Jim Hoste
Mathematical Papers

Publications

  1. Sewn-up r-link exteriors, Ph.D thesis, University of Utah, Pacific J. of Math. 112 no. 2 (1984), 347-382.

  2. The Arf invariant of a totally proper link, Topology Appl. 18 (1984), 163-177.

  3. The first coefficient of the Conway polynomial, Proc. Amer. Math. Soc. 95 no. 2 (1985), 299-302.

  4. A new polynomial invariant of knots and links, with D. Freyd, W.B.R. Lickorish, K. Millett, A. Ocneanu, and P. Yetter, Bull. Amer. Math. Soc. 12 no. 2 (1985), 239-246.

  5. A polynomial invariant of knots and links, Pacific J. Math 124 no. 2 (1986), 295-320.

  6. A formula for Casson's invariant, Trans. Amer. Math. Soc. 297 no. 2 (1986), 547-562.

  7. An invariant of dichromatic links, with Jozef Przytycki, Proc. Amer. Math. Soc. 105 no. 4 (1989), 1003-1007.

  8. Dichromatic link invariants, with Mark Kidwell, Trans. Amer. Math. Soc. 321 no. 1 (1990), 197-229.

  9. Homotopy skein modules of orientable 3-manifolds, with Jozef Przytycki, Proc. Camb. Phil. Soc. 108 (1990), 475-488.

  10. Unknotting operations involving trivial tangles, with Y. Nakanishi and K. Taniyama, Osaka J. Math. 22 (1990), 555-566.

  11. Minimal atlases on 3-manifolds, with F. Gonzalez-Acu\~na and J.C. Gomez-Larra\~naga, Proc. Camb. Phil. Soc. 109 (1991), 105-115.

  12. A tabulation of oriented links, with Helmut Doll, Math. Comp. 57 no. 196 (1991), 747-761.

  13. A survey of skein modules of 3-manifolds, with Jozef Przytycki, Knots 90 (A. Kawauchi, eds.), Proceedings of the International Conference on Knots, Osaka, Japan, 1990, Walter de Gruyter \& Co., 1992.

  14. The $(2,\infty)$-skein module of lens spaces; a generalization of the Jones polynomial, with Jozef Przytycki, J. Knot Theory Ramifications, 2, no. 3 (1993), 321-333.

  15. Tabulating alternating knots through 14 crossings, with B. Arnold, M. Au, C. Candy, K. Erdener, J. Fan, R. Flynn, R. Muir, and D. Wu, J. Knot Theory Ramifications, 3, no. 4 (1994), 433-437.

  16. The $(2,\infty)$-skein module of Whitehead manifolds, with Jozef Przytycki, J. Knot Theory Ramifications, 4, no. 3 (1995),411-427.

  17. The Kauffman bracket skein module of $S^1 \times S^2$, with Jozef Przytycki, Math. Z., 220 (1995), 65-73.

  18. Framed link diagrams of open 3-manifolds, in Knots '96, Proceedings of the Fifth International Research Institute of Mathematical Society of Japan, Waseda Univ., Tokyo, 1996, S. Suzuki ed., World Scientific, (1997), 515-537.

  19. Open 3-manifolds with infinitely many knot-surgery descriptions, in Knots '96, Proceedings of the Fifth International Research Institute of Mathematical Society of Japan, Waseda Univ., Tokyo, 1996, S. Suzuki ed., World Scientific, (1997), 539-543.

  20. Tangle surgeries which preserve Jones-type polynomials, with Jozef Przytycki, Int. J. Math., 8, no. 8 (1997), 1015-1027.

  21. The first 1,701,936 knots, with Morwen Thistlethwaite and Jeff Weeks, Math. Intelligencer, 20, no. 4 (1998) 33-48. [pdf]

  22. Trace fields of twist knots, with Patrick Shanahan, J. Knot Theory and Ramifications, 10, no. 4 (2001) 625-639.

  23. A formula for the A-polynomial of twist knots, with Patrick Shanahan, J. Knot Theory and Ramifications, 13, no. 2 (2004) 193-209.

