REFERENCES
- Alvarez , M. and Labastida , J. M. F. 1996 . “Vassiliev invariants for torus knots.” . J. Knot Theory Ramifications , 5 : 779 – 803 . [Alvarez and Labastida 96]
- Bar-Natan , D. 1995 . “Polynomial invariants are polynomial.” . Math. Res. Lett. , 2 : 239 – 246 . [Bar–Natan 95]
- Birman , J. and Lin , X.–S. 1993 . “Knot polynomials and Vassiliev's invariants.” . Invent. Math. , 111 : 225 – 270 . [Birman and Lin 93]
- Burde , G. and Zieschang , H. 1980 . Knots. Berlin : de Gruyter. . [Burde and Zieschang 85], Number 5 in Studies in Mathematics
- Dasbach , O. T. , Le , T. D. and Lin , X.–S. 2001 . “Quantum morphing and the Jones polynomial.” . Comm. Math. Phys. , 224 ( 2 ) : 427 – 442 . [Dasbach et al. 01]
- Dean , J. 1994 . “Many classical knot invariants are not Vassiliev invariants.” . J. Knot Theory Ramifications , 3 : 7 – 9 . [Dean 94]
- Domergue , M. and Donato , P. 1996 . “Integrating a weight system of order n to an invariant of (n–l)-singular knots.” . J. Knot Theory Ramifications , 5 : 23 – 35 . [Domergue and Donato 96]
- Hoste , J. and Thistlethwaite , M. 1999 . Knotscape [Hoste and Thistlethwaite 99], available at http://www.math.utk.edu/~morwen
- Kronheimer , P. and Mrowka , T. 1993 . “Gauge theory for embedded surfaces I.” . Topology , 32 : 773 – 826 . [Kronheimer and Mrowka 93]
- Lannes , J. 1993 . “Sur les invariants de Vassiliev de degré inférieur ou égal á 3.” . Enseign. Math. (2) , 39 : 295 – 316 . [Lannes 93]
- Lin , X.-S. and Wang , Z. 1996 . “Integral geometry of plane curves and knot invariants.” . J. Differential Geom. , 44 : 74 – 95 . [Lin and Wang 96]
- 1981–1997 . Maple symbolic computation software Waterloo Maple Inc. . [Maple 97] http://www.maplesoft.com
- Murasugi , K. 1991 . “On the braid index of alternating links.” . Trans. Amer. Math. Soc. , 326 ( 1 ) : 237 – 260 . [Murasugi 91]
- Okuda , N. 2002 . On the first two Vassiliev invariants of some sequences of knots. , Master's thesis Tokyo Inst. Tech. . [Okuda 02], in Japanese
- Polyak , M. and Viro , O. 1994 . “Gauss diagram formulas for Vassiliev invariants.” . International Mathematical Research Notes , 11 : 445 – 454 . [Polyak and Viro 94]
- Polyak , M. and Viro , O. 2001 . “On the Casson knot invariant.” . J. Knot Theory Ramifications , 10 ( 5 ) : 711 – 738 . [Polyak and Viro 01]
- T. Stanford Computer programs and data tables are available online at [Stanford 92] ftp://geom.umn.edu/pub/contrib/vassiliev.tar.Z
- Stanford , T. 1996 . “Braid commutators and Vassiliev invariants.” . Pacific J. Math. , 174 : 269 – 276 . [Stanford 96]
- Stanford , T. 1997 . “Computing Vassiliev's invariants.” . Topology Appl. , 77 : 261 – 276 . [Stanford 97], see also data files [Stanford 92]
- Trapp , R. 1994 . “Twist sequences and Vassiliev invariants.” . J. Knot Theory Ramifications , 3 : 391 – 405 . [Trapp 94]
- Vassiliev , V. A. 1992 . Complements of discriminants of smooth maps: topology and applications Providence : Amer. Math. Soc. . [Vassiliev 92], volume 98 of Trans, of Math. Mono.
- Willerton , S. 1997 . On the Vassiliev invariants for knots and for pure braids. , PhD thesis University of Edinburgh. . [Willerton 97]