. arXiv:2004.10909 Alternating links on surfaces and volume bounds by Efstratia Kalfagianni, Jessica S. Purcell

  4. arXiv:2108.12391 Jones diameter and crossing number of knots by Efstratia Kalfagianni, Christine Ruey Shan Lee

  5. Assigned arXiv:1911.01289 On 3-braids and L-space knots by Christine Ruey Shan Lee, Faramarz Vafaee

  6. arXiv:1911.05776 On the Upsilon invariant of fibered knots and right-veering open books by Dongtai He, Diana Hubbard, Linh Truong

  7. Assigned arXiv: 2205.04909 Klein bottles in lens spaces by Hansjorg Geiges, Norman Thies

  8. arXiv: 2205.03474 The Jones polynomial of collections of open curves in 3-space by Kasturi Barkataki, Eleni Panagiotou

  9. Assigned arXiv: 2205.03451 Random meander model for links by Nicholas Owad, Anastasiia Tsvietkova

  10. arXiv: 2204.06530 Systoles of Arithmetic Hyperbolic 2- and 3-Manifolds by Laurel Heck, Benjamin Linowitz

  11. Assigned arXiv: 2204.04111 Pseudo-Anosov subgroups of general fibered 3-manifold groups by Christopher J. Leininger, Jacob Russell

  12. Assigned arXiv: 2202.02007 Arc diagrams on 3-manifold spines by Jack Brand, Benjamin A. Burton, Zsuzsanna Dancso, Alexander He, Adele Jackson, Joan Licata

  13. arXiv: 2202.00238 gl(1|1)-Alexander polynomial for 3-manifolds by Yuanyuan Bao, Noboru Ito

  14. Assigned arXiv: 2107.08851 Cellular chain complexes of universal covers of some 3-manifolds by Takefumi Nosaka

  15. arXiv: 2105.02631 Minimal area surfaces and fibered hyperbolic 3-manifolds by James Farre, Franco Vargas Pallete

  16. arXiv: 2010.15644 Filling links and spines in 3-manifolds by Michael Freedman, Vyacheslav Krushkal, Christopher J. Leininger, Alan W. Reid

  17. arXiv: 2205.00635 Graphing, homotopy groups of spheres, and spaces of links and knots by Robin Koytcheff

  18. arXiv: 2204.09886 On the slice genus of quasipositive knots in indefinite 4-manifolds by David Baraglia

  19. arXiv: 2204.09238 Genera and crossing numbers of 2-bridge knots by Masaaki Suzuki, Anh T. Tran

  20. arXiv: 2203.14450 Hyperbolic L-space knots and their formal semigroups by Masakazu Teragaito

  21. arXiv: 2112.08074 Thin knots and the Cabling Conjecture by Robert DeYeso III

  22. Assigned arXiv: 2111.15323 The signature and cusp geometry of hyperbolic knots by Alex Davies, András Juhász, Marc Lackenby, Nenad Tomasev

  23. Assigned arXiv: 2110.09873 Hyperbolic Knots given by Positive Braids with at Least two Full Twists by Thiago de Paiva

  24. arXiv: 2109.01114 Modular knots, automorphic forms, and the Rademacher symbols for triangle groups by Toshiki Matsusaka, Jun Ueki

  25. arXiv: 2102.01937 The SL(2,C)-character variety of a Montesinos knot by Haimiao Chen

  26. arXiv: 2009.04637 Totally geodesic surfaces in twist knot complements by Khanh Le, Rebekah Palmer




Background image: London Tsai
John Baez on Hopf fibration