  24. Commensurability classes of twist knots, with Patrick Shanahan, J. Knot Theory and Ramifications, 14, no. 1 (2005) 1-10. math.GT/0311051

  25. The enumeration and classification of knots and links, Handbook of Knot Theory, W. Menasco and M. Thistlethwaite, eds., Elsevier (2005) 209-232. [pdf]

  26. Remarks on Some Hyperbolic Invariants of 2-Bridge Knots, with P. Shanahan, Physical and Numerical Models in Knot Theory, Series on Knots and Everything, 36, Calvo, Millett, Rawdon, and Stasiak, eds., World Scientific Press (2005) 581-596.

  27. Computing boundary slopes of 2-bridge links, with P. Shanahan, Math. Comp. ,76, (2007), 1521-1545. math.GT/0505442

  28. Boundary slopes of 2-bridge links determine the crossing number, with P. Shanahan, Kobe J. Math., 24, (2007), 21-39. math.GT/0603206

  29. Lissajous knots and knots with Lissajous projections, with L. Zirbel, Kobe J. Math. , 24 (2007) 87-106. math.GT/0605632.

  30. Sampling Lissajous and Fourier knots, with A. Boocher, G. Daigle, and W. Zhang, J. Experimental Math., 18, no. 4, (2009), 481-497, arXiv:0707.4210.

  31. Torus knots are Fourier-(1,1,2) knots, J. Knot Theory and Ramifications, 18, no. 2 (2009), 265-270, arXiv:0708.3590

  32. Epimorphisms and Boundary Slopes of 2-Bridge Knots, with P. Shanahan, Algebraic and Geometric Topology, 10, (2010), 1221-1244, arXiv:0708.3590.

  33. Upper bounds in the Ohtsuki-Riley-Sakuma partial order on 2-bridge knots, with Scott M. Garrabrant and Patrick D. Shanahan, J. Knot Theory and Ramifications, 21, no. 9 (2012), arXiv:1007.3278 .

  34. Twisted Alexander polynomials of 2-bridge knots, with Patrick D. Shanahan, J. Knot Theory and Ramifications, 22, no. 1 (2013) arXiv:1206.1894 .

  35. Involutory quandles of (2,2,r)-Montesinos links, with Patrick D. Shanahan, J. Knot Theory and Ramifications, 26, no. 3 (2017), arXiv:1602.01852.

  36. Links with finite n-quandles, with Patrick D. Shanahan, Algebraic and Geometric Topology, 17, 2807-2823, (2017),arXiv:1606.08324.

  37. Triple-crossing number and moves on triple-crossing link diagrams, with Colin Adams and Martin Palmer, J. Knot Theory and Ramifications, Proceedings of Knots in Helas 2016, 28, no. 11, 1940001 (2019), arXiv:1706.09333.

  38. An enumeration process for racks, with Patrick D. Shanahan, Math. Comp., 88, no. 317, 1427-1448, (2019), arXiv:1707.01519.

  39. Finite n-quandles of torus and two-bridge links, with Alissa Crans, Blake Mellor, and Patrick D. Shanahan, J. Knot Theory and Ramifications, 28, no. 03 (2019), arXiv:1806.05727.

  40. Remarks on Suzuki's Knot Epimorphism Number, with Joshua Ocana Mercado and Patrick D. Shanahan, J. Knot Theory and Ramifications, 28, no. 09, 1950060 (2019), arXiv:1810.05146.

  41. A note on Alexander polynomials of 2-bridge links, J. Knot Theory and Ramifications, 29, no. 08 (2020), arXiv:1907.03812.

  42. Knot Diagrams, Knot Tabulation, The HOMFLY-PT Polynomial, entries in the Encyclopedia of Knot Theory, Colin Adams, Erica Flapan, Allison Henrich, Louis Kauffman, Lew Ludwig, and Sam Nelson, eds., CRC Press, (2020).

  43. Crosscap number and the partial order on two-bridge knots, with Patrick D. Shanahan and Cornelia A. Van Cott, arXiv:2010.05009,

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