책과 논문들

  ● 논문

• Jones, V.F.R.: Hecke algebra representations of braid groups and link polynomials. Annals of Mathematics 126, 335-388 (1987)
• Turaev, V.G.: The Yang-Baxter equation and invariants of links. Invent. Math. 92, 527-553 (1988)
• Reshetikhin, N.Yu.,Turaev, V.G.: Invariants of 3-manifolds via link polynomials and quantum groups. Invent. Math. 103, 547-597 (1991)
• Kirby, R., Melvin, P.M.: The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2,C). Invent. Math. 105, 473-545 (1991)
• Lickorish, W.B.R.: 3-manifolds and the Temperley-Lieb algebra. Math. Ann. 290, 657-670 (1991)
• Murakami, H.: A Quantum Introduction to Knot Theory. October 14, 2003. (Preprint)
• Jarmo Hietarinta : Solving the two-dimensional constant quantum Yang-Baxter equation. J. Math. Phys. 34 (5), 245-251 (1993)
• Dye, H.A.: Unitary Solutions to the Yang-Baxter Equation in Dimension Four. 11 Aug 2003. (Preprint)

  ● AJ-Conjecture에 대한 논문들

• Thang T.Q. Le: The Colored Jones Polynomial and the A-polynomial of Two-Bridge Knots. 31 Jul 2004. (Preprint)
• Kazuhiro Hikami: Asymptotics of the Colored Jones Polynomial and the A-polynomial. 21 Jul 2004. (Preprint)
• Toshie Takata: The Colored Jones Polynomial and the A-polynomial for Twist Knots. 8 Jan 2004. (Preprint)
• Razvan Gelca: On the Relation Between the A-polynomial and the Jones Polynomial. Proc. Amer. Math. Soc. 130 (4), 1235-1241 (2002)
• Stavros Garoufalidis: Difference and Differential Equations for the Colored Jones Function. 15 Jun 2003. (Preprint)
• Stavros Garoufalidis and Thang T.Q. Le: The Colored Jones Function is q-Holonomic. 12 Sep 2003. (Preprint)

  ● 책

• Murasugi, K.(Trans. by Kurpita, B.): Knot Theory and its Applications. Birkhauser, Boston, 1996.
• Ohtsuki, T.: Quantum Invariants(Series on Knots and Everything-Vol.29). World Scientific, Singapore, 2002.
• Cassel, C.: Quantum Groups(Graduate Texts in Mathematics-Vol.155). Springer-Verlag, New York, 1995.
• Kauffman, L.H., Lins, S.L.: Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds(Annals of Mathematics Studies-No.134). Princeton University Press, New Jersey, 1994.
• Kauffman, L.H.: Knots and Physics Third Edition(Series on Knots and Everything-Vol.1). World Scientific, Singapore, 2001.
• J. Scott Carter, Daniel E. Flath, and Masahico Saito: The Classical and Quantum 6j-symbol(Mathematical Notes 43). Princeton University Press, New Jersey, 1995.
• John Preskill: Quantum Computation and Quantum Information Ch.1~6, Ch.7 (http://www.theory.caltech.edu/~preskill/ph229 에서 가져온 자료)