메뉴 건너뛰기




Volumn 15, Issue 9, 2004, Pages 959-965

Difference equation of the colored Jones polynomial for torus knot

Author keywords

A polynomial; Alexander polynomial; Jones polynomial; q hypergeometric function; Torus knot

Indexed keywords


EID: 11244292505     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X04002582     Document Type: Article
Times cited : (58)

References (23)
  • 2
    • 0030553083 scopus 로고    scopus 로고
    • On the Melvin-Morton-Rozansky conjecture
    • D. Bar-Natan and S. Garoufalidis, On the Melvin-Morton-Rozansky conjecture, Invent. Math. 125 (1996) 103-133.
    • (1996) Invent. Math. , vol.125 , pp. 103-133
    • Bar-Natan, D.1    Garoufalidis, S.2
  • 3
    • 0002576110 scopus 로고
    • Plane curves associated to character varieties of 3-manifolds
    • D. Cooper, M. Culler, H. Gillet, D. D. Long and P. B. Shalen, Plane curves associated to character varieties of 3-manifolds, Invent. Math. 118 (1994) 47-84.
    • (1994) Invent. Math. , vol.118 , pp. 47-84
    • Cooper, D.1    Culler, M.2    Gillet, H.3    Long, D.D.4    Shalen, P.B.5
  • 4
    • 0035981919 scopus 로고    scopus 로고
    • The A-polynomial from the noncommutative viewpoint
    • C. Frohman, R. Gelca and W. Lofaro, The A-polynomial from the noncommutative viewpoint, Trans. Amer. Math. Soc. 354 (2001) 735-747.
    • (2001) Trans. Amer. Math. Soc. , vol.354 , pp. 735-747
    • Frohman, C.1    Gelca, R.2    Lofaro, W.3
  • 7
    • 0037366397 scopus 로고    scopus 로고
    • The noncommutative A-ideal of a (2, 2p + 1)-torus knot determines its Jones polynomial
    • R. Gelca, and J. Sain, The noncommutative A-ideal of a (2, 2p + 1)-torus knot determines its Jones polynomial, J. Knot Theory Ramification 12 (2003) 187-202.
    • (2003) J. Knot Theory Ramification , vol.12 , pp. 187-202
    • Gelca, R.1    Sain, J.2
  • 8
    • 11244283359 scopus 로고    scopus 로고
    • 2 invariants of knots and integral homology spheres
    • 2 invariants of knots and integral homology spheres, Geometry and Toplogy Monographs, Vol. 4 (2002), pp. 55-68.
    • (2002) Geometry and Toplogy Monographs , vol.4 , pp. 55-68
    • Habiro, K.1
  • 9
    • 11244337993 scopus 로고    scopus 로고
    • q-series and L-functions related to half-derivatives of the Andrews-Gordon identity
    • to appear
    • K. Hikami, q-series and L-functions related to half-derivatives of the Andrews-Gordon identity, Ramanujan J. (2004), to appear.
    • (2004) Ramanujan J.
    • Hikami, K.1
  • 11
    • 17144439538 scopus 로고    scopus 로고
    • Torus knot and minimal model
    • _, Torus knot and minimal model, Phys. Lett. B575 (2003) 343-348.
    • (2003) Phys. Lett. , vol.B575 , pp. 343-348
  • 12
    • 0000356516 scopus 로고    scopus 로고
    • The hyperbolic volume of knots from quantum dilogarithm
    • R. M. Kashaev, The hyperbolic volume of knots from quantum dilogarithm, Lett. Math. Phys. 39 (1997) 269-275.
    • (1997) Lett. Math. Phys. , vol.39 , pp. 269-275
    • Kashaev, R.M.1
  • 13
    • 0038012561 scopus 로고    scopus 로고
    • Quantum invariants of 3-manifolds: Integrality, splitting, and perturbative expansion
    • T. T. Q. Le, Quantum invariants of 3-manifolds: Integrality, splitting, and perturbative expansion, Topology Appl. 127 (2003) 125-152.
    • (2003) Topology Appl. , vol.127 , pp. 125-152
    • Le, T.T.Q.1
  • 15
    • 11244316348 scopus 로고    scopus 로고
    • Skein-theoretical derivation of some formulas of Habiro
    • G. Masbaum, Skein-theoretical derivation of some formulas of Habiro, Algebr. Geom. Topol. 3 (2003) 537-556.
    • (2003) Algebr. Geom. Topol. , vol.3 , pp. 537-556
    • Masbaum, G.1
  • 17
    • 84973933723 scopus 로고
    • The coloured Jones function and Alexander polynomial for torus knots
    • H. R. Morton, The coloured Jones function and Alexander polynomial for torus knots, Proc. Cambridge Philos. Soc. 117 (1995) 129-135.
    • (1995) Proc. Cambridge Philos. Soc. , vol.117 , pp. 129-135
    • Morton, H.R.1
  • 18
    • 0002742222 scopus 로고    scopus 로고
    • The colored Jones polynomials and the simplicial volume of a knot
    • H. Murakami and J. Murakami, The colored Jones polynomials and the simplicial volume of a knot, Acta Math. 186 (2001) 85-104.
    • (2001) Acta Math. , vol.186 , pp. 85-104
    • Murakami, H.1    Murakami, J.2
  • 19
    • 0030545491 scopus 로고    scopus 로고
    • A contribution of the trivial connection to Jones polynomial and Witten's invariant of 3d manifolds I
    • L. Rozansky, A contribution of the trivial connection to Jones polynomial and Witten's invariant of 3d manifolds I, Commun. Math. Phys. 175 (1996) 275-296.
    • (1996) Commun. Math. Phys. , vol.175 , pp. 275-296
    • Rozansky, L.1
  • 20
    • 0012890271 scopus 로고    scopus 로고
    • Cyclic Dehn surgery and the A-polynomial
    • P. D. Shanahan, Cyclic Dehn surgery and the A-polynomial, Topology Appl. 108 (2000) 7-36.
    • (2000) Topology Appl. , vol.108 , pp. 7-36
    • Shanahan, P.D.1
  • 22
    • 0001195414 scopus 로고    scopus 로고
    • Vassiliev invariants and a strange identity related to the Dedekind eta-function
    • D. Zagier, Vassiliev invariants and a strange identity related to the Dedekind eta-function, Topology 40 (2001) 945-960.
    • (2001) Topology , vol.40 , pp. 945-960
    • Zagier, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.